Your classmate is unsure about how to use side lengths
to determine the type of triangle. How would you explain
this to your classmate?

Answer:

Step-by-step explanation:

I am pretty sure the answer is b

Answer:

x = ±√(y/25 + 4)

Step-by-step explanation:

Given the expression;

y = 25x² - 100

We are to make x the subject of the formula;

-25x² = -y - 100

25x²= y + 100

x² = y/25 + 100/25

x²= y/25 + 4

x = ±√(y/25 + 4)

This give the value of x

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

Answer:

The slope is 1/8.

Step-by-step explanation:

So basically, when we are trying to find slope, we think of the change of y over the change of x. And so the change of y between those two points would be 4-2 which is 2. And the change of x would be 32-16, which is 16. Because slope is y/x, therefore the slope is 2/16, which is also 1/8 simplified. I hope this helps!

Answer:

Step-by-step explanation:

Answer:

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Step-by-step explanation:

α and β are Supplementary (given)

[tex] \therefore \alpha + \beta = 180\degree.... (1)[/tex]

It is given that:

[tex] \alpha= \frac{3}{2} \beta[/tex]

Plugging the value of α in equation (1), we find:

[tex] \frac{3}{2} \beta + \beta = 180\degree[/tex]

[tex]\therefore \frac{3+2}{2} \beta = 180\degree[/tex]

[tex]\therefore \frac{5}{2} \beta = 180\degree[/tex]

[tex]\therefore \beta = 180\degree\times \frac{2}{5}[/tex]

[tex]\therefore \beta = 72\degree[/tex]

[tex]\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree [/tex]

So,

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Answer:

Not sure how to answer this.

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

if its under that than, that's just disappointing

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19

Answer:

True

Step-by-step explanation:

As a right triangle, it follows the Pathagorem Therom. All you have to do is multiply 15 x 15 = 225 and 20 x 20 = 400, then finally, you would do 25 x 25, which is the biggest number of all, and get 625. Since 225 + 400 = 625, this follows the Pathagorem Therom.

Answer:

The area of the base, B, equals  

✔ 21

cm2.

The volume of the prism is  

✔ 157 1/2

cm3.

Step-by-step explanation:

i took the test

The volume of prism for the given condition is 147 cm³.

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here, Prism(Rectangle)

          Length(L) = 3.5 cm.

          Width(W) = 6 cm

         Height (H) = 7 cm

Volume = Area of Rectangle x Height

Volume of Prism: V = L x W x H

                             V = 3.5 X 6 X 7

                             V = 147 cm³

Thus, The volume of prism for the given condition is 147 cm³.

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Answer:

(x2 +2x+1)+(y2+4y)=31+1

(x+1)2 +(y2+4y)=32

(x+1)2 +(y2+4y+4)=32+4

(x+1)2 +(y+2)2=36

The equation can be written in the form (x-p)2 +(y-q)2=r2

so it represents a circle with the radius r=6  and the center (-1,-2)

Step-by-step explanation:

Answer:

6 units is the amswer

Step-by-step explanation:

here you gooo

Answer: D. 3/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Slope is change in y / change in x

In the graph there is an interception at 0,1 and 2,4

So the change in x is 2 and the change in y is 3

so 3/2

And it's positive since it's going top right.

Answer:

djajahshshsk manually sjss

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Answer:

x = 1+sqrt(69)/8 about 2.0383

or

x = 1-sqrt(69)/8 about -0.0383

Step-by-step explanation:

Use the quadratic formula:

(Move 17 to the left side first though)

(-b±√(b²-4ac))/2a

(1±sqrt(1-4*1*-17))/2(4)

x = 1±sqrt(69)/8

The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

Answer:

[tex](a)\ Area = 195\pi[/tex]

[tex](b)\ Volume = 700\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 12[/tex]

[tex]d_1 = 10[/tex] --- lower diameter

[tex]d_2 = 20[/tex] --- upper diameter

Solving (a): The curved surface area

This is calculated as:

[tex]Area = \pi l(r_1 + r_2)[/tex]

Where

[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius

[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius

And

[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum

[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]

[tex]l = \sqrt{12^2 + (-5)^2[/tex]

[tex]l = \sqrt{144 + 25[/tex]

[tex]l = \sqrt{169[/tex]

[tex]l = 13[/tex]

So, we have:

[tex]Area = \pi l(r_1 + r_2)[/tex]

[tex]Area = \pi * 13(5 + 10)[/tex]

[tex]Area = \pi * 13(15)[/tex]

[tex]Area = 195\pi[/tex]

Solving (b): The volume

This is calculated as:

[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]

This gives:

[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]

[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]

[tex]Volume = \pi *4 * 175[/tex]

[tex]Volume = 700\pi[/tex]

Answer:

1

Step-by-step explanation:

1 because the circumference is the diameter x pi. Since the circumference is 3.14, and 3.14 divided by 3.14 is 1, then the diameter is 1.

Answer:

-1,-6

Step-by-step explanation:

The reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

In mathematics, reflection is a transformation that flips a shape, point, or object over a line, plane, or point. Reflection is also known as flipping, mirroring, or symmetry.

In two-dimensional geometry, the most common type of reflection is a mirror reflection, which involves flipping a shape or point over a line (known as the line of reflection) to create a mirror image. The line of reflection acts as a mirror, and the shape or point is reflected in the mirror as if it were a real reflection.

To find the reflection of the point P=(-1,6) across the x-axis, we can use the following formula:

Rx-axis(P) = (x, -y)

where x is the x-coordinate of P, and y is the y-coordinate of P.

In this case, the x-coordinate of P is -1, and the y-coordinate of P is 6. Therefore, the reflection of P across the x-axis, Rx-axis(P), is:

Rx-axis(P) = (-1, -6)

So the reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

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Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

Answer:

The number of boys who play tennis is 36.

Step-by-step explanation:

Let the number of boys who play tennis is x.

number of boys who play cricket = y

x = 3 y..... (1)  

12 boys plays both cricket and tennis.

According to the question,

x - 12 = y + 1 2

3 y - 12 = y + 12

2 y = 24

y = 12

So, the number of boys who plays tennis is x = 3 x 12 = 36.  

Answer:

15/91

Step-by-step explanation:

P(G,G) = 6/14 x 5/13 = 15/91

Answer: 68.5 pounds

Step-by-step explanation:

he grew 1.5 inches, or 6/4 inches, a total of 6 1/4 inches. 6*(3/4) = 4.5.

If he gained 4.5 pounds, then he would be 64 + 4.5 = 68.5 pounds

Answer:

68.5 pounds

Step-by-step explanation:

hope this helps you!

Step-by-step explanation:

2x+y= 12

= 12,18

= 36

so the value of y is 36

value of x is 48

Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation: