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nadezda [96]
2 years ago
12

A kitchen counter will be designed according to the measurements of the diagram in the image. What is the area of the surface of

the counter in square feet?
A. 27 ft²
B. 31.5 ft²
C. 36 ft²
D. 40 ft²

Mathematics
2 answers:
Firdavs [7]2 years ago
8 0

Answer:

31.5

Step-by-step explanation:

so first find the area of the triangle, which is 9. then divide that by 2 which equals 4.5.

now find the area of the missing square, which is 5×4, and that equals 20. now pretend that the square is whole, and find the area of the whole square. that would be 8×7, which equals 56. so now you need to subtract 4.5 and 20 from 56.

56

24.5

____

31.5

Semmy [17]2 years ago
7 0

Answer:

B:31.5

Step-by-step explanation:

Find areas of both rectangles by multiplying the 2 given values (12 & 15)

Take the sides parallel to the triangles non-hypotenuse sides (3 & 3)

Take both values and add them over 2

Receive the answer 4.5

Add that to the rectangle values for an answer of 31.5

Hope this helps

Have a good day

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Alisiya [41]

Answer:

12000000000000

Step-by-step explanation:

4 0
3 years ago
longitud del radio de la circunferencia circunscrita a un heptágono regular si su diagonal de menor longitud mide 42 cm
oksano4ka [1.4K]

Answer:

The answer is easy.

Step-by-step explanation:

6 0
2 years ago
A force of 10 lb is required to hold a spring stretched 4 in. beyond its natural length. How much work is done in stretching it
Troyanec [42]

Answer:

W = 15/4 ft . ib

Step-by-step explanation:

Force = 10ib

According to hooked law, f(x) = kx

x = 4inches = 4/12 ft

x= 1/3ft

f(x) = 1/3k

10 = 1/3k

k = 30 ib/ft

f(x) = 30x

Workdone = integral of f(x) with its limit

6 inches = 6/12 ft

= 1/2ft

W = integral(1/2 to 0) of 30x

W = 15x^2(1/2 to 0)

W = 15(1/2)^2 - 15(0)^2

W = 15(1/4) - 0

W = 15/4 ft. Ib

4 0
3 years ago
Write the equation of a line that is perpendicular to y=-0.3x+6 and that passes through the point (3,-8)
MariettaO [177]
Hey there!

First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:

y = mx + b
where m is the slope and b is the y-intercept.

When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:

8 = -3(-3) + b
8 = -9 + b
17 = b

Now, since we have slope and y-intercept, we can write our equation as:

y = -3x + 17

Hope this helps!
5 0
2 years ago
Read 2 more answers
Jeff has a box containing 26 tiles, each with a different letter of the alphabet. he randomly draws 4 letters, one at a time wit
MArishka [77]
The probability to choose letter n is \frac{1}{26}. After drawing letter n there left 25 letters and the probability to choose the letter w is \frac{1}{25}. After drawing two letters n and w there left 24 letters and then the probability to choose letter b is \frac{1}{24}. After drawing three letters n, w and b there left 23 letters, so the probability to choose letter t is \frac{1}{23}.
Using the product rule for probabilities, you can obtain that P= \frac{1}{26} * \frac{1}{25} * \frac{1}{24}* \frac{1}{23} =0.0000027.
8 0
2 years ago
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