Answer:
11.02 = a, rounded to the nearest 10th
Step-by-step explanation:
The length of the ladder (13 ft) forms the hypotenuse of the triangle when leaned against the house. The distance the ladder goes up the wall is the side opposite to the angle we are working with, so we can use the sine function to solve.
Sin X = (opposite side)/(hypotenuse)
Sin 58 = a/13
13(Sin 58) = a
11.02462525 = a
11.02 = a, rounded to the nearest 10th
A 13-foot ladder making a 58-degree angle with the ground will reach approximately 6.9 feet up a wall when we use the cosine function to calculate the height.
To find how many feet up a wall a 13-foot ladder will reach when it makes a 58-degree angle with the ground, we can use trigonometric functions, specifically the cosine function for adjacent and hypotenuse in a right-angled triangle.
The formula we will use is:
cosine(angle) = [tex]\frac{height}{hypotenuse}[/tex]
Re-arranging the equation to solve for the adjacent side, we get:
adjacent side = cosine(angle) * hypotenuse
Now plug in the values:
adjacent side = [tex]cosine(58 ^0) * 13 feet[/tex]
We can calculate the cosine of 58 degrees using a calculator and multiply it by 13, which will give us the height the ladder reaches on the wall. Let's calculate:
adjacent side = 0.5299 * 13 feet
adjacent side = 6.8887 feet
Therefore, a 13-foot ladder at a 58-degree angle with the ground will reach approximately 6.9 feet up a wall.
80 × 16 multiplication
Answer: 1280
Step-by-step explanation:
It's simple multiplication, Hopefully this helps:) Mark me the brainliest:)!!!
* ∞ 234483279c20∞
Answer:
1280
Step-by-step explanation:
just multiply 80
16 time and your will get 1280.
another way is to use the 8 in 80 and multiply by 8s 16 time then and yall get 128 then add the 0 from 80 and that's how you'll get 1280
Julius is going to have a multi-course meal. The following table shows how many different dishes are offered for each course.
Course
Number of dishes
Appetizer 333
Main course 444
Dessert 333
How many different meal combinations does Julius have to choose from?
Answer:
(3)*(4)*(3) = 36 different meal combinations
Step-by-step explanation:
Course - Number of dishes
Appetizer 3
Main course 4
Dessert 3
Since we can choose any combination of dishes, we have
3 possibilities for the appetizer, 4 possibilities for main course and three possibilities from dessert.
3 and 4 and 3
3 ∧ 4∧ 3
(3)*(4)*(3) = 36
Answer: 36
Step-by-step explanation:
Given: Julius is going to have a multi-course meal.
The following table shows how many different dishes are offered for each course.
Course Number of dishes
Appetizer 3
Main course 4
Dessert 3
Now, the different meal combinations for Julius is given by :-
[tex]3\times4\times3=36[/tex]
Hence, there are 36 different meal combinations .
Simplify the expression 5g + 5 -2g + g + 5h
Answer:
[tex]\large\boxed{5g+5-2g+g+5h=4g+5+5h}[/tex]
Step-by-step explanation:
[tex]5g+5-2g+g+5h\qquad\text{cobine like terms}\\\\=(5g-2g+g)+5+5h=4g+5+5h[/tex]
Find the volume of a cone with a radius of 15cm and height of 4cm
15 cm x 4 = 60 cm
ANSWER = 60 cm
Answer:
251.33 or 251 1/3
Step-by-step explanation:
What is the length of diagonal d of a cube that is 10 on each edge?Round your answer to the nearest tenth of an inch.
Answer:
17.3 in
Step-by-step explanation:
(a) Diagonal on a face
First, we calculate the diagonal f on a face of the cube.
a² + a² = f²
f² = 2a²
(b) Diagonal of the cube
Consider the triangle made by the diagonal d, diagonal f, and the edge of the cube
d² = f² + a²
Substitute the value of f² d² = 2a² + a² = 3a²
Take the square root of each side d = a√3
Substitute the value of a d = 10√3 = 10 × 1.732 = 17.3 in
The diagonal of the cube is 17.3 in.
Identify the domain of the function
The answer is C. is right
Answer:
C) (-4, 4]
Step-by-step explanation:
We have been given a graph of the function as shown in the picture. Now using that graph, we need to find the domain of the function and match with the given choices to find the correct domain.
Where given choices are :
A) [-4, 4)
B) [-4, 4]
C) (-4, 4]
D) (-4, 4)
Remember that we use ( or ) for open circle. and [ or ] for close circle.
Hence correct domain is
C) (-4, 4]
find the approximate area of a circle with radius equal to 8 feet
Answer:
201.06ft^2
Step-by-step explanation:
The formula for the area of a circle is pi*r^2
We just plug in 8 for r and we get our answer.
Answer:
The correct answer is,
area of given circle = 200.96 feet square
Step-by-step explanation:
Formula:-
Area of circle = πr²
Where r is the radius of circle
To find the area of given circle
Here radius r = 8 feet
Area = πr² = 3.14 * 8² = 3.14 * 64
= 200.96
Therefore area of given circle = 200.96 feet square
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 56 feet. Find the length of the rectangle.
Answer:
length = 21
Step-by-step explanation:
P = 2L + 2W, L = 3W
P = 2(3W) + 2W = 56
8W = 56
W = 7
L = 3W = 3(7) = 21
Answer: The answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet.
Step-by-step explanation: Here are 5 steps in order to find the length of the rectangle with the given perimeter of the rectangle:
Let P represent the perimeter of the rectangle and let L represent the unknown length of the rectangle.Step 1. Write the formula of the perimeter of the rectangle and unknown of the length of the rectangle that looks in the equation form like this: P = 2L + 2W, L = 3W.
Step 2. Substitute L into 3W that looks in the equation form like this: [tex]P = 2(3W) + 2W = 56.[/tex]
Step 3. Multiply 2 and 3W then add 2W together that looks in the equation form like this: [tex]8W = 56.[/tex]
Step 4. Divide both sides by 8 that looks in the equation form like this: [tex]W = 7.[/tex]
Step 5. Hence your answer to this math question about finding the length of the rectangle with the given perimeter of the rectangle is 21 feet that looks in the equation form like this: [tex]L = 3W = 3(7) = 21.[/tex]
I hope that my full given answer with my full given step-by-step explanation is very helpful to your own math question about finding the length of the rectangle with the given perimeter of the rectangle, please mark me as Brainliest, take care, always be safe, and have a great rest of the weekend, and also have a good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
1/4 cups = _______ pt
1/4 cup is equal to 0.125 pt
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base? Draw a picture of the problem. Explain your thinking,
Answer:
The measure of the longer base is [tex]9\ cm[/tex]
The picture of the problem in the attached figure
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}(b1+b2)h[/tex]
where
b1 ----> the measure of the shorter base
b2 ----> the measure of the longer base
h ---> is the height
In this problem we have
[tex]A=30\ cm^{2}[/tex]
[tex]b1=6\ cm[/tex]
[tex]h=4\ cm[/tex]
substitute the values and solve for b2
[tex]30=\frac{1}{2}(6+b2)4[/tex]
[tex]15=(6+b2)[/tex]
[tex]b2=15-6=9\ cm[/tex]
The measure of the longer base is:
9 centimeters
Step-by-step explanation:We know that the area of a trapezoid with height h and two parallel bases b and b' is given by the formula:
[tex]\text{Area of trapezoid}=\dfrac{1}{2}\times (b+b')\times h[/tex]
Here we have:
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters.
i.e.
[tex]30=\dfrac{1}{2}\times (b+6)\times 4\\\\30=2(b+6)\\\\b+6=\dfrac{30}{2}\\\\b+6=15\\\\b=15-6\\\\b=9\ \text{centimeters}[/tex]
1a. Javier jogs 3/4 of a mile in 8 1/2 minutes.
If he keeps the same pace, how many minutes does it take him to jog 1 mile?
