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3 years ago

Help!! (I am Stuck )

Mathematics

1 answer:

Ksju [112]3 years ago

7 0

Answer:

y=5

Step-by-step explanation:

the line going up and down is the y and the line going left to right is the x so u would go up to until u find the number that fits and it would be y=5

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1.What is the length of the altitude of an equilateral triangle with side lengths of 34 inches?

sweet [91]

Answer:

Step-by-step explanation:

Remark

<u>Question One</u>

It's equilateral. All three sides are equal. The base is 34 as well. So two right angles can be formed on the base by dropping the altitude from the top vertex.

Givens

altitude = h

a = 34/2 = 17

hypotenuse = 34

Formula

a^2 + h^2 = c^2

Solution

17^2 + h^2 = 34^2

289 + h^2 = 1156

h^2 +289 =1156

h^2 = 1156 - 289

h^2 = 867

sqrt(h^2) = sqrt(867)

h = 29.444

==============

<u>Question Two</u>

Givens

b = 10 feet

c = ?

height = h = 16

Formula

c^2 = b^2 + h^2

Solution

c^2 = 10^2 + 16^2

c^2 = 100 + 256

c^2 = 356

sqrt(c^2) = sqrt(356)

c = 18.87

7 0

3 years ago

. Simplify: (-4a+ b–2c) –(3a+ 2b–c)

Naily [24]

Answer:

(-4a + b – 2c) – (3a + 2b –c)

-4a+b-2c-3a-2b+c

-7a-b-c

Step-by-step explanation:

4 0

3 years ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

Jesse's starting salary is $30,000 a year. He gets a 3% raise after his first year. Then he gets a 10% bonus on his second-year

Julli [10]

Answer:

$3090

Step-by-step explanation:

First take $30,000 * 0.03 (3%) to get $30, to get $900. Then add 30,000 +900 to get first year salary. Next take 30,900 (Jesse's salary after the first year) times 0.1 (10%) to get 3090 which is his bonus for the second year.

8 0

3 years ago

boards 4 U charges $10 per hour to rent a snowboard while slopes charges 12 per hour. will the cost to rent snow board at each p

Katena32 [7]

Never. If you rent one hour the difference will be $12 - $10 =$2, if your rent for 2 hours, the difference will be $24 - $20 = $4, and so the difference will grow as the number of hours increase.

3 0

4 years ago