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3 years ago

45 Points, Question 2 In Attachment. Asap if possible.

Mathematics

1 answer:

Masja [62]3 years ago

4 0

Answer: x = $\frac{-5}{2}$

Step-by-step explanation:

$3^{4x-5}$ = $(\frac{1}{27}) ^{2x+10}$

1/27 can be written in index form as $3^{-3}$

The equation then becomes:

$3^{4x-5}$ = $(3^{-3})^{2x+10}$

Equating the coefficient

4x - 5 = -3 ( 2x + 10)

4x - 5 = -6x - 30

10x = -30 + 5

10x = -25

x = -25/10

x = -5/2

x = - 2.5

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What is the area of this trapezoid? Enter your answer in the box. <br><br>

qwelly [4]

Answer:

357 cm2

Step-by-step explanation:

The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!

4 0

2 years ago

Use the information in the diagram to determine the height of the tree to the nearest foot.

algol13

Answer:

The correct option is A. The height of tree is 60 ft.

Step-by-step explanation:

From the given figure it is noticed that the building is creating a right angle triangle from a point and the tree divides the hypotenuse and base in two equal part.

According to midpoint theorem of triangle: In a triangle, if a line segment connecting the midpoints of two sides, then the line is parallel to third side. The length of line segment is half of the length of third side.

Using midpoint theorem of triangle, we can say that the length of tree is half of the building.

$Tree=\frac{1}{2}\times Building$

$Tree=\frac{1}{2}\times 120$

$Tree=60$

Therefore correct option is A. The height of tree is 60 ft.

5 0

3 years ago

The fence is 68 feet long and 1/2 feet thick. 7 feet of space is between each post. How many posts are used for the fence. I thi

kolezko [41]

Answer:

We could say 10

Step-by-step explanation:

1) Remove unneeded info

2) Divide the length by the distance between posts

68/7

3) Will give you a decimal but ro7nd up to 10

8 0

3 years ago

Find the distance between points A(2,3) and B(5,9) round to the nearest tenth

olya-2409 [2.1K]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}\\\\ \mathsf{d=\sqrt{(5-2)^2+(9-3)^2}}\\\\ \mathsf{d=\sqrt{(3)^2+(6)^2}}\\\\ \mathsf{d=\sqrt{9+36}}\\\\ \mathsf{d=\sqrt{45}}\\\\ \mathsf{d=6.7082039324993690892275210061938...}\\\\ \underline{\mathsf{d\approxeq6.7}}$

The answer is 6.7 uc.

4 0

3 years ago

The [Detroit] Pistons did not lose because of the lack of ability. They are an all-around better team. They lost because of the

Alex Ar [27]

Answer:

The Pistons lost due to the law of averages

Step-by-step explanation:

Premise 1: The Detroit Pistons are a better all-around team than the San Antonio Spurs

Conclusion 1: The Pistons did not lose [ the 2005 NBA finals ] due to lack of ability.

Premise 2: The Pistons will beat the Spurs two out of three times, and the Spurs will beat one out of three times

Premise 3: The Pistons won the series ' 5th and 6th games — two in a row, and if they had won the final game they would have won three out of three.

Conclusion 2: The Pistons lost due to the law of averages

8 0

3 years ago