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Answer:

x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

3(x - 2) + 8 = 2(x + 5)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

Answer:

[tex]Tree = 17ft[/tex]

Step-by-step explanation:

Given

[tex]Wall = 4ft\ 3in[/tex]

[tex]Wall\ Shadow = 6ft[/tex]

[tex]Tree\ Shadow = 24ft[/tex]

Required:

Determine the height of the tree

To do this, we make use of the following equivalent ratios

Wall : Wall Shadow = Tree : Tree shadow

Substitute values for Wall, Wall Shadow and Tree Shadow

[tex]4ft\ 3in : 6ft = Tree : 24ft[/tex]

Convert all units to ft

[tex]4ft+ 0.25ft : 6ft = Tree : 24ft[/tex]

[tex]4.25ft : 6ft = Tree : 24ft[/tex]

Convert to fractions

[tex]\frac{4.25ft}{6ft} = \frac{Tree }{ 24ft}[/tex]

Cross Multiply

[tex]Tree * 6ft = 4.25ft * 24ft[/tex]

[tex]Tree * 6ft = 102ft^2[/tex]

Make Tree the subject

[tex]Tree = \frac{102ft^2}{6ft}[/tex]

[tex]Tree = \frac{102ft}{6}[/tex]

[tex]Tree = 17ft[/tex]

Hence, the tree is 17ft tall

Answer:

[tex]\displaystyle d = \sqrt{65}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

P1 (4, -5) → x₁ = 4, y₁ = -5

P2 (3, 3) → x₂ = 3, y₂ = 3

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

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Step-by-step explanation:

Answer:

The correct answer is 10 and 11.

9514 1404 393

Answer:

  27/36

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

  tan C = AB/CB

  tan C = 27/36

Answer:

d = 2

Next 3 terms = 4, 6 and 8

Step-by-step explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn  = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8

Answer:

c. 30

Step-by-step explanation:

Reference angle = [tex] /theta [/tex] = ?

Hypotenuse = 23

Adjacent side = 20

Thus, applying CAH:

[tex] Cos(/theta) = \frac{adj}{hyp} [/tex]

[tex] Cos(/theta) = \frac{20}{23} [/tex]

[tex] /theta = cos^{-1}(\frac{20}{23}) [/tex]

[tex] /theta = 29.5918458 [/tex] ≈ 30° (nearest degree)

Answer:

We can convert any measuring unit to another by multiplying it by a very special ratio (or ratios) that equals ONE. We can form these special ratios from the conversion factors. For example, 1 ft = 12 in is a conversion factor, and we can write from it the ratios 1 ft/12 in and 12 in/1 ft, which both equal 1.

Answer: You can convert any measuring unit to another by multiplying it by ratios that equals one.

Step-by-step explanation:

Answer:

64/27 = 2.37037037

Step-by-step explanation:

(4/3)^3

Calculate 4/3  to the power of 3 and get 64 /27

64/27

​  

Answer:

H0 : μ = 15

H1 : μ < 15

−6.170774

Step-by-step explanation:

Given :

n=115, barx =11.3, and s=6.43

H0 : μ = 15

H1 : μ < 15

−0.053658 ;

The test statistic :

(xbar - μ) ÷ s/sqrt(n)

(11.3 - 15) ÷ (6.43/sqrt(115))

Test statistic = −6.170774

Rejection region :

Reject Null ; if

Tstatistic < Zcritical

The P value is 0.00001 ; using the p value from Z calculator

Since,

P value < α

0.00001 < 0.05

Reject the null

Answer:

13 is the answer (GE) i hope this helped

Answer:

L = length

W = width

L = 2(2W + 8)

W = 2W

Perimeter: 96 = 4W + 16 + 2W

96 = 6W + 16

80 = 6W

13.33 = W

Plug this into the equation:

2(13.33) + 8

26.67 + 8 or 34.67 = L

Step-by-step explanation:

Answer:

I belive that the answer is D because there is 2 items and if u count the different colors by 1 it would be 6

Answer:

√64

Step-by-step explanation:

In mathematics, an expression involving the root (√) sign is regarded as a radical.

