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3 years ago

3/8 is 4 & 3/5 % of what number? (Round to the nearest hundredth.)

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

n = 8.15

Step-by-step explanation:

3/8 is 4 & 3/5 % of what number?

Rewrite this as: 3/8 is (4 3/5)% of what number?

Convert 4 3/5% into a decimal: 0.046

Then write out and solve the equation 3/8 = 0.046n, where n is the unknown number.

Dividing both sides by 0.046, we get n = 8.15

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Does Meteo’s data show a positive association or a negative associate? Explain how you know

marishachu [46]

It shows a positive correlation

Just go from the very left of the graph to the very right and see, if the points go up or down.

Or pick off some points to see the trend

(2,1) (3,2) and (5,4)

These points show that over time the number of typos go up with the number of pages printed.

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3 years ago

The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment

iVinArrow [24]

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75 Eqn 1

And

one the segments are four times the other

x=4y Eqn 2

$Putting\ x=4y\ in\ equation\ 1$

$4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60$

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

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#LearnwithBrainly

8 0

3 years ago

What is the length of the shortest altitude in a triangle, if the lengths of the sides are 24 cm, 25 cm, 7 cm?

AfilCa [17]

Answer:

The shortest altitude is 6.72 cm

Step-by-step explanation:

Given that the side lengths are

24 cm, 25 cm, 7 cm

The area of a triangle =

$A = \sqrt{s \cdot (s-a)\cdot (s-b)\cdot (s-c)}$

Where;

s = Half the perimeter = (24 + 25 + 7)/2 = 28

A = √((28×(28 - 24)×(28 - 25)×(28 - 7)) = 84 cm²

We note that 84/7 = 12

Therefore, the triangle is a right triangle with hypotenuse = 25, and legs, 24 and 7, the height of the triangle = 7

To find the shortest altitude, we utilize the formula for the area of the triangle A = 1/2 base × Altitude

Altitude = A/(1/2 ×base)

Therefore, the altitude is inversely proportional to the base, and to reduce the altitude, we increase the base as follows;

We set the base to 25 cm to get;

Area of the triangle A = 1/2 × base × Altitude

84 = 1/2 × 25 × Altitude

Altitude = 84/(1/2 × 25) = 6.72 cm

The shortest altitude = 6.72 cm.

4 0

3 years ago

the proper angle for a ladder is about 75 degrees. from the ground. suppose you have a 9 foot ladder. how far from the house sho

icang [17]

ANSWER:

2.33 foot

STEP-BY-STEP EXPLANATION:

We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

$\begin{gathered} \cos \theta=\frac{\text{ adjacent}}{\text{ hypotenuse}} \\ \theta=75\text{\degree} \\ \text{ hypotenuse = 9 foot} \\ \text{adjacent = x} \end{gathered}$

Replacing and solving for x:

$\begin{gathered} \cos 75=\frac{x}{9} \\ x=9\cdot\cos 75 \\ x=2.33 \end{gathered}$

The distance would be 2.33 foot

3 0

1 year ago

What is the equation of a line with slope of 3 and going through the point (2, 4)

dsp73

The correct answer is a.y=3x-4

8 0

3 years ago