Answer:
so where the points are on the triangles is where you would go side to side and up and down
Step-by-step explanation:
Find the lengths of the sides:
BA = 4, this would be y1
BC = 6, this would be x1
CD = 2, this would be y2
DE = 3, this would be x2
The slope is the Y over X
Slope of ABC = 4 / 6
Slope of CDE = 2 / 3
Answer A equals both of those:
6-2 / 9-3 = 4/6
8-6 = 12-9 = 2/3
You made 1/2 quart of lemonade.How many 1/4 quart-sized glasses will you be able to fill with lemonade
Well answer is 2 cause 1/4+1/4 is 1/2
Which number is irrational
For this case, we have by definition, that an irrational number is a number that can not be expressed as a fraction [tex]\frac {a} {b}[/tex], where a and b are integers and b is nonzero.
Some examples are:
[tex]\sqrt {2}, \sqrt {3}, e, \pi.[/tex]
So, that the answer is [tex]\pi.[/tex]
Answer:
Option C
If x−y=80 and 3/5 = y/x , then what is the value of x?
Answer:
x=200
Step-by-step explanation:
x−y=80
3/5 = y/x
Multiply the second equation by x
3/5 x = y/x *x
3/5 x = y
Substitute this into the first equation for y
x-y =80
x - 3/5x = 80
2/5 x = 80
Multiply each side by 5/2 to isolate x
5/2 *2/5x = 80 *5/2
x = 200
another one :) thank you ahead of time!!
[tex]x = 0.4828282[/tex]
[tex]1000x = 482.828282[/tex]
[tex]999x = 482.346[/tex]
[tex]x = \frac{482}{999} + \frac{362}{1000} [/tex]
[tex]x = \frac{843638}{999000} [/tex]
Answer:
[tex]\dfrac{239}{495}[/tex]
Step-by-step explanation:
[tex]\text {Let x = } 0.4 \overline {82}[/tex]
[tex]1000x = 482. \overline {82}[/tex]
[tex]10x = 4. \overline {82}[/tex]
[tex]1000x - 10x = 482. \overline {82} - 4. \overline {82}[/tex]
[tex]990x = 478[/tex]
[tex]x = \dfrac{478}{990}[/tex]
[tex]x = \dfrac{239}{495}[/tex]
A bottle of la belle bœuf contains 3/8 ounces of perfume. How many ounces of perfume would 4 1/2 bottles contain?
ANSWER
[tex]1 \frac{11}{16} ounces[/tex]
EXPLANATION
It was given that,a bottle of la belle bœuf contains 3/8 ounces of perfume.
We want to find how many ounces of perfume would 4 1/2 bottles contain.
If 1 bottle contains 3/8 ounces;
Then 4½ bottles should contain more ounces.
If more less divides.
4½ bottles contain
[tex] \frac{4 \frac{1}{2} \times \frac{3}{8} }{1} [/tex]
[tex] = \frac{27}{16} [/tex]
=1.6875 ounces.
4 (1/2) bottles of la belle bœuf contains 1 (11/16) ounces of perfume.
To find out how many ounces of perfume are in 4(1/2) bottles of La Belle Bœuf, we need to multiply the amount of perfume in one bottle by the number of bottles.
First, let's convert 4(1/2) bottles into an improper fraction:
Convert the mixed number to an improper fraction:Next, multiply by the amount in one bottle:
(9/2) * (3/8)Multiply the numerators together: 9 * 3 = 27Multiply the denominators together: 2 * 8 = 16Simplify the fraction: 27/16 = 1 (11/16) ouncesTherefore, 4(1/2) bottles of La Belle Bœuf contain 1 (11/16) ounces of perfume.
f(x) = X^2. what is g(x) A. g(x) = x^2 - 4 B. g(x) = x^2 + 4 C. g(x) = -4x^2 D. g(x) = -x^2 - 4
Answer:
D. g(x) = -x^2 - 4
Step-by-step explanation:
(A.P.E.X)
The required function g(x) = -x²- 4. Option D is correct.
f(x) = x², g(x) to be determine with help of graph.
Function is defined as y = f(x). For every x their is certain value of y.
Here, from the graph g(x) is reflection of f(x) at y = -4.