64^(1/2)

This is the same as;

√64

- √(1/2&64) This option is wrong.

- √64 This option is correct

- 1/2 √64  This option is wrong.

- 8 This option is wrong.

Answer:

false

Step-by-step explanation:

`Slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{-2}{1}[/tex]. So, it is false.

Answer:

False

Step-by-step explanation:

Slope = Change in y/ Change in x

=(1-3)/(2-1)

=-2

its the 3rd answer 26V3

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1) 65.1

2) 3.4

Step-by-step explanation:

sorry I can't explain well but those are the answers

Answer:

Step-by-step explanation:

area of rectangle = 8×5 = 40 cm²

area of semicircle = ½×π4² = 8π cm²

total area = 40 + 8π ≅ 65.1 cm²

:::::

area of circle = π2² = 4π in²

area of square = 4⁴ = 16 in²

blue area = 16 - 4π ≅ 3.4 in²

Answer:

B and E

Step-by-step explanation:

✔️The triangle given has 3 unequal angles and 3 unequal side lengths. A scalene triangle has unequal angles and side lengths. Therefore, the triangle above is a scalene triangle.

✔️Each of the 3 angles of the triangle is less than 90°. An acute triangle has each of its 3 interior angles measuring less than 90°. Therefore the given triangle above is an acute triangle.

Answer:

Step-by-step explanation:

y + 8 = 3/4(x - 8)

y + 8 = 3/4x - 6

y = 3/4x - 14

Answer:

its d)x=3.

Step-by-step explanation:

If we're finding the extrema using the vertex then its x=3

Answer:

16 Gallons

Step-by-step explanation:

x = 25% gallon amount

.25 x   +  .12 (10)   =     .20 (10+x)

.05x = .8

x = 16 gal of 25%

The number of gallons of acid solution that should be added to 10 gallons of a 12% acid solution to obtain a 20% acid solution is 16.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

The percentage of acid in gallon solution = 25%,

The percentage of acid in 10 gallons = 12%

Suppose there are x total gallons,

Write the equation as shown below,

25% of (x - 10) + 12% of 10 = 20% of x

0.25 × (x - 10) + 0.12 × 10 = 0.2x

0.25x - 2.5 + 1.2 = 0.2x

0.25x - 0.2x = 2.5 - 1.2

x = 1.3 / 0.05

x = 26

Thus, the number of gallons of 25% acid solution = 26 - 10 = 16.

To know more about equation:

https://brainly.com/question/12788590

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The possible value of k such that √50 and √k can be written as a single term is; 50

Since √50 and √k are equal as described in the question;

√50 = √k.

The question requests that we determine What is the possible value of k such that √50 and √k can be written as a single term.

The possible value of k is therefore; 50.

Read more;

https://brainly.com/question/11388449

Answer:

He runs 6.5 km in one hour.

Step-by-step explanation:

3 ¼ km per half hour = 6.5 km per hour.

Answer:

12 2/3

Step-by-step explanation:

there are 4 quarters to 1 hour

3 1/6 x 4 =  

19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour

pls mark brainliest

9514 1404 393

Answer:

  120°

Step-by-step explanation:

There are several ways you can redraw this figure to help you find the value of x. One of them is to draw a line perpendicular to the parallel lines, intersecting the vertices of the given angles*. Then the interior angles of the triangle formed will be ...

  125° -90° = 35°

  115° -90° = 25°

The angle that is a vertical angle with x is the third angle of the triangle, so its measure is ...

  x = 180° -35° -25° = 120°

The value of x is 120°.

Answer:

not sure

Step-by-step explanation:

Answer:

Number of people lived in Texas =  2,242,200

Step-by-step explanation:

Given:

People per square mile = 3,737

Area of Texas = 600 square mile

Find:

Number of people lived in Texas

Computation:

Number of people lived in Texas = People per square mile x Area of Texas

Number of people lived in Texas = 3,737 x 600

Number of people lived in Texas =  2,242,200

Answer:

11/8

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

20 - 9 = 11

12 - 4 = 8

slope = 11/8