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irina1246 [14]
3 years ago
7

Please help me I’ll mark brainliest

Mathematics
1 answer:
kotegsom [21]3 years ago
6 0
Expand so it would be 21 + 3x? I’m guessing
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100 points pls help
blsea [12.9K]

Answer:

  • a) 2/3p
  • b) q + 1/2p

Step-by-step explanation:

<u>Given</u>

  • AB  = p
  • AD = q

a)

  • DC /AB = 3/2 ⇒
  • DC = 3/2AB = 3/2p

b)

  • BC = AD + (DC - AB)
  • BC = q + (3/2p - p) = q + 1/2p
8 0
3 years ago
Read 2 more answers
A school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to
vovikov84 [41]

Answer:

30.1 feet.  

Step-by-step explanation:

We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.

First of all, we will draw a diagram to represent our give scenario as shown in the attachment.

We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(62^{\circ})=\frac{h}{16}

h=16\cdot \text{tan}(62^{\circ})

h=16\cdot 1.880726465346

h=30.0916234\approx 30.1

Therefore, the poll is approximately 30.1 feet tall.

6 0
3 years ago
Is the following statement always, sometimes, or never true? “The supplement of an acute angle is an obtuse angle.” Explain your
balu736 [363]

Answer:

Always

Step-by-step explanation:

An acute angle is an angle that is less than 90. Supplementary angles add up to 180.

So 180-89= 91

An obtuse angle is any angle that is greater than 90.

Here's a link to a better explanation.

brainly.com/question/14180317

7 0
3 years ago
Read 2 more answers
{[14-2×3]-[18÷(12-3)]}+{42-11×3+[(65-9×5)+3]}
natali 33 [55]
Use Bidmas, solve all the inner brackets (), with first division, then multiplication then addition then subtraction
5 0
3 years ago
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for tha
Alborosie

Answer:

k = 13The smallest zero or root is x = -10

Step-by-step explanation:

you can write "x^2" to mean "x squared"

f(x) = x^2+3x-10

f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5

f(x+5) = (x^2+10x+25)+3(x+5)-10

f(x+5) = x^2+10x+25+3x+15-10

f(x+5) = x^2+13x+30

Compare this with x^2+kx+30 and we see that k = 13

Factor and solve the equation below

x^2+13x+30 = 0

(x+10)(x+3) = 0

x+10 = 0 or x+3 = 0

x = -10 or x = -3

The smallest zero is x = -10 as its the left-most value on a number line.

7 0
3 years ago
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