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vekshin1
3 years ago
5

Can someone help out? or explain? ​

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0
Y = 90 degrees

1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.

2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.

3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.

4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.

5) Answer = 90 degrees

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If a 24-foot ladder makes a 58 degree angle with the ground, how many feet up a wall will it reach? Round your answer to the nea
mash [69]

Answer: 20.4 feet

Step-by-step explanation:

(image attached for reference)

To find how high the ladder reaches on the wall, first find the relationship between the angle and the wall. The wall is opposite to the angle, so it's possible to solve this equation using sin(58). Sine equals opposite over hypotenuse so sin(58) = x/24. Multiply 24 on both sides to get an equation that can be plugged into a calculator of 24sin(58) = x.

24sin(58) = 20.35, which gets rounded up to a final answer of 20.4 feet.

8 0
1 year ago
Sally took $13 to the movies. She paid $5 for a movie ticket and popcorn. Which number sentence below will tell how much money s
Alla [95]

Answer:

n = 13 - 5

Step-by-step explanation:

Given,

Amount of money Sally had at first = $13

Amount of money Sally Spent = $5

amount of money left over, n

= Amount of money Sally had at first - Amount of money she spent

= 13 - 5

hence

n = 13 - 5

6 0
3 years ago
HH represents the height of the tree (in centimeters), t tt years since Renata moved in. H = 210 + 33 t H=210+33tH, equals, 210,
Jet001 [13]

Answer:

Therefore the rate of growth of the tree is 33 cm/ yr.

Step-by-step explanation:

Given that,

The height of the tree is

H= 210 +33t

Here H represent the height of tree in cm and t is time in year.

The rate of growth is the first order derivative of the H with respect to time.

i.e The rate of growth  =\frac{dH}{dt}

∴H= 210 +33t

Differentiating with respect to t

\frac{dH}{dt} =0 +33

\Rightarrow \frac{dH}{dt}=33

Therefore the rate of growth of the tree is 33 cm/ yr.

7 0
3 years ago
Alexa opens a savings account with a starting balance of $10,000. She will not make any additional deposits or withdrawals. The
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Answer:

$12,000

Step-by-step explanation:

Use the simple interest formula: P = A(1 + rt)

P = final balance (?)

A = starting balance (10,000)

r = interest rate (0.05)

t = years (4)

P = 10,000(1 + 0.05 · 4)

P = 10,000(1 + 0.2)

P = 10,000(1.2)

P = 12,000

5 0
2 years ago
A local museum had a total of 38,627 vsitors last year. The museum was open everyday except for four holidays. On average how ma
sweet-ann [11.9K]

38,627/361 = 107.

107 people visit the museum every day according to the information given.

8 0
3 years ago
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