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Dvinal [7]
3 years ago
15

Tonya is making a scale model of a monument that is 160 feet tall. If she uses a scale of 4 in. = 5 ft., how tall should she mak

e her model?
Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

<u>It should be 128 inches or 10.67 feet tall</u>

Step-by-step explanation:

Real size of the monument = 160 feet tall

Scale used by Tonya = 4 inches equal to 5 feet

Scale model of the monument = Real size of the monument / Scale used

Proportion between real monument and scale model = 160 / 5 = 32

It means that the proportion between the real monument and the scale model is 32

Scale model height = Proportion * scale used

Scale model height = 32 * 4

<u>Scale model height = 128 inches</u>

<u>Scale model height = 128/12 = 10.67 feet (12 inches = 1 feet)</u>

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stion 1 OT 5A researcher recorded the number of swans and the number of ducks in a lake every month. Function s represents the n
Anon25 [30]

Given functions are

s(n)=2(1.1)^n+5_{}d(n)=4(1.08)^n+3

The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).

t(n)=s(n)+d(n)

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t(n)=2(1.1)^n+5+4(1.08)^n+3

t(n)=2(1.1)^n+4(1.08)^n+5+3

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t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

8 0
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2 years ago
Match each expression on the left with an equivalent expression on the right
Lana71 [14]
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
8 0
2 years ago
Read 2 more answers
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