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likoan [24]
3 years ago
15

Kate's garden measures 15 yards by 12 yards. In order to make a path around it she will need to reduce the size of her garden. T

he dimensions of the smaller garden will be related by a scale factor of 0.7. What is the area of the path around the garden in square yards?
Mathematics
1 answer:
joja [24]3 years ago
4 0
It should be 91.8 yards. Whenever you lower the dimensions, you'd multiply each factor by 0.7 to get a scale factor of them. After doing so, you'd get the dimensions of 10.5 and 8.4. After finding the area of the whole garden area, it'd be 180 yards. Then using the factored area which is 88.2, you'd subtract 88.2 from 180, leaving you with 91.8, being the area of the path.
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The measure of angle A is 15°, and the length of side
dangina [55]

Answer:

Part 1) AB=30.9\ units

Part 2) AC=29.9\ units

Step-by-step explanation:

The picture of the question in the attached figure

Part 1

Find the length side AB

we know that

sin(A)=\frac{BC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(15^o)=\frac{8}{AB}

solve for AB

AB=\frac{8}{sin(15^o)}=30.9\ units

Part 2

Find the length side AC

we know that

tan(A)=\frac{BC}{AC} ----> by TOA (opposite side divided by the adjacent side)

substitute the given values

tan(15^o)=\frac{8}{AC}

solve for AC

AC=\frac{8}{tan(15^o)}=29.9\ units

8 0
3 years ago
A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a l
Ne4ueva [31]
15-6x2=X im not sure if thats right but its what i got
7 0
3 years ago
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For her phone service, Lisa pays a monthly fee of $27, and she pays an additional $0.05 per minute of use. The least she has bee
Sergio [31]
The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:

27 + 0.05m >= 90.70

Now we can solve this equation for m.

27 + 0.05m >= 90.70
0.05m >= 63.70
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4 0
3 years ago
Find the volume of the figure.<br> 2.25 m<br> 4<br> m<br> 2.5 m<br> no
liberstina [14]

<u>Given</u>:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

<u>Volume of the triangular prism:</u>

The volume of the triangular prism can be determined using the formula,

V=\frac{1}{2}bhl

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

V=\frac{1}{2}(2.5)(2.25)(4)

V=\frac{1}{2}(22.5)

V=11.25 \ m^3

Thus, the volume of the triangular prism is 11.25 m³

4 0
3 years ago
Which expression is equivalent to one over five m − 20? (4 points)
exis [7]

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means \frac{1}{5}

∴ One over five m - 20 = \frac{1}{5} m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ \frac{1}{5} m - 20 = \frac{1}{5} (\frac{\frac{1}{5}m}{\frac{1}{5}} - \frac{20}{\frac{1}{5}})

→ Simplify the bracket

∵  \frac{1}{5} m ÷ \frac{1}{5} = \frac{1}{5} m × 5 = m

∵ 20 ÷  \frac{1}{5}  = 20 × 5 = 100

∴  \frac{1}{5} (\frac{\frac{1}{5}m}{\frac{1}{5}} - \frac{20}{\frac{1}{5}}) = \frac{1}{5} (m - 100)

∴ \frac{1}{5} m - 20 = \frac{1}{5} (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)

4 0
4 years ago
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