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ElenaW [278]
3 years ago
7

A tree casts a shadow 20 feet long at the same time the shadow cast by a vertical 7-foot post is 12 ft long find the height of t

he tree
Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
Set up a proportion and get x=11.67 ft
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It takes 1.5 hours for jayson to mow a lawn. Linda can mow the same lawn in 2hrs. How long with it take them, working together,
Nataly [62]
1.75 hours, add them up and divide by two and you get your answer
8 0
3 years ago
Evaluate the expression,<br> if x = 6, y = 8, and z = 4.<br> 6x - y<br> N
kari74 [83]

Replace the letters with their given values:

6(6) - 8 / 4

Do the multiplication:

36-8 / 4

Subtract:

28/4

Divide to get the final answer :7

Answer = 7

7 0
3 years ago
Read 2 more answers
Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.)
Inga [223]
Given the angle \frac{3\pi}{4}

angle \frac{3\pi}{4} is equivalent to angle 135 degrees and angle 135 degrees is equvalent to angle 45 degrees in the second quadrant, thus sine is positive but cosine and tangent are negative.

\sin \frac{3\pi}{4} =\sin \frac{\pi}{4} = \frac{1}{ \sqrt{2} }  \\  \\ \csc\frac{3\pi}{4}= \frac{1}{\sin\frac{3\pi}{4}} = \frac{1}{\frac{1}{ \sqrt{2} }} = \sqrt{2}  \\  \\ \cos\frac{3\pi}{4} =-\cos \frac{\pi}{4} = -\frac{1}{ \sqrt{2} }  \\  \\ \sec\frac{3\pi}{4}= \frac{1}{\cos\frac{3\pi}{4}} = \frac{1}{-\frac{1}{ \sqrt{2} }} =- \sqrt{2}  \\  \\ \tan\frac{3\pi}{4} =-\tan \frac{\pi}{4} = -1  \\  \\ \cot\frac{3\pi}{4}= \frac{1}{\tan\frac{3\pi}{4}} = \frac{1}{-1} =- 1
8 0
3 years ago
This year, a small business had a total revenue of $72,900. If this is 35% more than their total revenue the previous year, what
ziro4ka [17]

Answer:

Therefore there revenue was $540,000.

Step-by-step explanation:

Let their total revenue last year be x

so

35% of x = $72,9000 - x

or, 35/100 × x = 729000 - x

or, 7x/20 = 729000-x

or, 7x = 20(729000-x)

or, 7x = 1458000- 20x

or, 7x + 20x = 14580000

or, 27x = 14580000

or, x = 14580000/27

so, x = $540,000

4 0
3 years ago
Evaluate 12.7 - x for x= 8.41
agasfer [191]

Answer:

x=  

10

429

​  

 

​  

≈2.071231518

x=−  

10

429

​  

 

​  

≈−2.071231518

Step-by-step explanation:

12.7−xx=8.41

Multiply x and x to get x  

2

.

12.7−x  

2

=8.41

Subtract 12.7 from both sides.

−x  

2

=8.41−12.7

Subtract 12.7 from 8.41 to get −4.29.

−x  

2

=−4.29

Divide both sides by −1.

x  

2

=  

−1

−4.29

​  

 

Expand  

−1

−4.29

​  

≈4.29 by multiplying both numerator and the denominator by 100.

x  

2

=  

−100

−429

​  

 

Fraction  

−100

−429

​  

≈4.29 can be simplified to  

100

429

​  

=4.29 by removing the negative sign from both the numerator and the denominator.

x  

2

=  

100

429

​  

 

Take the square root of both sides of the equation.

x=  

10

429

​  

 

​  

 

x=−  

10

429

​  

 

​  

 

3 0
3 years ago
Read 2 more answers
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