E
1)
AC = 9 cm
AB = 3 cm
DE = 20 cm
Angle ABC = angle CBD= angle BDE = 90°
20 cm
9 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
50°
А
D
→B
3 cm

Please could you could give me a step by step.

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.

Answer:

show the options

Step-by-step explanation:

.....................

Answer:

alternate exterior angles

Step-by-step explanation:

When two lines are crossed by another line (called the Transversal): Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

Step-by-step explanation:

4x + 3y = 9

Slope of line = -4/3

Slope of perpendicular to line = ¾

Equation of perpendicular:

y-3 = ¾(x+2)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

k stands for 1000

Answer:

Solution given:

12.2k - 4.000

12.2×1000-4.000

=12196 is your answer.

Answer:

q te ayude tu papá o mamá ajjajajajajajajajajajajajajajaja

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]

[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]

Now, the value of the angles,

[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]

[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]

Answer:

Part A = 91.125in²

Part B = 8 boxes

Step-by-step explanation:

Work is underlined

Normal text = explanation

Hey There!

What we want to do to find how many supply boxes can fit inside of the larger box is find the volume of the larger box and divide that by the volume of the supply boxes.

To find the volume of the supply boxes:

We are told that the supply box is in the shape of a cube.

That being said we can find the volume by using this simple formula

[tex]V=s^3[/tex]

where s = side length

The supply box has a side length of 4.5 so we just plug in 4.5 into the formula

[tex]V=4.5^3\\4.5*4.5*4.5=91.125[/tex]

So we can conclude that the volume of the supply box is 91.125 square inches.

Now to find the volume of the larger box.

The larger box is in the shape of a rectangular prism.

The volume of a rectangular prism can be found by multiply the width by the length by the height.

The box has the following dimensions:

width = 18 in

height = 4.5 in

length = 9 in

This means that the volume = 9 * 4.5 * 18

9 * 4.5 = 40.5

40.5 * 18 = 729.

so the volume of the larger box is 729 square inches.

Now we want to find how many little boxes can fit inside the larger box.

Like stated before this can be done by dividing the volume of the little boxes by the volume of the larger box

so # of supply boxes that can fit inside of the larger box = [tex]\frac{729}{91.125}[/tex]

Using a calculator: [tex]\frac{729}{91.125} =8[/tex]

Hence, 8 smaller boxes can fit inside of the larger box

Answer:

The restaurant cooked 3/10 as many cashews on Tuesday

Step-by-step explanation:

If the word problem says that they used 3/5 of a bag of cashews on Monday, and they used 1/2 AS MANY.

So "as many" gives us a clue to multiply.

3/5 * 1/2 = 3/10

So the restaurant cooks 3/10 bag of cashews on Tuesday

Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

[tex]a^{2}+ b^{2} = c^{2}[/tex], in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

[tex]9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP[/tex]

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

Learn more about circumference here:

brainly.com/question/14200825

#SPJ2

=======================================================

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.

Answer:

I can answer the type of angle: Acute

Step-by-step explanation:

It's less than 90 degrees, so it's [tex]acute.[/tex]

Answer:

78.54

Step-by-step explanation:

Answer:

Circumference of a circle in terms of radius:

Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)

In terms of diameter:

Circumference = π·d = 3.14·10 = 31.4 mm.(*)

In terms of area:

Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)

Step-by-step explanation:

Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.

Answer:

The answer is 17.4.

Step-by-step explanation:

Mean is the average of all the numbers. To do this, you have to add up all the numbers then divide by how many numbers there are.

First, let's add up all the numbers.

11+14+15+16+16+18+20+20+22+22 = 174!

Next, let's divide the numbers by how many numbers there are. There are 10 numbers in total.

174÷10 = 17.4

Hope this helps! :3

Answer:

17.4

Step-by-step explanation:

To find the mean of a data set, add all numbers. Then, divide the sum by how many numbers are present.

11 + 14 + 15 + 16 + 16 + 18 + 20 + 20 + 22 + 22 = 174

There are 10 numbers, so divide 174 by 10.

174 / 10 = 17.4

Therefore, 17.4 is the mean of the data set.

Answer:

75—the profit

Step-by-step explanation:

simply subtract the cost price from selling price

325-250=75

Answer:

$75

Step-by-step explanation:

Calculating profit or loss:

Selling price - Cost price

The profit or loss

= 325-250

= +$75

∴ It has a profit of $75.

Answer: n= -9

Step-by-step explanation:

5n-7=-52

5n = -52+7

5n=-45 (divide both sides)

n= -9

Answer:

33 units^2

Step-by-step explanation:

42 is the whole area and the triangle area is 9

so 42-9=33

Answer:

7x² - 6x + 4

Step-by-step explanation:

(4x² - x + 6) - (-3x² + 5x + 2)

4x² - x + 6 + 3x² - 5x - 2

4x² + 3x² - x - 5x + 6 - 2

7x² - 6x + 4

Answer:

20

Step-by-step explanation:

Subtract the 2 from the width of 7, and then multiply the height by the width.

4x5=20

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Answer:

A. 6(4a²-2)

Step-by-step explanation:

Got it correct… You’re welcome.

Answer:

32/24

Step-by-step explanation:

16 times 2 is 32

The value of a/b is 4/3.

The unitary method is used to find the value of a single unit from a given multiple.

One box has 16 apples.

One box has 24 lemons.

If 'a' is the weight of  box of apples and 'b' is the weight of box of lemons.

As each apples weigh 2 times the lemon

Weight of box of apples= 16*2*b=32b

Weight of lemon box = 24b

So, a/b

=32b/24b

=32/24

=4/3.

Hence, value of a/b is 4/3.

Learn more about unitary method here:

https://brainly.com/question/23423168

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Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

[tex]A=\frac{1}{2} Pa[/tex] where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

1) Find the perimeter

[tex]P=5l[/tex] where l is the side length

Plug in the side length 7.6 cm

[tex]P=5(7.6)\\P=38[/tex]

Therefore, the perimeter of the pentagon is 38 cm.

2) Find the area

[tex]A=\frac{1}{2} Pa[/tex]

Plug in the perimeter (38) and the apothem (5.2)

[tex]A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8[/tex]

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!