All categories

2 years ago

Please be quick!

Mathematics

1 answer:

diamong [38]2 years ago

4 0

Answer:

The value of x is 6

Step-by-step explanation:

Here, we want to calculate the length of the mid-segment

Mathematically;

if we add the length of the two parallel bases and divide by 2, we get the length of the mid-segment

Thus;

(x + 8 + 5x + 4)/2 = 24

6x + 12 = 2(24)

6x + 12 = 48

6x = 48-12

6x = 36

x = 36/6

x = 6

You might be interested in

A time in history was called the Stone Age, Why was it called this?

mestny [16]

Answer:

HEY!

<h2>A time in history was called stone age because they were uneducated and they use to hunt animals with stones and so on.... And they even used to eat animals without frying...So, the people of stone age were totally uneducated but they were so creative more than us..</h2>

<h3>Hope it helps you!</h3><h3>Wish you luck......</h3>

8 0

3 years ago

Solve the inequality -4>-4 + h. A. h<0 B. h>0 C. h<3 D. h>-8

artcher [175]

Answer:

A. H<0

Step-by-step explanation:

Add by 4 from both sides of equation.

-4+4>-4+h+4

Simplify.

0>h

Then, switch sides to find the answer.

h<0

h<0 is the correct answer.

6 0

3 years ago

A soccer ball is kicked from 3 feet above the ground. the height,h, in feet of the ball after t seconds is given by the function

dexar [7]

Here's our equation.

$h=-16t+64t+3$

We want to find out when it returns to ground level (h = 0)

To find this out, we can plug in 0 and solve for t.

$0 = -16t+64t+3 \\ 16t-64t-3=0 \\ use\ the\ quadratic\ formula\ \frac{-b\±\sqrt{b^2-4ac}}{2a} \\ \frac{-(-64)\±\sqrt{(-64)^2-4(16)(-3)}}{2*16} = \frac{64\±\sqrt{4096+192}}{32}$

$= \frac{64\±\sqrt{4288}}{32} = \frac{64\±8\sqrt{67}}{32} = \frac{8\±\sqrt{67}}{4} = \boxed{\frac{8+\sqrt{67}}{4}\ or\ 2-\frac{\sqrt{67}}{4}}$

So the ball will return to the ground at the positive value of $\boxed{\frac{8+\sqrt{67}}{4}}$ seconds.

What about the vertex? Simple! Since all parabolas are symmetrical, we can just take the average between our two answers from above to find t at the vertex and then plug it in to find h!

$\frac{1}2(\frac{8+\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(2+\frac{\sqrt{67}}{4}+2-\frac{\sqrt{67}}{4}) = \frac{1}2(4) = 2$

$h=-16t^2+64t+3 \\ h=-16(2)^2+64(2)+3 \\ \boxed{h=67}$

8 0

3 years ago

Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di

Mice21 [21]

Answer:

The first option (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

$c^{2} = a^{2} + b^{2}$

$9^{2} = 7^{2} + d^{2}$

$d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\$

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0

2 years ago

Read 2 more answers

Which of the following is a monomial?

Dmitrij [34]

"mono" means 1 or single. In algebra, a monomial is any number that is alone or by itself. For this question, among the choices, the monomial is the number 4. Therefore the answer to this question is letter B. 4.

5 0

3 years ago