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blsea [12.9K]
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

A=8w^2+5w

Step-by-step explanation:

We are given that John is building a rectangular pen for his sheep.\

We have to complete the given equation

Let w be the width of rectangular pen

According to question

Length of pen=8w+5

We know that

Area of rectangle=Length \times breadth

Using the formula

Area of rectangular pen=w(5+8w)=8w^2+5w

Therefore, the area of rectangular pen=A=8w^2+5w

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____ [38]
Very confusing wording and your picture is blurry sorry 
8 0
3 years ago
Can you help? Having a hard time figuring this out. Thanks
Dmitrij [34]

Answer:

3a) The value of  x = 56

3b) The measure of ∠ H T M = 90°

3c) The radius of the circle = 53

Step-by-step explanation:

3a) ∵ A F is a tangent to the circle O at point F

∵ Secant AH intersects circle O at point T

∴ (A F)² = (A T)(A H)

∴ 7( x + 7) = (21)² ⇒ ÷ 7

∴ x + 7 = 63

∴ x = 63 - 7 = 56

3b) ∵ HM is a diameter

∴ The measure of the arc HM = 180° ⇒ semi-circle

∵ ∠ H T M is inscribed angle subtended by the arc HM

∴ m ∠ H T M = half the measure of arc HM

∴ m ∠ H T M = 180° ÷ 2 = 90°

3c) ∵ Δ H T M is a right angle triangle at T

∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem

∴ (H M)² = (90)² + (56)²

∴ (H M)² = 11236

∴ HM = \sqrt{11236} = 106

∴ OM = 106 ÷ 2 = 53

∵ OM is the radius of the circle O

∴ The radius  = 53

4 0
3 years ago
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
VARVARA [1.3K]
The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
|x-5| ≤ 1
x-5 ≤ 1, x-5 ≥ 0
-(x-5) ≤ 6, x-5 is less than 0
x ≤ 6, x ≥ 5
x ≥ 4, x is less than 5
x ∈ [5,6]
x ∈ [4,5]
4 ≤ x ≤ 6
(^which was the original answer^)

7 0
3 years ago
The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
lisabon 2012 [21]

Answer:

  4 square units

Step-by-step explanation:

If the triangles have corresponding sides the same length, they are congruent triangles. Any measure of ΔABC is the same for ΔDEF.

The area of ΔDEF is 4 square units.

3 0
2 years ago
How many square inches of crust would it take to cover the bottom of a pie dish with a 15 inch diameter ?​
Rus_ich [418]

Your answer would be <u>176.71</u>

hope this helps!

8 0
3 years ago
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