In a certain triangle, one angle has a measure of 55° and another angle has a measure of 70°. If the triangle is
isosceles, then which of the following could be the measure of the third angle?

A. 60
B. 55
C. 63

Answer:

Black and pink!! :D

Mostly pink though :3

9514 1404 393

Answer:

  y = 1/2x^2 +x -15/2

Step-by-step explanation:

The vertex is the point where the graph reaches is extreme: (-1, -8). The y-intercept is (0, -7.5). The x-intercepts are (-5, 0) and (3, 0).

When the quadratic is written in the form ...

  y = x^2 +bx +c

the value of b is the opposite of the sum of the x-intercepts. The value of c is their product. These facts would give ...

  y = x^2 -(-5 +3)x +(-5)(3) = x^2 +2x -15

The constant in this equation is -15, which is the value y has when x=0. Our actual y-intercept is half that, so the graph we see is this equation scaled by a factor of 1/2:

  y = 1/2x^2 +x -15/2

_____

Alternate solution

You can start with the vertex form.

  y = a(x -h)^2 +k . . . . . . . vertical scale factor 'a' and vertex (h, k)

On the graph, the vertical scale factor is the vertical difference between the low point (vertex) and the point that is 1 unit right or left. Here, that is ...

  -7.5 - (-8) = 0.5 = a

We've already said the vertex is (h, k) = (-1, -8), so the vertex form equation is ...

  y = 0.5(x +1)^2 -8

We know the square of a binomial is (a+b)^2 = a^2 +2ab +b^2, so we have ...

  y = 0.5(x^2 +2x +1) -8

  y = 0.5x^2 +x +0.5 -8 . . . . . eliminate parentheses

  y = 0.5x^2 +x -7.5

Answer:

[tex]\frac{1}{11}[/tex]

Step-by-step explanation:

[tex]\frac{3}{12}\cdot \frac{4}{11}[/tex][tex]=\frac{1}{11}[/tex]

Hope this helped! :)

The answer will be 100.48

If we take π = 3.14.

Answer:

x = 40

Step-by-step explanation:

x + 10 = 2x - 30

    40 = x

40 + 10 = 2(40) - 30

      50 = 50

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

Answer:

It is correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

using pythagoras theorem

h^2=p^2+b^2

h^2=3^2+3^2

h^2=9+9

h^2=18

h=[tex]\sqrt{18}[/tex]

h=3[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

Area of sides:

Area of the bottom:

Total area:

Paint needed:

Answer:

[tex]180 - 35 - 72 = 73[/tex]

Answer:

SA ≈ 434.5 cm²

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

The surface area (SA) is calculated as

SA = 4πr²

To find r use the volume formula

[tex]\frac{4}{3}[/tex]πr³ = 850 ( multiply both sides by [tex]\frac{3}{4}[/tex] to clear the fraction )

πr³ = 637.5 ( divide both sides by π )

r³ = [tex]\frac{637.5}{\pi }[/tex] ( take the cube root of both sides )

r = [tex]\sqrt[3]{\frac{637.5}{\pi } }[/tex] ≈ 5.88 cm ( to 2 dec. places )

Then

SA = 4π × 5.88² ≈ 434.5 cm² ( to 1 dec. place )

Answer:

105 dollars after a year

Step-by-step explanation:

I = (100)(0.05)(1)

I = 5

Answer:

5×72

ggggggggggggggggggg

Answer:

5 x 72

Step-by-step explanation:

Answer:3.38

Step-by-step explanation:

Count, N: 5

Sum, Σx: 18

Mean, μ: 3.6

Variance, σ2:  11.44

Steps

(10 - 3.6)2 + ... + (2 - 3.6)2

5

=  

57.2

5

=  11.44

σ =  √11.44

=  3.38

Answer:

A. They are both Solutions

Step-by-step explanation:

Answer:

Both are solutions

Step-by-step explanation:

5x8 is less than 52, and so is 5x10

Answer:

3x+5y+22

Step-by-step explanation:

Answer:

3x + 5y + 22

Step-by-step explanation:

Given expression:- x + 3y + 2x + 10 + 2y + 12

Here, you can add all the 'x' terms together and 'y' terms together.

There is an 'x' and '2x'.

On adding them, you get 2x + x equals 3x.

Then add the 'y' terms

There is a '3y' and a '2y'. On adding them, you get 3y + 2y equals 5y.

Then add the numbers that are left. 12 and 10.

12 + 10 equals 22.

Then take all the values we got after addition:- 3x, 5y and 22.

2x, 5y and 22 cannot be added together. So, the expression in the simplified form would be:-

Answer:

caste system, they were commonly used to show the groups of people in their social hierarchies

Answer:

approximately 1/4 mile

Andrew runs around a circular track each morning. The diameter of the track is approximately 1/4 mil

Answer: 1/4

Step-by-step explanation:

Answer:

The cost per widget will never be greater than $25

Answer:

147°

Step-by-step explanation:

180 - 33 = 147

Answer:

147

Step-by-step explanation:

x is on a straight line so the whole line equals 180

180-33= 147

I think that's correct

Answer:

A), D), E), F).

Step-by-step explanation:

Answer:

(First of all its 20 points not 40 but any ways) A ferris wheel has a raidus of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the ferris wheel is 2 m above ground. It rotates every 36 seconds. Determine height above the ground after 15 seconds algebraically. Determine seconds to the nearest tenth when height is 38 m above the ground algebraically.

**

let t=seconds after wheel starts to rotate.

let h=meters above ground after wheel starts to rotate

..

The formula I got: h(t)=20sin(πt/18)+22

This is close to the formula you got, except I left the negative sign out since passengers start to rise after the wheel starts going counter-clockwise.

..

After 15 seconds:

h=20sin(15π/18)+22

=20sin(5π/6)+22

=20*(1/2)+22

=32 m

..

When h=38 m

38=20sin(πt/18)+22

38-22=20sin(πt/18)

20sin(πt/18)=16

sin(πt/18)=16/20=4/5=.8

arcsin(.8)=0.927

πt/18=0.927 (radians)

t=(.927*18)/π≈5.31

..

height above the ground after 15 seconds≈38 m

seconds elapsed when height is 38 m above ground≈5.3 seconds

Answer:

red

Step-by-step explanation: convert all of the fractions to have same denominator which would be 20 and see which is the smallest

Answer:

a) red

Step-by-step explanation:

make all denominators the same.

red= 3/20

yellow= 8/20

green= 5/20

purple= 4/20

Answer:

Step-by-step explanation:

Answer:

3.70 < 3.702 < 3 10/11 < 79/20

Step-by-step explanation:

Answer:

[tex] \frac{2}{9} = \frac{9}{2} [/tex]

[tex] \frac{ - 7}{6} = \frac{ 6}{ - 7} [/tex]

[tex] \frac{8}{3} = \frac{3}{8} [/tex]

Answer:

the answer is B

Step-by-step explanation:

-4 * box

and you know that is meant to be 8 so you have to ask what would x 4 and give you -8 so you do -8/-4 to give you 2 so that means you know that that is -4 * 2 which would give you - 8 then that will replace all the other missing box.

Answer:

10

Step-by-step explanation:

d² = (x2  - x1)² + (y2 - y1)²

d² = (-2 - 4)² + (-4 - 4)²

d² = (-6)² + (-8)²

d² = 36 + 64

d² = 100

d = 10

Answer:

106.25

Step-by-step explanation:

125x.15 (15% discount)=18.75 discount

125-18.75=106.25