(answer as a mixed number)
1b. A recipe for 1 1/4 dozen of cupcakes calls for 1 2/3 cups of flour, but Rashida has only 1 cups of flour.
How many cupcakes can she make?
(answer as a mixed number)
Javier takes 5 1/8 minutes to jog 1 mile. Rashida can make 2 cupcakes with 1 cup of flour.
Explanation:1a. To find out how many minutes it takes Javier to jog 1 mile, we can set up a proportion. Since he jogs 3/4 of a mile in 8 1/2 minutes, we can set up the equation: (3/4)/(8 1/2) = 1/x, where x is the number of minutes it takes him to jog 1 mile. To solve for x, we can cross multiply and simplify the equation.
First, we convert 8 1/2 to an improper fraction: 8 1/2 = 17/2.
Then, we can multiply both sides of the equation by 2 (to get rid of the denominator): (3/4) * 2 = (17/2) * (1/x). After simplifying, we get x = 5 1/8. Therefore, it takes Javier 5 1/8 minutes to jog 1 mile.
1b. To find out how many cupcakes Rashida can make with only 1 cup of flour, we can set up a proportion. Since the recipe calls for 1 2/3 cups of flour for 1 1/4 dozen of cupcakes, we can set up the equation: (1 2/3)/(1 1/4) = 1/x, where x is the number of cupcakes Rashida can make. To solve for x, we can cross multiply and simplify the equation.
First, we convert 1 2/3 to an improper fraction: 1 2/3 = 5/3.
Then, we can multiply both sides of the equation by 3 (to get rid of the denominator): (5/3) * 3 = (1 1/4) * (1/x). After simplifying, we get x = 2. Therefore, Rashida can make 2 cupcakes with 1 cup of flour.
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Can you help me find the measure of each angle? Diagram attached
Answer:
5x = 100°
4x = 80°
Step-by-step explanation:
We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.
We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.
So we can write it as:
[tex]5x+4x=180[/tex]
[tex]9x=180[/tex]
[tex]x=\frac{180}{90}[/tex]
[tex]x=20[/tex]
Finding the measure of both the angles:
[tex]5x = 5(20) =[/tex] 100°
[tex]4x = 4(20) =[/tex] 80°
Answer:
<ABD = 100° and <CBD = 80°
Step-by-step explanation:
From the given figure we can see a linear pair
To find the value of x
The given two linear pair angles are,
1). 5x°
2) 4x°
The sum of linear pair angles is 180°
Therefore we can write,
5x + 4x = 180
9x = 180
x = 190/9 = 20°
To find two angles
<ABD = 5x = 5 * 20 = 100° and
<CBD = 4x = 4 * 20 = 80°
Therefore two angles are, <ABD = 100° and <CBD = 80°
Which of the following is the solution of 5e2x - 4 = 11?
Answer:
x = (1/2)(ln 3)
Step-by-step explanation:
Please indicate exponentiation using the symbol " ^ ":
5e^(2x) - 4 = 11
To solve this, add 4 to both sides, obtaining: 5e^(2x) = 15
Next, divide both sides by 5, obtaining e^(2x) = 3
Now take the natural logarithm (ln) of both sides:
2x = ln 3
Finally, divide both sides by 2, obtaining: x = (1/2)(ln 3)
This last result is approx. equal to 0.549
Answer:
It's C) x= in3/2
on Edg.
Find the cost of one item to the nearest cent. Round if necessary. 4 lbs. of bananas for $1.92
0.48 cents per pound.
For this case we must find the unit cost of bananas, that is, one pound of banana. For this, we make a rule of three:
4lb -----------> $ 1.92
1lb -----------> x
Where the variable "x" represents the cost of a pound of banana.
[tex]x = \frac {1 * 1.92} {4}\\x = 0.48[/tex]
Thus, the banana pound costs $ 0.48.
If we round we have $ 0.50
ANswer:
$ 0.48
Solve the exponential function
Answer:
See below.
