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Anastaziya [24]
4 years ago
8

A 10​-ft vertical post casts a 16​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. How tall is the

cell phone​ tower?
Mathematics
1 answer:
ladessa [460]4 years ago
5 0
Either 915 ft or 917 ft
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Victoria spent one-fourth of her birthday money on clothes. She received another $25 a week later. If she has a total of $70 now
tia_tia [17]

Answer:

she had $60 before she went for shopping

Step-by-step explanation:

PLZ MARK BRAINLIEST

Let x represent the amount of money that Victoria had before she went for shopping.

Victoria spent one-fourth or her birthday money on clothes. It means that the amount she spent on shopping is 1/4 × x = x/4. Amount that she was having left would be x - x/4 = 3x/4

She received another 25$ a week later. The amount that she is having at this point will be 3x/4 + 25

If she has a total of 70$ now, it means that

3x/4 + 25 = 70

Multiplying through by 4

3x + 100 = 280

3x ,= 280 - 100 = 180

x = 180/3 = 60

3 0
3 years ago
Find the slope of a<br> line with ordered pairs<br> (1,5) and (5,8)
klemol [59]

Step-by-step explanation:

(1,5) (5,8)

x,y. x,y

Formula: <u>y2-y1</u>

x2-x1

so...

<u>8-5</u><u>=</u> <u>3</u>

5-1 = 4

so... <u>3</u>

4

6 0
3 years ago
Find the principal.
timofeeve [1]
7250 rupees is the answer to your question!!
5 0
3 years ago
Plz help I have no idea how to answer it​
saveliy_v [14]

5. Answer: see explanation

<u>Step-by-step explanation:</u>

If the roots are m and 3m, then x = m and x = 3m

⇒ x - m = 0    and      x - 3m = 0

⇒ (x - m)(x - 3m) = 0

⇒ x² - 4mx + 3m² = 0

Since x² + px + q = 0   then  p = -4m   and q = 3m²

3p² = 3(-4m)²               16q = 16(3m²)

      = 3(16m²)                      = 48m²

      = 48m²

3p² = 48m² = 16q     ⇒           3p² = 16q

**********************************************************************************************

6. Answer: 8 or 18

<u>Step-by-step explanation:</u>

The Area of the entire rectangle (A = L × w) is 12 × 10 = 120

The Area of the shaded region is 72, so the Area of the non-shaded region is 120 - 72 = 48.

There are two non-shaded triangles.

  • Bigger non-shaded Δ: L = 12-x, w = 10  ⇒ A = \dfrac{10(12-x)}{2}
  • Smaller non-shaded Δ: L = x, w = x ⇒ A=\dfrac{x(x)}{2}

Combine the Areas of both triangles and set it equal to the Area of the non-shaded region:

\dfrac{x(x)}{2}+\dfrac{10(12-x)}{2}=48\\\\\\\dfrac{x^2}{2}+\dfrac{120-10x}{2}=48\\\\\\\dfrac{x^2-10x+120}{2}=48\\\\\\x^2-10x+120=96\\\\x^2-10x+24=0\\\\(x-4)(x-6)=0\\\\x - 4 = 0\quad or\quad x-6=0\\x=4\qquad or\qquad x=6\\\\\text{Based on the image provided, it appears that the x-value will be the}\\\text{smallest of the two possible solutions (4), but both solutions are valid.}

Area of ΔBEF:

\text{when x = 4, A =}\ \dfrac{4(4)}{2}=\dfrac{16}{2}=8\\\\\\\text{when x = 6, A =}\ \dfrac{6(6)}{2}=\dfrac{36}{2}=18

5 0
3 years ago
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options.
sammy [17]

Answer:

Feb 28, 2020 — ... EndFraction? Select all that apply. ... X = StartFraction 6 over 4 EndFraction x = Negative StartFraction 6 over 4 EndFraction x minus one-fourth = negative StartFraction 5 over 4 EndFraction x = negative three-halves x = negative three-fourths. 2 ... Ashley solved the equation for m using the following steps.

2 answers

 

·

 

Top answer:  

Answer: (B)x=-\dfrac{6}{4}Step-by-step explanation: We want to determine which ...

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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