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AleksandrR [38]

3 years ago

10

Picture or photo frames are prepared in a workshop. How many rectangular frames measuring 15.4 cm by 3.7 dm can be produced from

a metal strip 8,384 m long? Instruction: Convert all units to cm and then perform the operations.

1 answer:

mel-nik [20]3 years ago

7 0

Answer:

yepp that the answer will be correct just try ittt

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write the equation of the line that is parallel to the line y = 2x 2 and passes through the point (5, 3). a. y = 2x - 7 b. y=-1/

Jlenok [28]

Parallel lines has equal slopes. Line y = 2x + 2 has a slope of 2, hence required slope is 2
Required equation is y - y1 = 2(x - x1)
y - 3 = 2(x - 5)
y - 3 = 2x - 10
y = 2x - 10 + 3
y = 2x - 7

5 0

2 years ago

A sampling frame a. is a list of population elements from which the sample will be drawn. b. is the list of population elements

olga2289 [7]

Answer:

<h2> A. is a list of population elements from which the sample will be drawn</h2>

Step-by-step explanation:

Sampling frame is the list of people or items from which a sample is taken.

Sampling is used because it is almost impossible to study entire population. Sampling allows us to find information about a population on the basis of results from a subset of the population, without studying every individual. It is easier and cost effective process.

6 0

2 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

1)Circle 1 is centered at (−4, 5)(−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1)(2, 1) and has a radiu

galina1969 [7]

Figures of same shape and size are similar .Two circles C1&C2 will be similar.

Circle 1 has a center of (-4,5) and circle 2 has a center of (2,1) .The x of the center is having the translation x+6 and the y is having a translation of y-4.The center of the circle is dilated by 3 units.

The circles are similar because you can translate Circle 1 using the transformation rule (x+6,y-4 ) and then dilate it using a scale factor of 3.

2) Area of sector = $\pi.r^{2}\alpha$ ÷360.

Where α is the angle made at center.

Area of given sector= π(12)(12)(60)÷360 =24π.

8 0

3 years ago

Solve the equation -9x+1=-x+17

Step2247 [10]

Answer:

x=-2

Step-by-step explanation:

-9x+1=-x+17

Add 9x on both sides:

1=8x+17

Subtract 17 on both sides:

-16=8x

Divide both sides by 8:

-2=x

Check x=-2!

-9x+1=-x+17 with x=-2

-9(-2)+1=-(-2)+17

18+1=2+17

19=19

19=19 is a true equation so x=-2 is correct.

5 0

2 years ago

Read 2 more answers