Answer:
90⁰
Step-by-step explanation:
The diagonal of the rectangles forms two angles with the sides, about 32 degrees and 58 degrees respectively. These are found using the Pythagorean theorem to find the length of the diagonal, and then the arctan function to find the angles.
Explanation:To find the angle that the diagonal makes with the sides of the rectangle, first calculate the length of the diagonal which can be found using the Pythagorean Theorem. In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. We can write this as: c² = a² + b². In this case, the length and width of the rectangle are the two sides (a and b) and the diagonal is the hypotenuse (c).
So a = 68 inches, b = 42 inches. Plugging these into our formula gives: c² = 68² + 42², so c = √[(68²) + (42²)] which approximates to 80 inches.
Next, calculate the angles using the inverse tangent (or arctan) function: θ = arctan(opposite/adjacent). In this case, the angles are = arctan(42/68) and arctan(68/42). This gives us angles of approximately 32 degrees and 58 degrees.
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Equation for 6422 divided by 26
Answer:
247
Step-by-step explanation:
Answer:
6422÷26=247
Step-by-step explanation:
What is the answer?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the answer for -12+x/11=-3
Answer:
x = 99
Step-by-step explanation:
Step 1: Solve for x
-12 + x/11 + 12 = -3 + 12
x/11 * 11 = 9 * 11
x = 99
Answer: x = 99
Simplify the expression
6x^2+20/4
Answer:
6x2+5
Step-by-step explanation:
What is the 15th term in the sequence using the given formula?
yn = 12n-1
Answer:
Step-by-step explanation:
hello :
yn = 12n-1
the 15th term is :y15 when x= 15
y15 = 12(15)-1
y15 = 179
Ronda's car is valued at $24,000, and she owes $22,000 on it. What is her
current equity?
O
A. $46,000
O
B. $2000
O
C. $4000
O
D. $24,000
Answer:
b. $2000
Step-by-step explanation:
yo just need to take away the smaller from the bigger number..
Answer:
Answer B:$2000
Is her current equity
An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
Answer:
There are 462.25 parts being made per hour
Step-by-step explanation:
Step 1: Make an equation
An automobile factory, 1849 parts are made in 4 hours.
1849 / 4 = x
Step 2: Solve
1849 / 4 = x
462.25 = x
Answer: There are 462.25 parts being made per hour
To find the hourly rate the parts are made, just divide.
1,849 / 4 = 462.25 parts made per hour.
Best of Luck!
The ratio of bananas to apples was 2 to 3. If there where 18 bananas how many apples where there
Answer:
There were 27 apples.
Step-by-step explanation:
Set a ratio of bananas to apples like this:
bananas/apples = 2/3
Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.
bananas/apples = 18/a
The two ratios above are equal, so set them equal. That creates a proportion.
2/3 = 18/a
Now we solve for a by cross multiplying.
2a = 3 * 18
2a = 54
a = 27
Answer: There were 27 apples.
Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False
Answer:
Step-by-step explanation:
true
true
false
true
true
false
true
false
Wut is circumference
The length of the outer edge of a circle
Answer:
Circumference is the distance around the outside of a circle
Step-by-step explanation:
What is the answer for -2/5(n + 3) = 10?
Answer: n=-28
Step-by-step explanation:
Answer:
-28
Step-by-step explanation:
1) distribute "-2/5" to each term inside the parentheses:
-2/5(n+3)=10
-2/5n+-6/5=10
add "6/5" on both sides
-2/5n-6/5+6/5=10+6/5
-2/5n=50/5+6/5
-2/5n=56/5
divide both sides by "-2/5"
n=-28
hope this helps
Which is a correct classification for the triangle?
equiangular triangle
acute triangle
right triangle
obtuse triangle
Answer:
acute
Step-by-step explanation:
A motorcycle travels 230 miles on 4 gallons of gasoline.
How far can the motorcycle travel on 5.5 gallons?
Answer:
50 miles per gallon
Explanation:
225 miles divided by 4.5 gallons will give the miles per gallon.
225
4.5
=
50
miles per gallon
Step-by-step explanation:
Answer: i think its 316.25
Step-by-step explanation: i divided 230 and 4 which gives you 57.5 then i multiplied that with 5.5 and i got 316.25
Find the area of a triangle with base b and helght . Round your answer to the nearest hundredth If necessary b = 14.3ml h = 10.7mi
Answer:
76.505------>76.51 ml^2
Step-by-step explanation:
14.3 x 10.7 = 153.01
153.01/2 = 76.505
round to nearest hundredth
Sophia uses 1/2 pound of white flour to make
one loaf of bread and 1/4 pound of cake flour to
make one cake. Which shows how many cakes
and loaves of bread Sophia can make with the
amount of flour that she has?
I give lot of points
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
Step-by-step explanation:
Given,
White flour used for one loaf of bread = 1/2 pound
White flour available = 2 pounds
Cake flour used to make one cake = 1/4 pound
Cake flour available = 3 pounds
We will divide the available amount by the amount used for one.
No. of loaves of bread = [tex]\frac{2}{\frac{1}{2}}=2*2[/tex]
No. of loaves of bread = 4
No. of cakes = [tex]\frac{3}{\frac{1}{4}}=3*4[/tex]
No. of cakes = 12
Therefore,
Sophia can make 12 cakes and 4 loaves of bread.
The right answer is Option A.
includes the points (-6 , n) and (-8, -9) has a slope of 4 what is the value of n?
