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Lorico [155]
3 years ago
5

Three is 7 more than one-fifth of a number.​

Mathematics
1 answer:
Paha777 [63]3 years ago
5 0

Answer:

3=1/5x+7

Step-by-step explanation:

when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer

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3 years ago
Carrie gave her hair stylist a $4.20 tip. The tip was 15% of the cost of the
Wittaler [7]

The total cost of her haircut was 28 dollars

step by step:

(percentage) 15 x 6 = 90

4.20 x 6 =25.2

(perscentage) 15 divided by 3 = 5

4.20 divided by 3 = 1.4

1.4 + 1.4 = 2.8

25.2 + 2.8 =28

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3 years ago
Find range<br>of<br>f(x) =<br><img src="https://tex.z-dn.net/?f=1%20%5Cdiv%20%28%20%7Cx%7C%20%20-%20x%29" id="TexFormula1" title
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Step-by-step explanation:

We need to find thr range if

\frac{1}{ (|x|  - x)}

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3 years ago
Robin is flying a kite. She ties the 50 foot kite string to the ground. If the kite is
krok68 [10]

\bold{\huge{\orange{\underline{ Solution }}}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u><u> </u><u>Robin </u><u>is </u><u>flying </u><u>a </u><u>kite</u><u>. </u>
  • <u>She </u><u>ties </u><u>the </u><u>5</u><u>0</u><u> </u><u>foot </u><u>kite </u><u>string </u><u>to </u><u>the </u><u>ground </u><u>.</u>
  • <u>The</u><u> </u><u>kite </u><u>is </u><u>flying </u><u>at </u><u>4</u><u>0</u><u> </u><u>feet </u><u>high </u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>measure </u><u>of </u><u>the </u><u>angle </u><u>the </u><u>string </u><u>forms </u><u>with </u><u>the </u><u>group </u><u>that </u><u>is </u><u>angle </u><u>of </u><u>elevation</u><u>. </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

<u>According </u><u>to </u><u>the </u><u>given</u><u> </u><u>question</u><u>, </u>

  • Hypotenuse AC ( Distance of string from the ground) = 50 ft.
  • Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

<h3><u>Therefore</u><u>, </u></h3>

<u>By </u><u>using </u><u>trigonometric </u><u>ratios</u><u>,</u><u> </u>

{ \bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}

\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}

\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}} }

<u>The </u><u>Angle </u><u>of </u><u>elevation </u><u>will </u><u>be </u>

<u>[</u><u> </u><u>The </u><u>angle </u><u>that </u><u>is </u><u>formed </u><u>between </u><u>the </u><u>line </u><u>of </u><u>sight </u><u>and </u><u>base </u><u>of </u><u>the </u><u>triangle </u><u>is </u><u>called </u><u>angle </u><u>of </u><u>elevation </u><u>]</u>

\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}

\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}

\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}

\sf{ Sin Φ = 0.8 }

\bold{\green{  Φ = 45.83° }}

Hence, The measure of the angle the string forms with the ground is 45.83° .

7 0
2 years ago
Please, I give 20 score. Find the volume
Elza [17]

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

\pi \: r {}^{2} h

(3.14) \times (4 {}^{2} ) \times 9

3.14 \times 16 \times 9

452.16 \:  {in}^{3}

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

l \:  \times w \:  \times h

16 \times 11 \times 11

1936 \: in {}^{3}

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

6 0
3 years ago
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