All categories

3 years ago

Please help me I don’t understand this

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer :

67.5 degrees

Let the measure of two equal angles of the triangles is x.

Thus, the angles of the triangles are x, x and 45 degrees.

The sum of the measures of the angles of all triangles is 180 degrees.

Hence, the equation is

x + x + 45 = 180

Solve the equation for x

2x + 45 = 180

2x = 180 - 45

2x = 135

x = 67.5

Therefore, measure of other two angles are 67.5 degrees.

You might be interested in

Calculate volume of hemisphere with radius 3.2 cm

Olin [163]

Answer:

V ≈ 68.63 cm³

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = $\frac{4}{3}$ πr³

the volume of a hemisphere is half the volume of a sphere, so

V = $\frac{1}{2}$ × $\frac{4}{3}$ πr³ = $\frac{2}{3}$ πr³ , then

V = $\frac{2}{3}$ π × 3.2³

= $\frac{2}{3}$ π × 32.768

≈ 68.63 cm³ ( to 2 dec. places )

5 0

2 years ago

The graphs of f(x) and g(x) are shown below: graph of function f of x open upward and has its vertex at negative 7, 0. Graph of

dexar [7]

The equation of the function is g(x)=(x+7)² -2 , Option D is the correct answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that defines relation between two variables.

The f(x) = (x+7)²

The equation for g(x) is ?

graph of function f of x open upward and has its vertex at (-7,0).

Graph of function g of x opens upward and has its vertex at (-7,2).

g(x) is formed by the translation of the function f(x) such that it's vertex is (-7,-2)

Therefore the equation of the function is

g(x)=(x+7)² -2

Therefore , the translation is a shift of the function f(x) 2 units down

Option D is the correct answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0

2 years ago

A local chicken farmer is constructing a set of eight pens to cage his chickens as shown in the diagram below. He has decided to

Vilka [71]

Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²

Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.

A'(x)=3000-18X

Set derivative equal to 0

0=3000-18X
166.6666666=X

Now test the intervals

(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -

Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5

Answer:
X= 166.6666666666
Y=5

Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.

6 0

3 years ago

James earned a total of $900 last week.This total was $10 less than five times the amount he earned last week. How much money di

Hoochie [10]

Hello!

Let's change it to an equation.

$5x - 10 = 900$

Switch the equation around

$900 = 5x - 10$

First add 10 from 900

$900 + 10 = 910$

$5x = 910$

Divide both sides by 5

$\frac{5x}{5} = \frac{910}{5}$

$\framebox{x = 182}$

4 0

3 years ago

Please can u help me with this<br><br> Thank u:)

bogdanovich [222]

H=-16t² +v(0)t+h(0)
v(0)=192
h=-16t² +192t+h(0)
h(0) should be 0, because the mortar sits on the ground.
h= - 16t²+192t
This function will have maximum because it has minus before x², and parabola is looking down.

h=-(16t²-192t)=-(16t² -2*4t*24+24²)+24²
h=-(4t-24)²+24²
h=-(4t-24)²+576
vertex (24 feet, 576 feet)
24 feet horizontally from the mortar and 576 feet up

6 0

3 years ago