So g(x) = -f(x) - 4
negative sign for reflection.
g(x) = -x²-4
Thus, The required function g(x) = -x²- 4.
Learn more about functions here:
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how do you find the measure of each angle of m<8=115
You would do 180 - 115 and that gives you the < for 7
Answer:
1. 65 deg
2. 115 deg
3. 115 deg
Step-by-step explanation:
1.
Angles 7 and 8 are supplementary. Their measures add to 180 deg.
m<7 + m<8 = 180
m<7 + 115 = 180
m<7 = 180 - 115
m<7 = 65
2.
Since lines p and q are parallel lines cut by a transversal, corresponding angles 6 and 8 are congruent.
m<6 = m<8
m<6 = 115
3.
Angles 1 and 6 are vertical angles, so they are congruent.
m<1 = m<6
m<1 = 115
Write an equivalent expression for 4(6x-5)
Answer:
24x-20
Step-by-step explanation:
4(6x-5)
Distribute the 4
4*6x -4 *5
24x-20
Answer:
24x-20
Step-by-step explanation:
4*6x=24x
4*5=20
24x-20
What is the opposite of square root
the opposite is squared so,
square root of 4 is 2 and 2 squared is 4
The opposite of a square root √ is the squared exponent ²
If you have a number and find the square root of it, you can take the answer and square it to get the original number. Cool, huh?
Help me in this question please
The least number 4 and 10 go into is 20. (4 goes into 20 five times and 10 goes into 20 two times)
If a boy threw 8 books in to a pond and originally had 147 books how many books does he now have?
Answer:
139
Step-by-step explanation:
He originally had 147 books and threw 8 into a pond.
147-8=139
How many terms are in the expression?
4x + 3y + 7z + 5
I need help ASAP!
Answer:
4.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Just count all of the groups
What is the mean of 22,7,22,1,7,18,16,6,6
Answer:
The answer to this is 11.666.....
Step-by-step explanation:
To find mean we add up all value and in this case we add all of which resulting into 105 and to find out average we must divide by the amount of terms (this case numbers)
105/9 gives us an answer of 11.666...
Hope this helps and enlightens your day
To find the mean, you add up all of the numbers, then divide the sum by the amount of numbers you have.
You have 9 numbers:
22, 7, 22, 1, 7, 18, 16, 6, 6
Now you need to add them together
22 + 7 + 22 + 1 + 7 + 18 + 16 + 6 + 6 = 105
Now you divide:
[tex]mean=\frac{105}{9}=\frac{35}{3}[/tex] or 11.6666666666.......
Natasha surveyed a group of students and recorded the number of letters in their first name. She displayed the data in the following dot plot.
Which is the best measure of center for the data?
A. interquartile range
B. mean
C. mean absolute deviation
D. median
Answer:
the answer is D: median
Step-by-step explanation:
Median and mean are measures of center.
Mean is best to use when the data distribution is symmetric or mostly symmetric, whereas median is best to use when the data distribution is not symmetric, or skewed.
Since the data distribution is skewed and not symmetric, the median is the best measure of center for the data.
If the divisor is eight tenths and the dividend is forty eight hundredths what is the quotient?
