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3 years ago

What is the equivalent ratio of 1:2 = __:4

Mathematics

2 answers:

mash [69]3 years ago

6 0

answer would be 2:4 hope it helps :)

Tresset [83]3 years ago

6 0

Answer:

2:4

Step-by-step explanation:

Notice how the 2 has now become a 4

that implies that the ratio has been doubled, to make the ratio remain the same we have to double the 1, double of 1 is 2 so the new ratio is 2:4

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At a school the number of boy to girls is 11:9 there are 124 more boys than girls work out the total number of students at the s

12345 [234]

Answer:

1240

Step-by-step explanation:

the explanation is very long but I hope this is correct!

5 0

3 years ago

An architect drew the blueprint for a new office building. He used a scale in which 1 inch represents 7.5 feet. The floor of an

VMariaS [17]

We know that
scale factor=1 in/7.5 ft
scale factor=measurements on the blueprint/measurements <span> in the actual
</span>measurements on the blueprint=[measurements in the actual*scale factor]
so

for 18 ft
measurements on the blueprint=[18 ft*(1 in/7.5 ft)-----> 2.4 in

for 16 ft
measurements on the blueprint=[16 ft*(1 in/7.5 ft)-----> 2.1 in

the dimensions on the blueprint are
2.4 in x 2.1 in

7 0

3 years ago

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

3 years ago

Y = 6x - 4<br> y = -x + 3

likoan [24]

Answer:

(1, 2)

Step-by-step explanation:

Subtract the second equation from the first:

(y) -(y) = (6x -4) -(-x +3)

0 = 7x -7 . . . . . simplify

0 = x - 1 . . . . . . divide by 7

1 = x . . . . . . . . . add 1

y = -1 +3 = 2 . . . substitute into the second equation

The solution is (x, y) = (1, 2).

4 0

3 years ago

Samuel used 1/5 of an ounce of butter to make 1/15 of a pound of jelly. How many ounces of butter are needed to make a pound of

Zanzabum

1/5 x 15= 3 ounces of butter needed

8 0

3 years ago