Step-by-step explanation:
Just like 18, continue with 19-21. Solve for x by rewriting each equation in log form.
[tex]e^x = 4.9\\\\x = ln 4.9\\\\x = 1.59[/tex]
When rewriting the form, the base of the exponent becomes the base of the log.
A chef uses 4.5
cups of tomatoes to make each batch of pasta sauce. If
represents the number of cups of sauce, which equation models this situation?
A.=4.5, where is the number of batches
B.=4.5 where is 1 batch of sauce
C.=4.5 where is the number of batches
D.=4.5 where is the number of cups of tomatoes in a batch of sauce
Answer:
D.=4.5 where is the number of cups of tomatoes in a batch of sauce
Step-by-step explanation:
t=cups of tomatoes
x=batch(es) of pasta sauce
Example:
The chef wants to know how many tomatoes he needs to make 2 batches of pasta sauce.
x=2
So 4.5x2=9
Answer for the example is 9
A shirt originally cost $47.26, but it is on sale for $44.90. What is the percentage decrease of the price of the shirt?
Answer: 5%
Step-by-step explanation: In order to calculate the percentage of the discount we need to first calculate the amount of the discount.
$47.26 - $44.90 = $2.36 discount amount
In order to calculate the percentage of the discount you must divide the discount amount by the original cost.
$2.36 / $47.26 = .0499 = rounded off to a 5% discount
Answer:
The decrease is by 5%.
write the equation of a circle with center of (5,-3) and a radius of 4
Answer:
[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (5, -3) and the radius r = 4. Substitute:
[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]
How do I solve this?
Answer:
Step-by-step explanation:
Order the data from least to greatest
1,2,2,3,3,3,4,4,5,6,
Find the median.
3+3=6/2=2
Calculate the median of both the lower and upper half of the data.
Lower: 2+2=4/2=2. Upper: 4+5=9/2=4.5
The IQR is the difference between the upper and lower medians.
4.5 - 2= 2.5
What is the image of (4,7) after a reflection over the line y= - X ?
(-4, 7) would be the answer
A reflection of the point (4,7) over the line y=-x swaps and negates the x and y coordinates which leads to the new point being (-7,-4).
The image of the point (4,7) when reflected over the line y = -x is determined by essentially flipping the x and y coordinates of the original point and negating them.
This is because a reflection over the line y = -x swaps the x and y values and takes their opposite. Thus, the original point (4,7) would evolve into the point (-7,-4) after the reflection.
To break this down, the original x value was 4, and after reflection, this becomes -7 which is the new x-coordinate.
The original y value was 7, and after reflection, this becomes -4 which is the new y-coordinate. Therefore, the image of (4,7) after the reflection over the line y = -x is (-7,-4).
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If x = 17 cm and y = 8 cm, what is the length of z? A. 13 cm B. 19 cm C. 14 cm D. 15 cm
Answer:
unknown
Step-by-step explanation:
your question may be incomplete
True r false? A circle could be circumscribed about the quadrilateral below?
Answer:
I would say its true
Step-by-step explanation:
Help me solve this please
[tex] \cos(42) = \frac{ RS}{3} \\ RS = 3 \times \cos(42) \\ RS = - 1.19[/tex]
1.19
Which expression represents the total surface area, in square centimeters, of the square pyramid?
Answer:
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Step-by-step explanation:
From figure we can see a square pyramid with base edge 8.2 and slant height 10.3
Points to remember
Total area of square pyramid = Base area + Lateral face area
Lateral face area = 4 * One face area
To find the lateral face area
The face is like a triangle with base 8.2 and slant height = 10.3
Area of triangle = bh/2
Face area = 1/2(8.2) (10.3)
Lateral surface area = 4[1/2(8.2) (10.3)]
To find the base are
Base is a square with base edge = 8.2
Base area = side * side = (8.2)(8.2)
To find the total area of pyramid
Total area = Base area + Lateral face area
Total area = (8.2)(8.2) + 4[1/2(8.2) (10.3)]
Therefore the correct answer is first option
Answer:
(8.2)(8.2) + 4[1/2(8.2) (10.3)]
Step-by-step explanation:
a. i tooke
Angles b and c are called____angles
Answer:
The correct answer would be D they are vertical angles because their vertex touch
Step-by-step explanation:
Answer:
Vertical angles
Step-by-step explanation:
Vertical angles are angles opposite to each other at the intersection of two lines.
