All categories

3 years ago

Can someone help me with this please

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

8 0

<h2>Answer:</h2>

<u> Angle C is 7 * 18 - 4 = 122 </u>

<u> Angle B is 18 + 4 = 22 </u>

<u> Angle D is 2 * 18 = 36</u>

<h2>Step-by-step explanation:</h2>

As we know that the sum of all angles of a triangle is 180

So adding all the angles we get

2x + x+4 + 7x-4 = 180

10x = 180

x = 18

In order to find each angle, put x = 18.

Angle C is 7 * 18 - 4 = 122

Angle B is 18 + 4 = 22

Angle D is 2 * 18 = 36

Sever21 [200]3 years ago

4 0

Answer:

B = 22

C = 122

D = 36

Step-by-step explanation:

The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.

2x + x + 4 + 7x - 4 = 180

10x = 180

x = 18

To find each angle, substitute x = 18.

Angle B is 18 + 4 = 22

Angle C is 7(18) - 4 = 122

Angle D is 2(18) = 36

You might be interested in

Tammy borrowed $5000 at a rate of 12% compounded monthly. Assuming she makes no payments, how much will she owe after 9 years?

Dominik [7]

Answer:

$14,644.63

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

$A=P(1+\frac{r}{n} )^{nt}$

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em />

First change 12% into a decimal:

12% -> $\frac{12}{100}$ -> 0.12

Lets plug in the values:

$A=5,000(1+\frac{0.12}{12})^{9(12)}$

$A=14,644.63$

Tammy will own $14,644.63 after 8 years,

5 0

3 years ago

How does the graph of y=|x|+ 4 compare to the graph of the parent function y=|x|?

neonofarm [45]

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4 translated '4' units up.

Please check the attached graph.

3 0

3 years ago

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long

Pie

Answer:

Surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

$S = \frac{1}{2}pl+B$ ...... (1)

Here, p represents the perimeter of the base , $l$ the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid( $l$ ) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = $3 \times (side)$

= $3 \times 20 = 60 inches$

Area of equilateral triangle(B) = $\frac{\sqrt{3} }{4} \times (side)^{2}$

= $\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}$ square inches.

Substitute the above values in equation (1) as shown below:

$S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}$

$S= 390+100\sqrt{3}$ square inches

Hence, the surface area of pyramid with base equilateral triangle is $390+100\sqrt{3}$ square inches.

6 0

3 years ago

How to solve problem in the document

jeyben [28]

I’ve attached a photo, with the instructions. Hope it helps. If you have any questions don’t hesitate to ask

5 0

2 years ago

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 miles per hour for t hours and at an average rate of

IceJOKER [234]

Answer:

Brady rides at slower speed which is 17 miles/hours for <em><u>3 hours and 36 minutes.</u></em>

Step-by-step explanation:

Given:

Brady rode 70 miles in 4 hours.

For $t$ hours he rode at the average rate of 17 miles/hour

For rest of the time he rode at the average rate of 22 miles per hour.

To find the time Braady rode at the slower speed.

Solution:

Total time of riding = 4 hours

Time for which Brady rides at 17 miles/ hour = $t$ hours

Distance covered in $t$ hours = $Speed\times time=17\times t =17t\ miles$

So, time for which Brady rides at 22 miles/ hour = $(4-t)$ hours

Distance covered in $(4-t)$ hours = $Speed\times time=22\times(4-t) =(88-22t)\ miles$

Total distance can be given as:

⇒ $17t+88-22t$

Simplifying.

⇒ $-5t+88$

Total distance given =70 miles.

Thus, the equation to find $t$ can be given as:

$-5t+88=70$

Subtracting both sides by 88.

$-5t+88-88=70-88$

$-5t=-18$

Dividing both sides by -5.

$\frac{-5t}{-5}=\frac{-18}{-5}$

∴ $t=3.6$ hours

$3.6\ hours = 3\ hour+ (0.6\times 60)\ minutes = 3\ hour\ 36\ minutes$

Thus, Brady rides at slower speed which is 17 miles/hours for 3 hours and 36 minutes.

6 0

3 years ago