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3 years ago

Variable y varies directly with variable x, and y = 45 when x = 9.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Direct variation means their ratio is a constant
x/y is 9/45=1/5
so when x=2, y=5*2=10

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Miguel did the following math problem: 65 ∙ 64 = 369. Which of the following is a true statement? 1.He is correct. 2.He is incor

Verizon [17]

Answer:

He is incorrect.

Step-by-step explanation:

The correct answer is 4,160.

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3 years ago

Read 2 more answers

In ΔUVW, w = 44 cm, u = 83 cm and ∠V=141°. Find the area of ΔUVW, to the nearest square centimeter.

Tema [17]

Answer:

$Area \approx 1149\ cm^2$

Step-by-step explanation:

<u>Given that:</u>

ΔUVW,

Side w = 44 cm, (It is the side opposite to $\angle W$ )

Side u = 83 cm (It is the side opposite to $\angle U$ )

and ∠V=141°

Please refer to the attached image with labeling of the triangle with the dimensions given.

Area of a triangle with two sides given and angle between the two sides can be formulated as:

$A = \dfrac{1}{2}\times a\times b\times sinC$

Where a and b are the two sides and

$\angle C$ is the angle between the sides a and b

Here we have a = w = 44cm

b = u = 44cm

and ∠C= ∠V=141

Putting the values to find the area:

$A = \dfrac{1}{2}\times 44\times 83\times sin141\\\Rightarrow A = \dfrac{1}{2} \times 3652 \times sin141\\\Rightarrow A =1826 \times 0.629\\\Rightarrow A \approx 1149\ cm^2$

So, the <em>area </em>of given triangle to the nearest square centimetre is:

$Area \approx 1149\ cm^2$

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4 years ago

A carpet layer is given a roll of carpet which has already been cut for a 12-ft. wall. The wall measures 1.5 in. on a drawing. T

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Step-by-step explanation:

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3 years ago

8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?

Maslowich

Answer:

19.75. The apples cost 19.75 before the tax.

Step-by-step explanation:

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3 years ago

There are 7 people in a room. Each person shakes hands once. How many handshakes will there be?

DiKsa [7]

7 people so first one shakes hand with the remaining people. that is 6

The 2nd person also shakes hand with 6 persons but we have already counted his handshake with first person. so we have to add 6-1 = 5 shakes for 2nd person

like wise 3rd person shakes hand with the remaining 6-2 = 4 people

4th person with 6-3=3 people

5th person with 6-4= 2 persons

6th person with 6-5=1 person

and 7th one with no one because already he has shaken his hand with everyone.

since these people shake their hands with others only once we just have to add the obtained values

6+5 +4+3+2+1= 21

totally 21 handshakes will be there in that room

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3 years ago