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Triss [41]
2 years ago
11

I need help with these

Mathematics
2 answers:
SOVA2 [1]2 years ago
7 0

Answer:

twelve decreased by twice a number > 12 - 2x

8 times the sum of number and 4 > 8 (x + 4)

12 - 2x = 8 (x + 4)  then 12 - 2x = 8x + 32 (distributive property)

12 = 10x + 32 (add 2x to both sides)

-20 = 10x (subtract 32 from both sides)

x = -2 (divide both sides by 10)

IrinaVladis [17]2 years ago
6 0
Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
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Find the value of x.
allsm [11]

Answer:

3 \sqrt{5}

Step-by-step explanation:

x is the center of the circle.

the chord of length 12 can be splitted into two parts of 6 length each.

since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.

The explanation is given in the picture

5 0
2 years ago
Alex wants to sew a pillow in the shape below. How many square yards of fabric are needed to sew the pillow? Fabric is only sold
r-ruslan [8.4K]

The shape is missing, so i have attached it.

Answer:

2.6

Step-by-step explanation:

From the image attached, the diameter of the inner semi - circle is 0.5 yards while the length of each side of the pillow is 0.2 yards.

Thus, for us to find the length of the seam which is along the edges of the pillow, we will calculate the perimeter of the outer semicircle, then add the perimeter of the inner semicircle and also add the sides too.

Now, due to the fact that the length of the sides of the pillow are 0.2 yards each, the diameter of the outer circle would be;

0.5 + 0.2 + 0.2 = 0.9 yards. So, the perimeter of the outer semicircle is,

P0 = πd/2 = π × 0.9/2 =0.45π yds

The perimeter of the inner semicircle would be given as;

PI = πd/2 = π × 0.5/2 =0.25π yds.

Thus, we can calculate the total perimeter of the pillow as;

PT = P0 + PI + 0.2 + 0.2

PT = 0.45π + 0.25π + 0.2 + 0.2

PT ≈ 2.6 yards

Alex will need 2.6 yds

7 0
2 years ago
How to convert 750 in ^3 to yd^3
____ [38]

\bf \stackrel{\textit{we know that }}{1yd=36in}\implies \stackrel{\textit{therefore}}{(1yd)^3=(36in)^3}\implies \stackrel{\textit{distributing the exponent}}{1^3yd^3=36^3in^3}\\\\\\1yd^3=46656in^3~\hspace{8em}therefore\\\\\\750 \underline{in^3} \cdot \cfrac{1yd^3}{46656 \underline{in^3}}\implies \cfrac{750 yd^3}{46656}\implies \cfrac{125 yd^3}{7776}~~~~\approx~~~~ 0.016075~yd^3

5 0
3 years ago
The difference between two numbers 2.when each number is rounded to the nearest hundred , the difference between them is 100. Wh
nexus9112 [7]
Any nubber that is 100 digits apart.
7 0
3 years ago
Estimate the answer to 26.6 x 24.4/ 5.67 x 4.02.
NeTakaya
For this question, we must use BIDMAS

Brackets
Indices
Division
Multiplication
Addition
Subtraction

26.6  x  24.4  /  5.67  x 4.02

First, round all the values to their first significant figure

30 x 20 / 6 x 4

The first occurring operation in BIDMAS is Division
20/6 = 3 1/3

Now do the multiplication

30 x 3 1/3 x 4 = 400

Or you can round to the nearest whole number (although it can be more difficult if doing sums in your head)

27 x 24 / 6 x 4
27 x 4 x 4
27 x 16 = 432

The more accurately you round, the closer the estimation is to the actual answer (≈460)

1 Sig Fig = 400
Whole number = 432
6 0
3 years ago
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