Step-by-step explanation:
[tex]slope \: = \frac{n - ( - 9)}{ - 6 - ( - 8)} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ - 6 + 8} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ 2} \\ \\ \therefore \: 4 \times 2= n + 9 \\ \\ \therefore 8= n + 9 \\ \\ \therefore \: n = 8 - 9 \\ \\ \huge \red{ \boxed{\therefore \: n = - 1}}[/tex]
Eric needs to find the area of the base of a
cylinder. Which formula will help him
Answer:
πr2
Step-by-step explanation:
If you want to find the base of a cylinder, the formula is AB=πr2.
Answer:
AB=πr2
Step-by-step explanation:
While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.
Answer:
14g zinc
Step-by-step explanation:
To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.
40g x .35 = 14g zinc
The metal bar contains 14 g zinc in the 40 grams metal bar.
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%
Let the weight of the zinc contained in the metal be x
Then we have x=35/100×40
=14 grams
Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.
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Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c. The length of the hypotenuse is cm.
Answer: The length of the hypotenuse is 26 cm
Step-by-step explanation: Please refer to the attached diagram
The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.
Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that
AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides
In this question the hypotenuse is AB, so we now have;
AB² = AC² + CB²
AB² 24² + 10²
AB² = 576 + 100
AB² = 676
Add the square root sign to both sides of the equation
√AB² = √676
AB = 26
Therefore the length of the hypotenuse is 26 cm
Answer:
26 cm is the answer
Step-by-step explanation:
i got the question right
Which equation is the inverse of y = x2 – 36?
O y=+√x+6
y=1\x+36
2 y=+ X + 36
y=+Vx2+36
Answer:
y=1\x+36
Step-by-step explanation:
Factor the expression completely.
20x-16
Answer:
4(5x-4)
Step-by-step explanation:
4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.
If y
per
wha
If you roll a number
cube 50 times, how
many times do you
expect to roll a
number less than 3?
seci
Answer:
8.333
Step-by-step explanation:
50 (times)/ 6 (amount of numbers possible on cube)
What is the value of x in the proportion (x - 1)/5 = (4x + 2)/35?
Answer:
x=3
Step-by-step explanation:
1. cross multiply to get
5(4x+2)= 35(x-1)
2. distribute
20x+10=35x-35
3. combine like terms
45=15x
4. divide :)
3=x
Answer:
x = 3
Step-by-step explanation:
(x - 1)/5 = (4x + 2)/35
to find the value of x
the first thing to do is to cross multiply
from this ,
(x-1)/5 = (4x + 2)/ 35
35(x-1) = 5( 4x + 2)
35x - 35 = 20x + 10
we are going to collect the like terms
35x -20x = 10 + 35
15x = 45
we are going to divide both sides by the coefficient of x which is 15
we have,
15x/15 = 45/15
x = 3
therefore the value of x = 3
to check if your answer is correct, put the value of x and slot it into one of the equations.
35x - 35 = 20x + 10
35(3) - 35 = 20(3) + 10
105 - 35 = 60 + 10
70 = 70........................ proved.
What number is ten times greater than 0.3
Answer: 3
Step-by-step explanation:
The number ten times greater than 0.3 will be 0.3 in ten places
= 0.3 x 10
=3
I hope this helps.
Answer:
The number is 3
Step-by-step explanation:
Step 1: Convert words into an expression
What number is ten times greater than 0.3
n = 10 * 0.3
Step 2: Multiply
n = 10 * 0.3
n = 3
Answer: The number is 3
Add: 43 + ( -13)
Will mark show work if correct
The answer to this problem is 30.
Step-by-step explanation:
43+-13
=30
Check: 43-13 also =30.
So the answer to this equals 30.
Represent Jacey wrote an equation to
find an angle measure. What do a and b
stand for in Jacey's equation?
360° divided by a=b
Her we know that Jacey wrote an equation to find an angle measure. The equation is as follows:
[tex]\frac{360^{\circ}}{a}=b[/tex]
So, if the angle 360° is a central angle, that is, an angle between two radii in a circle, then:
a: Represents the number of equal parts parts the circle is divided
b: Represents the measure of the central angle of each part
For example, suppose you have a circle and want to divide it into six parts, then, the central angle of each part of the circle will measure 60 degrees as indicated in the figure below.
The path of a rotating fan has a diameter of about 18 inches and a circumference of about 56 inches. The path of a smaller model of the fan has a circumference of about 9 inches. What is the diameter of the rotating path of the smaller model? Round the nearest tenth.
Step-by-step explanation:
Proportionately the smaller diameter
18×9=162
162/56=2.89 inches
round it so it's approx 3 inches
Marisol has 64 ounces of lemonade to sell. She divides it into 4 ounce cups. Then she sells 13 cups. How many cups of lemonade does she have left?
Show Your Work
Answer:
3 cups
Step-by-step explanation:
first, divide the number of ounces (64) by the ounces in the cups (4). you get 16. 16 represents the total amount of cups.
we know that she sold 13 cups and the question asks how many cups she has left. so you subtract 16 and 13 and ur final answer is 3
Select the most SPECIFIC name for this shape
O Square
O Rhombus
O
Rectangle
O Parallelogram
8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00
Answer:
$432
Step-by-step explanation:
75(5.76)=432
The standard deviation of Y is $432 and this can be determined by using the formula of standard deviation and the given data.
Given :
A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic yards sold in a single order for concrete from this company, is shown in the table below.The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by (Y = 75X - 100).The formula to obtain the standard deviation is given below:
SD(Y) = SD(75X - 100)
Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.
SD(Y) = 75SD(X) - SD(100)
SD(Y) = 75 SD(X) - 0
SD(Y) = 75 [tex]\times[/tex] 5.76
SD(Y) = $432
Therefore, the correct option is B).
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