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tester [92]
3 years ago
14

Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad’s head to the end of the shadow crea

tes a 23° angle with the ground. How tall is Chad, to the nearest tenth of a foot?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0
Imagine right triangle with first leg to be the Chad length and second leg to be the Chad's shadow. Second leg has length 14.3 ft and since t<span>he straight-line distance from the top of Chad’s head to the end of the shadow creates a 23° angle with the ground, you could consider the trigonmetric function
</span>
\tan 23^{\circ}= \dfrac{\text{Chad's length}}{\text{Chad's shadow length}},

then \tan 23^{\circ}= \dfrac{\text{Chad's length}}{14.3}, \\ \text{Chad's length}=14.3\cdot \tan 23^{\circ}=6.1.<span />
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saveliy_v [14]
23/6 as a mixed fraction is 3(5/6)
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3 years ago
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Pls solve the simultaneous equation in the attachment.
siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

\frac{x}{2}-\frac{y}{5}=1 ----> equation A

y-\frac{x}{3}=8 ----> equation B

Multiply equation A by 10 both sides to remove the fractions

5x-2y=10 ----> equation C

isolate the variable y in equation B

y=\frac{x}{3}+8 ----> equation D

we have the system of equations

5x-2y=10 ----> equation C

y=\frac{x}{3}+8 ----> equation D

Solve the system by substitution

substitute equation D in equation C

5x-2(\frac{x}{3}+8)=10

solve for x

5x-\frac{2x}{3}-16=10

Multiply by 3 both sides

15x-2x-48=30

15x-2x=48+30

Combine like terms

13x=78

x=6

<em>Find the value of y</em>

y=\frac{x}{3}+8

y=\frac{6}{3}+8

y=10

The solution is the ordered pair (6,10)

Part b) we have

xy=21 ---> equation A

x+5y=22 ----> equation B

isolate the variable x in the equation B

x=22-5y ----> equation C

substitute equation C in equation A

(22-5y)y=21

solve for y

22y-5y^2=21

5y^2-22y+21=0

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

x=22-5(1.4)=15

For y=3

x=22-5(3)=7

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0
3 years ago
Can someone help me find the midpoint?
ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})

Now we substitute

We have than (9, -1) is (x_{1}, y_{1}) and (3, - 4) is (x_{2}, y_{2})

So:

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So, we have:

(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)

<h2>(6,-2.5)</h2><h2 />

I can do a graphic explanation if you want.

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Which theorem or postulate proves the two triangles are similar?
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Answer:

sss i think

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inna [77]

The sum of √30 + √50 lies between 12 and 13.

<h3>What is the sum of the numbers?</h3>

The square root of a number can be described as number that when multiplied with itself yields that number.

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The consecutive integers are 12 and 13

To learn more about how to calculate square root, please check: brainly.com/question/8085738

#SPJ1

7 0
2 years ago
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