Answer:
3737
Step-by-step explanation:
njrdndjfjdjdjjekekekekekekekewkekke
[tex]\bf \stackrel{dividend}{\cfrac{48}{100}}\div \stackrel{divisor}{\cfrac{8}{10}}\implies \cfrac{48}{100}\cdot \cfrac{10}{8}\implies \cfrac{10}{100}\cdot \cfrac{48}{8}\implies \cfrac{1}{10}\cdot \cfrac{6}{1}\implies \cfrac{6}{10}\implies \cfrac{3}{5}[/tex]
Classwork 12.1 surface area
Answer:
6) LA = 90 units² and SA = 202 units²
7) LA = 377 units² and SA = 477.5 units²
8) LA = 208 units² and SA = 232 units²
9) LA = 455 units² and SA = 591 units²
Step-by-step explanation:
* Lets revise the rules of lateral area and surface area
- Lateral area of the solid = perimeter of its base × its height
- Surface area = lateral area + 2 × area of its base
* Now lets solve the problems
6) The solid is a rectangular prism
- Its base is a rectangle with dimensions 8 units and 7 units
- Its height is 3 units
∵ Perimeter of the rectangle = 2(L + W)
∴ Perimeter of the base = 2(8 + 7) = 2(15) = 30 units
∴ LA = 30 × 3 = 90 units²
∵ Area of the rectangle = L × W
∴ Area of the base = 8 × 7 = 56 units²
∴ SA = 90 + 2 × 56 = 90 + 112 = 202 units²
7) The solid is a cylinder
- Its base is a circle with diameter 8 units
∴ Its radius = 8 ÷ 2 = 4 units
- Its height is 15 units
∵ The perimeter of the circle is 2πr
∴ The perimeter of the base = 2π(4) = 8π
∴ LA = 8π(15) = 120π = 376.99 ≅ 377 units²
∵ The area of the circle = πr²
∴ The area of the base = π(4)² = 16π
∴ SA = 120π + 2 × 16π = 120π + 32π = 152π = 477.5 units²
6) The solid is a triangular prism
- Its base is a triangle with sides 5 , 5 , 6 units and height 4 units
- Its height is 13 units
∵ Perimeter of the triangle is the sum of the 3 sides
∴ Perimeter of the base = 5 + 5 + 6 = 16 units
∴ LA = 16 × 13 = 208 units²
∵ Area of the triangle = 1/2 × base × height
∴ Area of the base = 1/2 × 6 × 4 = 12 units²
∴ SA = 208 + 2 × 12 = 208 + 24 = 232 units²
9) The solid is a prism
- Its base is an isosceles trapezium with parallel bases 7 units and 10
units, 2 non-parallel bases 9 units and height 8 units
- Its height is 13 units
∵ Perimeter of the trapezium is the sum of its sides
∴ Perimeter of the base = 7 + 10 + 9 + 9 = 35 units
∴ LA = 35 × 13 = 455 units²
∵ Area of the trapezium = 1/2(b1 + b2) × h
∴ Area of the base = 1/2(7 + 10) × 8 = 68 units²
∴ SA = 455 + 2 × 68 = 455 + 136 = 591 units²
What is the sum of the infinite geometric series represented by?
A. 600
B. 360
C. 480
D. 720
Answer:
B. 360 hope it helps
faze up
Choose the equation that models the following problem.
When the side of a square is doubled, its area is increased to 28 cm^2.
Answer:
[tex](2x)^2=28[/tex]
Step-by-step explanation:
The equation for the area of a square is [tex](x)^2=A[/tex]
In this case, the value within the parenthesis are the lengths of each side.
As you are doubling the length of the side and know the area, the equation can be written as follows
[tex](2x)^2=28[/tex]
Andy and bart have marbles in the ratio 4:5. andy loses 9 and the ratio now is 5:7. how many did they each have initially ?
Answer:
Andy = 84 and Bart = 105
Step-by-step explanation:
Given that the ratio is 4 : 5 = 4x : 5x
Andy loses 9 thus 4x - 9
ratio 4x - 9 : 5x = 5 : 7, that is
[tex]\frac{4x-9}{5x}[/tex] = [tex]\frac{5}{7}[/tex] ( cross- multiply )
25x = 7(4x - 9) ← distribute
25x = 28x - 63 ( subtract 28x from both sides )
- 3x = - 63 ( divide both sides by 3 )
x = 21
Hence
Andy = 4x = 4 × 21 = 84 marbles
Bart = 5x = 5 × 21 = 105 marbles
select the true statement about triangle ABC
Answer:
The answer is C.
The true statement about triangle ABC is sin A=cos C. Therefore, option C is the correct answer.
From the given triangle ABC, CA=13 units, BA=12 units and BC=5 units.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
Here,
sin A= Opposite/Hypotenuse
BC/CA=5/13
cos C= Adjacent/Hypotenuse
BC/CA=5/13
So, sin A=cos C
The true statement about triangle ABC is sin A=cos C. Therefore, option C is the correct answer.
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Complete the following for a rectangular prism
Width= 8 cm
Because 192 / 2 = 96 / 12 = 8
SA= (perimeter * height) + 2 (length * width)
SA= (20*12)+2(2*8)
SA= 240+32
SA= 272 cm2
Answer:
Width : [tex]8cm[/tex]
Surface Area : [tex]272cm^2[/tex]
Step-by-step explanation:
Let's consider the formula for the volume of a rectangular prism.
