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PIT_PIT [208]
3 years ago
6

NUMBER 64 Elijah is selling coupon books for a school fund raiser. The coupon books sell for $ 1 1 . The school

gets $ 8 , $ 3 goes to Elijah's homeroom. If Elijah sold  24 coupon books, how much money did he collect? How much went to his homeroom? How much went to the school? What is the mathematical sentence?
Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
Alright.. so the operations would be multiplication and addition.
The reason for this is you're finding the amount the school got --24*8-- and the amount the homeroom got --24*3-- then add those to get the total he got.

Let's use the variable 't' to represent the total he collected.
We know that the school gets 8 for every book and he sold 24, so this can be represented with 8*24.
We also know that the homeroom gets 3 for every book, so 3*24. Both of these added will give you the total amount of money he earned, 't'.
So the sentence can be written as
t=8(24)+3(24).
t=192+72.
t=264.
So, we can see that the total he earned was $264.
If you look back at the equation, we know that the 8*24 represents the amount the school earned, which means that school earned $192.
The same goes with the amount the homeroom earned; we know that this is represented by 3*24, and thus the homeroom earned $72.
And that's it!!! (:
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Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft

Hence, D. tan(30^\circ+45^\circ) is the correct answer.

5 0
3 years ago
I need help on this During the spring, Nina Milling assembles bicycles at The Wheeler Dealer. She is paid $12.00 for each bicycl
frez [133]

Answer:

$556

Step-by-step explanation:

4+7+6+10+8=35

35x12=420

4x14=56

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7 0
3 years ago
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PLEASE HELP ME! Find the cube roots of 125(cos 288° + i sin 288°).
shutvik [7]
◆ COMPLEX NUMBERS ◆

125 ( cos 288 + i sin 288 )  can be written as -

125.e^i( 288) 
125.e^i( 288 +360 ) 
125.e^i( 288+ 720)

[ As , multiples of 360 can be added to an angle without changing any trigonometric functions or sign ]

To find the cube root , take the cube root of above 3 expressions ,

We get -
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5 e^( i 336 )

Now using Euler's formula , We rewrite above as -

5 ( cos 96 + i sin 96 ) 
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3 years ago
Giselle spent 7/10 of her money on a book and 10/100 of her money on food. What fraction of her money did she spend altogether?
aleksklad [387]

Answer:

80/100 or 80%

Step-by-step explanation:

7/10 = 70/100

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8 0
3 years ago
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By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

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The lengths of the sides of ΔABC are

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The lengths of the sides of ΔDEF are;

DE = √25=5

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AB= DE, BC = EF , AC= DF

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