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storchak [24]
2 years ago
15

jacks tent is shaped like an isosceles triangle. the height of the tent measures 7 feet and the diagonal side measures 9 feet. f

ind the length of the tents base

Mathematics
1 answer:
Maru [420]2 years ago
7 0

Answer:

8\sqrt{2}\ ft

Step-by-step explanation:

see the attached figure to better understand the problem

Remember that

An isosceles triangle has two equal sides and two equal interior angles

In the isosceles triangle ABC

Applying the Pythagorean Theorem

Let

b ----> the length of the tents base

9^2=7^2+(b/2)^2

(b/2)^2=9^2-7^2

(b^2/4)=32

b^2=128\\\\b=\sqrt{128}\ ft

simplify

b=8\sqrt{2}\ ft

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marco has a piece of wood that measures 9 x 1/10 6 x 1/100 4 x 1/1000 meter. how can this measurement be written as a decimal?
Darina [25.2K]
Based on the given values above, this is how the measurements can be written as a decimal.
Firstly, we need to convert the fractions into decimals first:
a. 1/10 is 0.1
b. 1/100 is 0.01
c. 1/1000 is 0.001
Next, we multiply this to their corresponding numbers given:
a. 9 x 0.1 is 0.9 meter
b. 6 x 0.01 is 0.06 meter
c. 4 x 0.001 is 0.004 meter
Therefore, the measurements of the piece of wood that Marco has are: 0.9, 0.06 and 0.004 meters. Hope this answer helps.
6 0
2 years ago
The areas of the squares created by the side lengths of the triangle are shown. Which best explains whether this triangle is a r
nikitadnepr [17]

Answer:

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 9+12\neq 15

Step-by-step explanation:

The complete question in the attached figure

we know that

If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs

In this problem

The length sides squared of the triangle are equal to the areas of the squares

so

c^2=15\ in^2  

a^2=12\ in^2

b^2=9\ in^2

substitute

15=12+9

15=21 ----> is not true

so

The length sides not satisfy the Pythagorean Theorem

therefore

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 9+12\neq 15

8 0
2 years ago
Read 2 more answers
Desiree works 28 hours per week. She has a monthly income of $120 from investments. Desiree also plays in a band one night a wee
Oksi-84 [34.3K]
So hmmm let's see
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$1440

she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400

her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856

so, she makes from her job, $37856 annually

now, she only works 28 hours weekly, how much is that yearly?   well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that

37856 ÷ ( 28 * 52)   well, it ends up as 26

so, her hourly payrate is $26 per hour

now, she wants to ask for a raise, to make 51880 annually

well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount

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7 0
2 years ago
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Which measure is the largest? 1.2 km, 120,600 cm, 1,220,000 mm, 120 meters
Margarita [4]
The first thing you should know to answer this question is the following conversions:
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 1m = 1000mm
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 120600cm = 1206.00m
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 120m = 120m
 Answer
 The biggest measure is
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Igloos Unlimited charges $150 per night, with a 50% discount every night after the third night. If you stay for eight nights, ho
stiks02 [169]

Answer: (150x3)+((150/2)x5)=(450)+((75)x5)=450+375=825. You would have to pay $825.

5 0
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