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3 years ago

The triangle shown below has an area of 10 units. Find x.

Mathematics

1 answer:

Nady [450]3 years ago

3 0

Answer:

The value of x (which is also the height of this triangle) is x = 5 units.

Step-by-step explanation:

The formula for the area of a triangle of base b and height h is

A = (1/2)(b)(h).

Here A = 10 units² = (1/2)(4 units)(x).

Multiplying both sides by 2 yields 20 units² = (4units)(x), and thus

20 units²

x = ------------------ = 5 units

4 units

The value of x (which is also the height of this triangle) is x = 5 units.

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2. A sprinter is running at the end of a race and begins to tire. Her velocity is 8.55 m/s and is decelerating at -0.15m/s for t

GrogVix [38]

Step-by-step explanation:

using the formula :

2.d.s = V²-Vo²

2(-0.15) (60) = V² - (8.55)²

-18 = V² - 73.1

V² = 73.1 - 18

V² = 55.1

=> V = √55.1 = 7.4

so, the velocity when she ends the race =

7.4 m/s

3 0

2 years ago

The formula to find a certain number in an arithmetic sequence is an=a1+d(n−1)an=a1+d(n−1) .

cluponka [151]

The formula of arithmetic sequence is
an = a₁ + d(n - 1)

Then we need to find the formula to determine n. I reverse the equation so the 'n' will be on the left side.
a₁ + d(n - 1) = an

Then I move all the terms on the left one by one to the right side except n
a₁ + d(n - 1) = an
d(n - 1) = an - a₁
n - 1 = (an - a₁)/d
n = 1 + (an - a₁)/d

This is the formula to solve n
n = 1 + (an - a₁)/d

4 0

3 years ago

Read 2 more answers

Work out the circumference of this circle.

worty [1.4K]

<h3>given:</h3>

diameter= 13 cm

the circumference of the given circle.

<h3>solution:</h3>

$c = \pi \: d$

$c = 3.142 \times \: d$

$c = 3.142 \times 13$

$c = 40.846 \: cm$

hence, the circumference of the given circle is 40.846 cm

6 0

2 years ago

A giraffe can run 32 miles per hour. what is this speed in feet per second

kodGreya [7K]

We have,
1 mile = 5280 feet
32 miles = 5280 * 32
= 168960 feet

1 hour = (60 * 60) = 3600 seconds

Now,
Converting 32 miles per hour to feet per second.

$\frac{32~miles}{1~hour}$

$= \frac{168960 ~feet}{3600~ seconds}$ because 32 miles is 168960 feet and 1 hour is 3600 seconds
$= \frac{46.93~feet}{1~second}$

So, the answer is 46.93 feet per second

5 0

3 years ago

At a Saturday nights football game 18 less fans at a Friday’s night game there were X fans at Friday’s game.write an expression

gladu [14]

X - 18

Since there were x number of poeple at Friday's game and there were 18 less fans at Saturday's game, you subtract 18 from the number of people during Friday's game which is x. The word "less" indicates subtraction.

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3 years ago