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3 years ago

Write an equation to solve this problem: Twenty-four is 25 percent of what number? Find the answer .

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

24 times 100 then divide that by 25

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The altitude of an equilateral triangle is 5 cm. what is the length of a side of the triangle?

Grace [21]

Answer:

The length side of the triangle is $\frac{10\sqrt{3}}{3}\ cm$

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles of measure of 60 degrees each.

Let

b------> the length side of the equilateral triangle

Applying Pythagoras theorem

$b^{2}=(b/2)^{2}+5^{2}\\\\ b^{2}-(b/2)^{2}=25\\\\ (3/4)b^{2}=25\\ \\b^{2} =25*4/3\\ \\b=\frac{10}{\sqrt{3}}\ cm\\ \\b=\frac{10\sqrt{3}}{3}\ cm$

3 0

3 years ago

✔ ou

fgiga [73]

Answer:

The answer is 20 hamburgers and 25 hot dogs.

20(.5)+25(.25)<16.5

10+6.25<16.5

16.25<16.5

The budget is $16.50 and $16.25 is $.50 less therefore making it a possible option for Enrique.

8 0

3 years ago

What fractional part of the day do you spend sleeping if you sleep 8 hours?

fomenos

You sleep 1/3 of the day.

5 0

2 years ago

How many times greater is the volume of the sphere than the volume of cone #1? Round your answer to the neared tenth. Use 3.14 f

Aliun [14]

butter bts

the only explanation for this world

cuz i've got that superstar glow so eohohohwoow

7 0

3 years ago

Find the equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5).

neonofarm [45]

The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is $y = \frac{-1}{3}x - 8$

Solution:

Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line $\times$ slope of line perpendicular to given line = -1

$3 \times \text{ slope of line perpendicular to given line }= -1$

$\text{ slope of line perpendicular to given line } = \frac{-1}{3}$

Let us now find the equation of line with slope $m = \frac{-1}{3}$ and containing the point (-9, -5)

Substitute $m = \frac{-1}{3}$ and (x, y) = (-9, -5) in eqn 1

$-5 = \frac{-1}{3}(-9) + c\\\\-5 = 3 + c\\\\c = -8$

Thus the required equation of line is:

Substitute $m = \frac{-1}{3}$ and c = -8 in eqn 1

$y = \frac{-1}{3}x - 8$

Thus the required equation of line perpendicular to given line is found

6 0

3 years ago