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andreyandreev [35.5K]
3 years ago
5

(1/16)^(x+3) = (1/4)^(x+1)

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

nika2105 [10]3 years ago
5 0

The answer is x = -5. The explanation and answer is in the image below.

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The sum of all of the solutions for the equation (6x+k)(3x-11)=0 is 1. What is the value of k?
Ad libitum [116K]

Answer:

-6x

Step-by-step explanation:

6 0
3 years ago
The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can
antoniya [11.8K]

Answer:

<u>The correct answer is A. 60 square feet.</u>

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

<u>The correct answer is A. 60 square feet.</u>

7 0
3 years ago
Read 2 more answers
How to find area and perimiter of a 30/60/90 triangle
Travka [436]
The perimeter would be 15+5 \sqrt{2} and the area would be 12.5 \sqrt{2} .
3 0
3 years ago
Describe the relationship between the area of a circle and its circumstances
valentina_108 [34]

Answer:

A = \frac{r}{2}C

Step-by-step explanation:

Given

Shape: Circle

Required

The area and the circumference (relationship)

This implies that, we write an expression that relates the area and the circumference.

Circumference is calculated as:

C = 2\pi r

Area is calculated as:

A = \pi r^2

The area can be rewritten as:

A = \frac{2\pi r^2}{2}

Further rewrite as:

A = \frac{r}{2}*2\pi r

Recall that:C = 2\pi r

So, the expression becomes

A = \frac{r}{2}*C

A = \frac{r}{2}C

6 0
3 years ago
Can someone help me with this problem that is in the picture
olga_2 [115]

Answer:

141°

Step-by-step explanation:

39*2 = 78

360 - 78 = 282

282/2 = 141

7 0
3 years ago
Read 2 more answers
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