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djyliett [7]
3 years ago
12

PLEASE SHOW WORK OR EXPLAIN

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

<h3>20.6 ft</h3>

Step-by-step explanation:

You must use the trigonometric function.

In this case, it will be tangent.

tangent=\dfrac{opposite}{adjacent}

We have

\theta=38^o,\ opposite=r,\ adjacent=20

\tan38^\approx0.7813

Substitute:

\tan38^o=\dfrac{r}{20}

\dfrac{r}{20}=0.7813              <em>multiply both sides by 20</em>

r=15.626

Tree height is r + 5.

Therefore

r+5=15.626+5=20.626\approx20.6\ ft

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What is the largest number of consecutive integers whose sum is 2003?
Sladkaya [172]
2003 \div 2=1001.5

Go .5 below and .5 above this answer to get your consecutive integers.

Therefore the answer is 1001 and 1002.
4 0
3 years ago
What is the area of rectangle ABCD?​
MA_775_DIABLO [31]

Answer:

18 square units

Step-by-step explanation:

you multiply the base by the hight after graphing the square.

6 0
3 years ago
I really need help with this one
Novay_Z [31]

Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

=(15+4)*2

=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

3 0
3 years ago
Suppose we take the interval [−5,7] and divide it into 4 equal subintervals. Find the width Δn of each subinterval. Δn = If we n
lana66690 [7]

Answer:

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

Δn=3

Step-by-step explanation:

Remember, if we need to divide the interval (a,b) in n equal subinterval, then we need divide the distance (d) between the endpoints of the interval and divide it by n. Then the width Δn of each subinterval is d/n.

We have the interval [-5,7]. The distance between the endpoints of the interval is

d=7-(-5)=12.

Now, we divide d by 4 and obtain \frac{d}{4}=\frac{12}{4}=3

Then, Δn=3.

Now, to find the endpoints of each sub-interval, we add 3 from the left end of the interval.

-5=x_0\\x_0+3=-5+3=-2=x_1\\x_1+3=1=x_2\\x_2+3=4=x_3\\x_3+3=7=x_4

So,

x_0=-5\\x_1=-2\\x_2=1\\x_3=4\\x_4=7

5 0
3 years ago
What is the missing length?
aliina [53]

Answer:

The missing length is 7

Step-by-step explanation:

8 0
2 years ago
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