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lesantik [10]
3 years ago
9

Allison is 5 ft tall. One afternoon her shadow measured 2.5 ft. At the same time, the shadow of her favorite tree was 14.5 ft. W

hat is the height of the tree?
Mathematics
1 answer:
luda_lava [24]3 years ago
8 0
At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree


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Write the algebraic expression described. Recall that two angles are supplementary if their sum is 180 degrees. If one angle mea
Alina [70]
If one angle is d° then it's supplement is
(180-d)°
8 0
3 years ago
What is the value of x in the equation<br> 4z +16<br> 12<br> = х - 4?
Serhud [2]
<h3>Solution:</h3>

\frac{4x + 16}{12}  = x - 4 \\  =  > 4x + 16 = 12(x - 4) \\  =  > 4x + 16 = 12x - 48 \\  =  > 16 + 48 = 12x  - 4x \\  =  > 64 = 8x \\  =  > x =  \frac{64}{8}  \\  =  > x = 8

<h3>Answer:</h3>

x = 8

7 0
2 years ago
There are 143076 books in the library. The 3rd grade class walked over and each kid checked out 2 books. There are 21 students i
9966 [12]

Answer:

The answer is: There are only 143034 books left after the students return to their classroom

Step-by-step explanation:

Lets call X= Number of books left in the library after the students return to their classroom.

B=Total of Books in the library

S=Total of books taken by the 3rd grade students

If each student  of the 3rd grage class take 2 books, the total of book taken by the 3rd grade students would be:

S=2 books per student * Total of students of the 3rdgrade

S=2*21=42

Then we must substract Total of Books in the library minus Total of books taken by the 3rd grade students. That would be:

X=B-S

X=143076-42

X=143034

I hope that this answer will help you

7 0
3 years ago
Ross needs to have a procedure done, and since he is over 65 he is on Medicare. Medicare says that according to their plan the a
Anni [7]

Answer:

\large \boxed{\$1200.00}

Step-by-step explanation:

              Let the office charge  = x

     Amount paid by Medicare = ⅞x

Amount paid by Ross = ¼(⅞x) = $262.50

 

Solve for x

\begin{array}{rcrl}\dfrac{1}{4} \left(\dfrac{7}{8}x \right ) & = & \$262.50 & \\\dfrac{7}{32}x & = & \$262.50 & \text{Multiplied the fractions}\\\\7x & = & \$8400.00 & \text{Multiplied each side by 32}\\x & = & \mathbf{\$1200.00} & \text{Divided each side by 7}\\\end{array}\\\text{The office wanted to charge } \large \boxed{\mathbf{\$1200.00}}

Check:

\begin{array}{rcl}\dfrac{1}{4} \left(\dfrac{7}{8}\times \$1200.00 \right ) & = & \$262.50\\\\\dfrac{1}{4} \left(\$1050.00 \right ) & = & \$262.50\\\\\$262.50 & = & \$262.50\\\end{array}

OK.

7 0
3 years ago
Heyyyy help meeee please
abruzzese [7]

Step-by-step explanation:

\frac{2}{3} of \: 54 = 36 \\  \\  \frac{1}{6} of \: 54 = 9 \\ 36 + 9 = 45 \\ 54 - 45 = 9

therefore, 9 students haven't given their speech

6 0
3 years ago
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