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mojhsa [17]
3 years ago
10

Kelly reduced the size of a portrait to have a width of 10 inches. if she used a scale of 1 inch :2 inches, what was the width o

f the original portrait? ​
Mathematics
1 answer:
NARA [144]3 years ago
6 0

So basically you use the ratio they have given you. You either multiply by 2 if image is enlarged or divide by 2 if it is reduced. (Keep in mind I got the 2 from your ratio : 1inch : 2inches) Therefore the find the original width, you multiply 10 by 2, giving you 20 inches.

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A circle has its center at the center of a square with 26-inch sides. Using 3.14 for pi, find the area of the square not covered
AlladinOne [14]
For squrae
area=side²
perimiter=4(side)

for circle
area=pir²
circumference=2pir

side=diameter, diameter/2=radius=side/2


find area not covered
that is areasquare-areacircle
areasquare=26²=676 sqauare inches
areaciecle, diameter=side, 26/2=13, area=pi13²=169*3.14=530.66 square inches

areanotcovered=676-530.66=145.34 square inches not coverd


ratio of perimiter to circumferece
perimiter=4*26=104
circumference=2pir=2pi13=26pi=26*3.14=81.64
circumference to perimiter is 81.64/104=0.785

7 0
2 years ago
Read 2 more answers
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it
ollegr [7]

Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = \frac{0.278}{2} =0.139

Surface area of reamed hole = \pi r^2

Surface area of reamed hole = 3.14 \times  (0.139)^2

Surface area of reamed hole = 0.06066794

Diameter of pin = \frac{9}{32}

Radius of pin =\frac{9}{64}

Surface area of pin = \pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620

Since the surface area of pin is more than the surface area of hole .

So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

7 0
3 years ago
Write an inequality comparing the rational numbers -3/4 and -2.
lyudmila [28]

Answer:

Step-by-step explanation:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

7 0
3 years ago
Find the value of x. <br><br> A. 60<br><br> B. 50 <br><br> C. 40 <br><br> D. 30
garri49 [273]

We can see that two sides of that triangle area equal

so, their corresponding angle will also be equal

now, we know that

sum of all angles in any triangle is always 180

so, we can get equation as

x+100+x=180

now, we can solve for x

2x+100=180

2x=80

x=40

so, option-C..............Answer

8 0
3 years ago
Read 2 more answers
H(x) = x^2 + 1 k(x) = x – 2<br> (h + k)(2)=?
likoan [24]
First we will compute the h+k and then multiply the result by 2.
To add polynomials, we add terms whose variables are alike, for example:
we add the coefficients of x^2 together, the coefficients of x together and so on.

Therefore:
h + k = x^2 + 1 + x - 2 = x^2+x-1

Now, we will multiply this answer by 2 to get the final answer:
2(h+k) = 2(x^2+x-1) = 2x^2 + 2x -2
6 0
3 years ago
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