What is the measure ?

Mario is constructing a frame for a 10 in .by 8 in. photo. He wants the frame to be the same width all the way around and the to

alexgriva [62]

(10+2x)(8+2x) = 120
4x^2 + 36x + 80 = 120
x^2 + 9x + 20 = 30

x^2 + 9x - 10 = 0

(x+10)(x-1) = 0

x = 1 inch dimension

8 0

3 years ago

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Algebraic expression the sum of 12 and k

USPshnik [31]

The answer is 12+k because sum means addition and it says 12 and k therefore you and 12 and k together and the algebraic expression would be 12+k

7 0

3 years ago

A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, w

Pavel [41]

See the attached figure to better understand the problem

we know that

tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft

the answer is
the man is 198.45 ft from the helicopter landing pad

3 0

3 years ago

Plz read and answerrrrrrrrrrr

natulia [17]

Answer:

16.7%.

Step-by-step explanation:

There are initially $24 + 15 + 8 = 47$ pencils in the bag.

Take a pencil out of this bag of 47 pencils. 15 out of the 47 pencils blue. Let $A$ represent the event of getting a blue pencil on the first pick. The probability of getting a blue pencil is:

$\displaystyle P(A) = \frac{15}{47}$ .

There are now $47 - 1 = 46$ pencils left in the bag. However, given that the first pencil removed from the bag is blue, the number of red pencils in the bag will still be 24. Take another pencil out of this bag of 46 pencils. Let $B$ represent the event of getting a red pencil on the second pick. The possibility that the second pencil is red given that the first pencil is blue will be:

$\displaystyle P(B|A) = \frac{24}{46}$ .

The question is asking for the possibility that the first pencil is blue and the second pencil is red. That is:

$\displaystyle P(A\cap B) = P(A) \cdot P(B|A) = \frac{15}{47}\times \frac{24}{46} = 0.166512 \approx 16.7\%$ .

5 0

3 years ago

Please answer the six questions in the picture please

lisov135 [29]

Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y

so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)

7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)

8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)

9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)

10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)

11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)

6 0

3 years ago

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