Which value is a solution of the equation 8y=56?

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer:

[tex]2\sqrt{2} \text{ mi}[/tex]

Step-by-step explanation:

See the attached image for a picture of the situation.  The angle of depression lets you find the angle next to it but inside the triangle.  It, too, must measure 45 degrees.

That means the triangle is an isosceles triangle (two legs of equal length).

Apply the Pythagorean Theorem.

[tex]x^2+x^2=4^2\\2x^2=16\\x^2=18\\x=\sqrt{8}=2\sqrt{2}\approx 2.83\text{ mi}[/tex]

Answer:

[tex] \displaystyle 172.1 ft[/tex]

Step-by-step explanation:

refer the attachment

let the string be hypotenuse and

the height be h And the angle be 35°

given that,

since we are given the hypotenuse and want to figure out the opposite side we'll use sin function

so our equation would be

[tex] \displaystyle \sin( {35}^{ \circ} ) = \frac{h}{300} [/tex]

cross multiplication:

[tex] \displaystyle h= 300 \sin( {35}^{ \circ} ) [/tex]

by using calculator we obtain:

[tex] \displaystyle h = 172.1[/tex]

hence,

about 172.1ft far up the tree is the kite

Hope this help!!!

Have a nice day!!!

Answer:  [tex]\frac{204}{1279}[/tex]

Step-by-step explanation:

Formula for intersection:

n(A and B) = n(A)+n(B)-n(A or B)

Given: n(Slingshot) = 247

n(Scream Flyer)= 237

n(Slingshot or the Scream Flyer) = 280

n (Slingshot and Scream Flyer)= 247+237-280

=204

Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]

P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]

Required probability = [tex]\frac{204}{1279}[/tex]

Answer:

[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]

Step-by-step explanation:

Simplify each term.

Answer:

16 ft

Step-by-step explanation:

Area = Side^2 = (s)^2 = 256, Side = 16.

So, 16 ft.

Mark this as Brainliest if this was correct! I really appreciate it! :D

Answer:

16ft

Step-by-step explanation:

Answer:

sinx = e/f

cosx = d/f

tanx = e/d

Step-by-step explanation:

soh cah toa

sin= opposite/hypotenuse

cos= adjacent/hypotenuse

tan= opposite/adjacent

Answer:

its do9ne

Step-by-step explanation:

Answer:

its the one next to the yellow one. hope it helps.

Step-by-step explanation:

Answer:

∴[tex]Cos A=\frac{AC}{AB}[/tex]

➛ [tex]Cos30=\frac{x}{12\sqrt{3} }[/tex]

➛ [tex]\frac{\sqrt{3} }{2} =\frac{x}{12\sqrt{3} }[/tex]

➛[tex]x=12\sqrt{3}*\frac{\sqrt{3} }{2}[/tex]

➛ [tex]x=18[/tex] ✓

➛[tex]AC=18[/tex] ✓

----------------------

hope it helps...

have a great day!!

Answer:

45°, 110° & 25°

Step-by-step explanation:

We know,

x + 25° + x +65° = 180° (∵Sum of all interior angles of a triangle is 180)

or, 2x + 90 = 180°

or, 2x = 90°

∴ x = 45°

Now,

∡A = x° = 45°

∡B = x +65° = 45° + 65° = 110°

Answer:

1 hour or 60 minutes.

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

Answer:

3 and 5 show how to convert 18 inches into yards

Answer:

Numer 3 and number 5.

Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

Credit goes to: https://brainly.com/app/profile/13544493/answers

Answer:

here hereh ehreh ehe

Step-by-step explanation:

Answer:

angle R = 37

angle Q= 114

angle p = 29

Step-by-step explanation:

(3x+3) +(x-8) +(x) =180

5x-5=180

x=185/5

x=37

Answer:

x = 8

Step-by-step explanation:

It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.

30 ÷ 25 = 1.2

Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;

1.2 (35) = 4x + 10

Simplify,

42 = 4x + 10

Inverse operations,

42 = 4x + 10

32 = 4x

8 = x

Answer:

Step-by-step explanation:

Use proportions to solve this and the similarity from smaller side to corresponding larger side:

[tex]\frac{s}{l}:\frac{25}{30}=\frac{35}{4x+10}[/tex] and cross multiply to solve for x:

1050 = 25(4x + 10) and

1050 = 100x + 250 and

800 = 100x so

x = 8

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/[tex]\sqrt{2}[/tex]=x/4(do cross multiplication)

x[tex]\sqrt{2[/tex]=4

x=4/[tex]\sqrt{2}[/tex]

x=2[tex]\sqrt{2}[/tex]

Answer:

0.06 liters

Step-by-step explanation:

acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.

so, 100 units are 0.2 liters in this example.

that means that 65/100 × 0.2 = 0.13 liters are acid.

35/100 × 0.2 = 0.07 liters are water

we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).

the account of acid remains the same, as we are only adding water.

so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?

0.13 - 0.07 = 0.06 liters

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

Answer:

Step-by-step explanation:

radius=3 in.

diameter=2r

=2*3

=6 in.

Radius = 3 inches

Diameter = 6 inches

The given radius is 3 inches.

We know that diameter is twice the radius. So,

Diameter = 2r

= 2×3

= 6 inches

Answer: n-8

Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.

I hope this helps, have a nice day.

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

The area of the base of the first sandbox is 64 square feet

Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.

The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.

The area of a square is given by the formula: A = s², where s is the length of one side of the square.

In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:

A = 8² = 64 square feet.

So, the area of the base of the first sandbox is 64 square feet

To know more about an area follow

https://brainly.com/question/29204021

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Answer:

add 33 to both sides

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] x - 33 = 33 ( add 33 to both sides )

- [tex]\frac{1}{2}[/tex] x = 66 ( multiply both sides by - 2 to clear the fraction )

x = - 132

Answer:

First step is to make x the subject of the equation.

Step-by-step explanation:

[tex]-\frac{1}{2} x - 33 = 33\\\\-\frac{1}{2} x= 33 + 33\\\\-\frac{1}{2} x = 66\\\\- x = 2 \times 66 = 132\\x = -132[/tex]

Answer:

C. 8.66 in

Step-by-step explanation:

Using the formula of circumference of a circle

[tex]2\pi \: r [/tex]

then,

first find r by plagging in the given data.

so, r = 4.33 in

since it's diameter needed, then

r + r = d

4.33 in + 4.33 in = 8.66 in

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The general form of the equation of a circle is

(x-h)^2+(y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x-0)^2+ (y-0)^2 = 10^2

x^2 + y^2 = 100

Answer:

n = 6

Step-by-step explanation:

f(n) = 0 is on the n- axis at (6, 0 )

When f(n) = 0 then n = 6

Answer:

x = -4

Step-by-step explanation:

-18 = 6+6x

-18 -6 = 6x

-24 = 6x

-24/6 = x

x = -4

Checking Part:

-18 = 6 + 6x

-18 = 6 + 6(-4)

-18 = 6 -24

-18 = -18

Answer:

-4

Step-by-step explanation:

Subtract 6 to get X by itself and that leaver you with - 24=6x now divide by 6 to get x=-4

Hope this helps