-8x+4=36 What is the solution to this equation
Answer:
X= -4
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
-8x+4=36
-8x=36-4
-8x=32
x=32/(-8)
x=-4
Select the equations of f the lines that are parallel to the lines whose equations is y=3x+5
Answer:
y = 3x + b where b is any real numberStep-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation: [tex]y=3x+5[/tex]
Parallel lines have the same slope. Therefore the equation of the lines that are parallel to the given line if in form:
[tex]y=3x+b[/tex]
where b is any real number.
his recipe makes 5 pancakes.
Sanjay follows the recipe but wants to make 20 pancakes.
How much of each ingredient does he need?
Recipe: Makes 5
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 ml milk
1 egg
2 tablespoons (tbsps) oil
Answer:
540g flour
4tsp baking powder
8tbsps sugar
520mL milk
4 eggs
8tbsps oil
Step-by-step explanation:
To find out how many times he would need to make the recipe, we can divide 20 by 5:
[tex]\frac{20}{5} =4[/tex]
Now we know that Sanjay must make the recipe four times to make 20 pancakes. We need to multiply each value by 4 to get how much he needs to make 20.
[tex](4)(135)=540\\(4)(1)=4\\(4)(2)=8\\(4)(130)=520\\(4)(1)=4\\(4)(2)=8[/tex]
Sanjay can make 20 pancakes by multiplying each ingredient in the original recipe for 5 pancakes by 4. This gives 540 g flour, 4 tsp baking powder, 8 tbsps sugar, 520 ml milk, 4 eggs, and 8 tbsps oil.
To adjust the quantities of ingredients for a recipe to make a different number of servings, we multiply the amounts of each ingredient by the factor that represents how many times the original number of servings we want to make. Sanjay's goal is to make 20 pancakes instead of 5, which is 4 times the original recipe. We'll multiply each ingredient quantity by 4 to find out how much of each is needed for 20 pancakes.
Multiply the amount of flour (135 g) by 4 to get 540 g of flour.
Multiply the amount of baking powder (1 tsp) by 4 to get 4 tsp of baking powder.
Multiply the amount of sugar (2 tbsps) by 4 to get 8 tbsps of sugar.
Multiply the amount of milk (130 ml) by 4 to get 520 ml of milk.
Multiply the amount of eggs (1 egg) by 4 to get 4 eggs.
Multiply the amount of oil (2 tbsps) by 4 to get 8 tbsps of oil.
How do I solve system of equations by substitution
3x-7y=41
x=-2y-21
Answer:
(-5;-8)
Step-by-step explanation:
-6y-63-7y=41
-13y=104
y=-8
x=-2*-8-21=-5
The solution is
The value of x = -5
The value of y = -8
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the equation A is
3x - 7y = 41 be equation (1)
x = -2y - 21 be equation (2)
Now , substitute the value of equation (2) in equation (1) , we get
3x - 7y = 41
3 ( -2y - 21 ) - 7y = 41
On simplifying the equation , we get
-6y - 63 - 7y = 41
Adding 63 on both sides of the equation , we get
-13y = 104
Divide by -13 on both sides of the equation , we get
y = -8
So , the value of y = -8
Substitute the value of y in equation (2) , we get
x = -2y - 21
x = - 2 ( -8 ) - 21
x = 16 - 21
x = -5
So , the value of x = -5
Therefore , the value of x is -5 and y is -8
Hence ,
The value of x = -5
The value of y = -8
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What is the volume of a shoe box that is 15x10x8 inches
Answer:
1200 inches cubed.
Step-by-step explanation:
You literally multiply what the measurements are. :)