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4 years ago

I’m confused on this one

Mathematics

1 answer:

Yakvenalex [24]4 years ago

4 0

It would be 10 inches. The length of WZ would usually be stated as the diameter in these cases. As you can see in the picture, 5 inches is our radius and the diameter equals the radius times two (2r or the radius doubled) to give the diameter. 5 x 2 = 10, and 10 would be the answer.

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The area of a rectangular painting is 5096 cm2. If the width of the painting is 56 centimeters, what is its length?

Debora [2.8K]

Answer:

I believe it is 91 centimetres.

Step-by-step explanation:

5096/56=91.

5 0

3 years ago

A family is purchasing a house and needs to finance a $195,000 mortgage from the bank with an annual percentage rate (APR) of 5.

Alecsey [184]

Monthly payment is $1082.84.

Solution:

Given data:

Principal = $195000

Rate per year = $5.3\% =\frac{5.3}{100}=0.053$

Rate per month = $\frac{0.053}{12} =0.004416$

Time = 30 × 12 = 360 month

<u>To find the monthly payment using formula:</u>

$$\text{Monthly payment}=P\times\frac{r(1+r)^n}{(1+r)^n-1}$

$$=195000\times\frac{0.004416(1+0.004416)^{360}}{(1+0.004416)^{360}-1}$

$$=195000\times\frac{0.004416(1.004416)^{360}}{(1.004416)^{360}-1}$

If you simplify this using calculator, we get

$=1082.84$

Monthly payment = $1082.84

Option C is the correct answer.

Hence monthly payment is $1082.84.

5 0

3 years ago

I need the answer to this equation x=2y 7

loris [4]

What is the value of y

7 0

3 years ago

Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student ticket

Anna71 [15]

Answer:

$47

Step-by-step explanation:

$9 x 3 adults is 27

$5 x 4 students is 20

When added it is $47

4 0

3 years ago

Read 2 more answers

Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel

nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

$\theta=\frac{\pi}{3}$

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be= $r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j$

By using $cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Force along the plane will be= $\mid F_x\mid=F\cdot r$

Force along the plane will be = $\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3$ N

By using $i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0$

Therefore, force along the plane= $\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)$

2.The vector perpendicular to the plane= $r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j$

The force perpendicular to the plane= $\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

The force perpendicular to the plane= $4$ N

Therefore, $F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)$

Sum of two component of force= $2\sqrt 3i-6j-2\sqrt3 i-2j=-8j$

Hence,sum of two component of forces=Total force.

6 0

3 years ago