[tex]V=whl[/tex]
Plug the values we know into the equation.
[tex]192=w*2*12 \\ \\ 192=24w \\ \\ w=8[/tex]
So the width is 8cm.
Now let's consider the formula for the surface area of a rectangular prism.
[tex]A=2(wl+hl+hw)[/tex]
Plug in the values we know into the equation.
[tex]A=2(16+24+96) \\ \\ A=2*136 \\ \\ A=272[/tex]
So the surface area is [tex]272cm^2[/tex].
How do I answer this?
Check the picture below.
Flora is making salsa for a party. Every 1 cup of chopped tomatoes makes 2 3/4 cups of salsa. She uses 1 2/3 cups of tomatoes. How much salsa does she make?
I will make BRAINLIEST
Answer:
4[tex]\frac{7}{12}[/tex] cups of Salsa.
Step-by-step explanation:
Flora is making Salsa for a party.
Every 1 cup of chopped tomatoes makes 2[tex]\frac{3}{4}[/tex] = [tex]\frac{11}{4}[/tex] cups of Salsa
She uses 1[tex]\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex] cups of tomatoes
1[tex]\frac{2}{3}[/tex] cups of tomatoes makes:
[tex]\frac{5}{3}[/tex] × [tex]\frac{11}{4}[/tex] ÷ 1 = [tex]\frac{55}{12}[/tex] = 4[tex]\frac{7}{12}[/tex] cups of Salsa.
Find the area. If applicable, leave the answer in simplest radical form. Helpp
Answer:
The area is [tex]28\ m^{2}[/tex]
Step-by-step explanation:
I assume that the figure is a square
The area of a square is equal to
[tex]A=b^{2}[/tex]
where
b is the length side of the square
In this problem we have
[tex]b=2(\sqrt{7})=2\sqrt{7}\ m[/tex]
substitute in the formula
[tex]A=(2\sqrt{7})^{2}[/tex]
[tex]A=28\ m^{2}[/tex]
Which of the following paris of of functions are inverse of each other?
Answer:
B
Step-by-step explanation:
The question is on inverse of functions
f(x)=2x-9 -----------to find f ⁻(x)
replace f(x) with y;
f(x)=2x-9----------------y=2x-9
replace y with x and x with y
y=2x-9------------------x=2y-9
solve for y
x=2y-9
x+9=2y
(x+9)/2 =y
replace y with g(x) or f ⁻(x)
g(x)=x+9 /2
What is the formula for this? I need help with this really badly
Answer:
x=7
Step-by-step explanation:
We know that When we total the angles in the same arm od trapezoid wee will obtain 180°.
Hence :
12x+3+13x+2=180
25x+5=180
5x+1=36
5x=35
x=7
Greetings From Poland :)
Solve for x. (x - 5)(x - 5) = 0
Answer:
x=5
Step-by-step explanation:
(x - 5)(x - 5) = 0
x-5=0
x=5
Please help me! I don't really understand this
Answer:
(k + 1)/-21 = 1
k + 1 = 1 . (-21)
k + 1 = - 21
k = -21 - 1
k = -22
*this might not be enough so feel free to ask any question
Complete the ratio
4 : 32 = 1 : ?
Answer:
1: 8
Step-by-step explanation:
4 : 32
Divide both the left and right side by 4
4/4 =1
32/4 = 8
4:32 becomes 1:8
Answer:
sorry i do not know
Step-by-step explanation:
Divide. (11x^2+2x^3+14+17x) / (2x+5)
(11x2 + 2x3 + 14 +17x) ÷ (2x + 5)
= (2x^3 + 11x^2 + 17x + 14) ÷ (2x + 5)
= x^2 + 3x + 1 r 9
Answer:
2.2x^2+.4x^2+2.8+3.4x
Step-by-step explanation:
We can factor out a few numbers right off the bat-
(11x^2+2x^3+14+17x) / (2x+5)
(11x^2+2x^2+14+17x) / (5)
Now make the denominator disappear.
(11x^2+2x^2+14+17x) / (5)
2.2x^2+.4x^2+2.8+3.4x
(please contact if wrong)