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3 years ago

A 30-foot ladder was put up against a building. The ladder makes a 64° angle with the ground. How high up

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

Answer:

height = 26.96 feet

Step-by-step explanation:

sin 64° = height/30

0.8988 = height/30

height = 26.96 feet

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Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many

Alex Ar [27]

Answer:

Number of apples remaining with him will be 2 when we combined both the conditions.

Step-by-step explanation:

Given;

Number of apples Jack Picked =76

Number of apples sold to Juanita = 4y

Number of apples sold to Sylvia = 3t

We need to find the Number of apples remaining with him.

Solution:

To find the Number of apples remaining with him we will Subtract Number of apples sold to Juanita and Number of apples sold to Sylvia from Number of apples Jack Picked.

framing in equation form we get;

Number of apples remaining with him = $76-4y-3t$

Now Given:

Condition 1 : y ≥ 15 and t = 2

So we can assume y =16 and t =2

Number of apples remaining with him = $76-4\times16-3\times2 = 76 -64 -6 = 6$

Also we can say that y =17 and t =2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

So the Given data is Insufficient to find the Number of apples remaining with him.

Condition 2 : y = 17

Number of apples remaining with him = $76-4\times17-3t = 76 -68 -3t = 8-3t$

Since value of t is not given we can say that;

Given data is insufficient to find the number of apples remaining with him.

Condition 3 : Combined i.e y = 17 and y≥ 15 t = 2

Number of apples remaining with him = $76-4\times17-3\times2 = 76 -68 -6 = 2$

Hence we can say that Number of apples remaining with him will be 2 when we combined both the conditions.

7 0

3 years ago

What it 2.6% written as a decimal?

Readme [11.4K]

.026 because 2.6%*100 is 0.026

5 0

3 years ago

Read 2 more answers

Graph the system. Tell whether the system has one solution, no solution, or infinitely many solutions. y = –2x + 1 y = –2x – 3

Alchen [17]

Let's try the actual solution of the system

<span>y = –2x + 1
y = –2x – 3

Note that the slopes of the graphs of these two lines are the same: -2.

That means that the lines are parallel to one another.

Only the y-intercepts (1 and -3) are different.

Since the 2 lines never intersect, the system has no solution.

</span>

8 0

3 years ago

2) What is the length of BD and BC in the diagram below?

babunello [35]

Answer:

BC is 10 unit

BD is 15 units

Step-by-step explanation:

Here, given the end points of the line segments, we want to calculate BD and DC

Mathematically, the distance between two points can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

For BD, we have the following

D = √(14-5)^2 + (14-2)^2

D = √(9)^2 + 12^2

D = √81 + 144

D = √(225)

Distance BD is 15 units

For BC, we have the following

D = √(11-5)^2 + (10-2)^2

D = √(6)^2 + 8^2

D = √100

D = 10

4 0

3 years ago

What is the sum of the first 100 positive multiples of 4?

Ann [662]

<span> This would be a series: 5 + 10 + 15 + 20 +...+ 500
there are n terms → n = 100
the nth term is 500
</span>

7 0

3 years ago

Read 2 more answers