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ElenaW [278]
3 years ago
12

In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

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astra-53 [7]

Answer:

x = 10, x = 124

Step-by-step explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124

5 0
4 years ago
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You borrow money for 4 years. The total amount you repay is $7,840, which includes $840 in simple interest. How much was the pri
den301095 [7]

Answer:

$7,000

Step-by-step explanation:

$7,840 - $840 to get the principal value

$7000

6 0
3 years ago
Read 2 more answers
20 points!! Pls help
Studentka2010 [4]

Answer:

<h3>(-4, 1)</h3>

Step-by-step explanation:

-x-3=y, therefore x = -y-3

-3x - 8y = 4

Find the value of y

Substitute the x in -3x - 8y = 4 with -y-3

We get

-3·(-y-3) - 8y = 4

3y + 9 - 8y = 4

-5y = 4-9

-5y = -5

<h3>y = 1</h3>

_______________

Find the value of x

x = -y-3

x = -1-3

<h3>x = -4</h3>

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<h3>(-4, 1)</h3>

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5 0
3 years ago
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Which is the distance betweeen parallel lines with the equations y=-1/3x+3 and y=-1/3x-7
Vera_Pavlovna [14]

Answer:

the distance is 10

Step-by-step explanation:

since the slope is the same you know they're parallel, but just find the difference from the two y intercepts (the +3/-7) the difference is 10, so 10.

3 0
2 years ago
A right triangle has sides of length 3 ft. 4 ft. and 5 ft. what’s it’s perimeter
laila [671]

Answer:

The perimeter of the right triangle is 12ft.

Step-by-step explanation:

Multiply leg A and B

Leg A: 3

Leg B: 4

3*4=12

or

You add all the sides up and get 12.

Hope this helped :)

6 0
3 years ago
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