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Sedaia [141]
2 years ago
14

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The

ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of 77^{\circ}  the ground.

<h3>What is the sin ratio?</h3>

sin(\theta)=\frac{perpendicular \ side}{hypotenous}

Therefore we get,

\implies\frac{22}{H} =sin(77)

\implies H=22/sin(77)

\implies 22.59ft\\\\=23ft

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

To learn more about the trigonometric ratio visit:

brainly.com/question/24349828

#SPJ1

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it take the earth 24 hours to complete a full rotation it takes saturn approximately 10 hours 39 minutes and 24 seconds to compl
Lelu [443]

Hey there!!

1 min - 60 seconds, as we have a value in seconds, first let us convert it into seconds

10 hours 39 minutes 24 seconds

24 seconds is already is seconds , so let us keep it aside

39 into seconds

as 1 min = 60 seconds

39 min = 60 × 39 seconds

= 2340 seconds

10 hours into seconds

1 hour = 60 min

60 min  60 × 60 seconds

= 3600 seconds

as it 10 hours ,

3600 × 10

= 36000 seconds

add them all up

36000 + 2340 + 24

total seconds = 38364 seconds

as 1 min = 60 seconds

we can write this as

60 seconds = 1 min

then

38364 seconds = ? min

38364 seconds = 38364 / 60 min

= 639.4 minutes

The required answer is 639.4


3 0
3 years ago
8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.
jasenka [17]
<span>3x = y + 7
</span><span> y =3x-7
</span>
<span>8x = 2y + 5
</span><span>8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5

</span><span>8x = 2y + 5
</span>8(4.5)=2y+5
36=2y+5
2y=31
y=15.5
8 0
4 years ago
Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).
kupik [55]

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4  

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line:   y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8      

 put it in slope intercept form y = mx + b  

y  = 4x − 5

6 0
3 years ago
The image of the point ( 0 , 7 ) (0,7) under a translation is ( − 2 , 5 ) (−2,5). Find the coordinates of the image of the point
avanturin [10]

Given:

The image of the point (0,7) under a translation is (−2,5).

To find:

The coordinates of the image of the point (5,−2) under the same translation.

Solution:

It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:

(x,y)\to (x-2,y-2)

Using this rule of translation, the image of (5,−2) is

(5,-2)\to (5-2,-2-2)

(5,-2)\to (3,-4)

Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).

8 0
3 years ago
Ahhh okay help me pls!
inna [77]

Answer:

The answer is Dilation of a scale factor of 4 followed by a reflection of the y axis.

Step-by-step explanation:

On the smaller triangle, the line EF has a length of 1 unit.

On the larger triangle, the line EF has a length of 4 units.

Therefore, the smaller triangle was dilated by 4, since 4x1 is 4.

The triangles was flipped over the y axis.

This means that it was reflected over the y axis.

4 0
3 years ago
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