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pychu [463]
3 years ago
12

The flagpole in Terry's schoolyard is 42 ft tall. On a sunny day, the flagpole casts a shadow 20 ft long. What is the angle of e

levation of the sun at that moment? Round to the nearest tenth of a degree.

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

64.5°

Step-by-step explanation:

angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.

tan theta = opposite/adjacent

angle = tan^-1(42/20)

angle = 64.5°

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Zanzabum

Answer:

The correct answer is $16217

Step-by-step explanation:

You do 5550 + 13000 and get that answer and subtract 2333

3 0
3 years ago
The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the yea
Inga [223]

Answer:

90

Step-by-step explanation:

The sum of squares of the deviation from mean=sum(x-xbar)²=?

x

12

6

15

9

18

12

xbar=sumx/n

xbar=(12+6+15+9+18+12)/6=72/6=12

x      x-xbar       (x-xbar)²

12      12-12=0     0

6       6-12=-6     36

15      15-12=3      9

9       9-12=-3       9

18      18-12=6      36

12      12-12=0      0

sum(x-xbar)²=0+36+9+9+36+0=90

So, the sum of squares of the deviations from the mean is 90.

3 0
3 years ago
If the expression (3^(d)*\sqrt(5))/(3^(2)*\sqrt(45)) is equal to 3, what is the value of d
Digiron [165]

3^d\cdot\dfrac{\sqrt5}{3^2\cdot\sqrt{45}}=3\\\\\dfrac{3^d\sqrt5}{3^2\sqrt{9\cdot5}}=3\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\dfrac{3^d\sqrt5}{3^2\sqrt9\cdot\sqrt5}=3\\\\\dfrac{3^d}{3^2\cdot3}=3\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{3^d}{3^{2+1}}=3\\\\\dfrac{3^d}{3^3}=3\qquad\text{multiply both sides by}\ 3^3\\\\3^d=3\cdot3^3\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\3^d=3^{1+3}\\\\3^d=3^4\iff\boxed{d=4}

8 0
3 years ago
5. Solve the problem by writing an inequality. A club decides to sell T-shirts for $12 as a fund-raiser. It costs $20 plus $8 pe
kykrilka [37]
T=the amount of shirts
12t-20-8t=100
12t-8t=120
4t=120
t=30
So they must sell at least 30 shirts to make $100.
8 0
3 years ago
Can u help me solve this
Nezavi [6.7K]

Answer:

615.44 m²

Step-by-step explanation:

the area of circle = 3.14 x 14² = 3.14×196

= 615.44 m²

6 0
2 years ago
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