Simplify. Express using exponents. (10t4v5)(3t2v5)

Answer:

a≈18 cm

Step-by-step explanation:

     we have given:

an angle,

the adjacent side and

     we need to find:

the opposite side

we know that the definition of

tan of an angle = opp. side/ adj. side

              tan 61° = a/ 10

multiply both sides by 10

        10 * tan61° = a

   18.04047755 = a

                      18 ≈ a

Answer:

Pietro has $5.5 more than Eliana

Step-by-step explanation:

attached

Answer:

36 years

Step-by-step explanation:

Tom's age : Nephew's age = 3 : 1

Tom's age = 3x

His nephew's age = x

Difference of age = 24 years

3x - x = 24

2x = 24

Divide both sides by 2

x = 24/2

x = 12

Tom's age = 3*12 = 36

Answer:

]-3,7[

Step-by-step explanation:

the domain is from -3 to 7

Answer:

Step-by-step explanation:

Astronomers were trying to find the weight of six planets - Mars, Venus, Pluto, Jupiter, Mercury and Saturn. The number of planets lighter than Mars was equal to the number of planets heavier than Venus. Saturn was heavier than Mars and Mercury was heavier than Pluto. Venus was lighter than Mars. Saturn was not the heaviest planet.

Answer:

-6-4(-6)+8

-6+24+8

-6+32

26

Answer:

y=7

Step-by-step explaynation:

Step-by-step explanation:

which angle ? all of them ?

in such a case of intersection the various angles are mirrored or have to fulfill the complementary 180 degree criteria.

when we look either on the top or the bottom of the intersected line, there is always a half circle that can be drawn with its center in the intersection point.

therefore, the sum of such 2 neighboring angles (like 1 and 43 degrees) must be 180 degrees. the same for 2 and 3.

at the same time 2 is a mirrored version of 43 degrees, and 3 is a mirrored version of 1.

so,

1 + 43 = 180

1 = 137 degrees

2 = 43 degrees

3 = 137 degrees

Answer:

DO NOT CHEAT

Step-by-step explanation:

IT'S HARAM >:(

Answer:

0.41

Step-by-step explanation:

Unit = 5/12

Unit = 0.41 runs per inn innings

Answer:

x=7

Step-by-step explanation:

5x+55=90

5x+55−55=90−55

5x=35

x=7

Answer: 187.50 for 5 hours

I believe that's how they want it done.

200-(99.01+98.32)

200-197.33

2.67 left in change

Hello :D

2 x $100 = $200

$99.01 + $98.32 = $197.33

$200 - $197.33 = $2.67

The answer is $2.67. I hope this helps :)

Answer:

CD = 38

Step-by-step explanation:

Answer

BC = CD

And,

BC + CD = BD

8x + 8 + 6x - 28 = 10x + 24

14x - 20 = 10x + 24

14x - 10x = 24 + 20

4x = 44

x = 44/4

x = 11

CD = 6(11) - 28

66 - 28

38

Answer:

CD = 38

Step-by-step explanation:

We know that BC and CD will add up to equal BD so we can create a equation and solve for x.

(8x + 8) + (6x - 28) = 10x + 24

~Combine like terms

14x - 20 = 10x + 24

~Add 20 to both sides

14x = 10x + 44

~Subtract 10x to both sides

4x = 44

~Divide 4 to both sides

x = 11

~Now substitute into CD

6(11) - 28

66 - 28

38

Best of Luck!

Answer:

-m - 4n + 15

Step-by-step explanation:

- (m + 4n - 15)

-m - 4n + 15

Answer:

b ≈ 43 yd

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan28° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{23}{b}[/tex] ( multiply both sides by b )

b × tan28° = 23 ( divide both sides by tan28° )

b = [tex]\frac{23}{tan28}[/tex] ≈ 43 yd ( to the nearest whole number )

Answer:

60%

Step-by-step explanation:

You see how many answers she got got right and to do that you subtract 170-68 and get 102. That's how many she answered correctly. Then you need to find the percentage and to do that you divide 102 by 170 which gives you 0.6, which can be read as 60%. Hope that helps! :)

Answer:

-3 because 7 is less than 10.

Answer:

Option C

Step-by-step explanation:

Sum of two angle in complement = 90

Let the other angle be a

a + 5x + 13 = 90

a = 90 - (5x + 13)

a = 90 - 5x - 13

a = 77 - 5x

The measure of the compliment of ∠K is ∠ J = (77 − 5x)°.

We have a angle - ∠K = (5x+13)°.

We have to find the Complement of ∠K.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

∠X + ∠Y = 90

According to the question, we have -

The measure of angle ∠ K = (5x+13)°.

Assume that the complement of ∠K is ∠ J.

Then -

∠ K + ∠ J = 90

∠ J  = 90 - ∠ K

∠ J = 90 - (5x + 13)

∠ J  = 90 - 5x - 13

∠ J  = 77 - 5x

∠ J = (77 − 5x)°

Hence, the measure of the compliment of ∠K is ∠ J = (77 − 5x)°

To solve more questions on Complement and Supplement of angles, visit the link below -

https://brainly.com/question/28353442

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Answer:

Hi, There!

B. ∠ABC

Step-by-step explanation:

points should be given in order, with the vertex of the angle in the middle. B is the only option that has the letters in the right order.

Answer:

a.7<

b.2

c.<11

d.<14

Step-by-step explanation:

pls guve me braniest plss foloow me

Answer:

x = 9

Step-by-step explanation:

8x - 10 = 7x -1

x = 9

hope that helps

Answer:

x = 61°

Step-by-step explanation:

Since the angles of 125° and 64° + x° are opposite each other in the same intersecting lines, they are equal.

Therefore, we could say that:

[tex]125 = 64 + x[/tex]

Now all we have to do is solve for x, by subtracting 65 from both sides of the equation:

[tex]125-64 = 64 + x-64\\x = 125-64\\x=61[/tex]

Answer:

A and C

Step-by-step explanation:

Keeping A constant and increasing B.

increasing A and keeping B constant.

The correct option is (A) and (C)

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

A^B(B +2)

As, both are in ratio of multiplication and B is also the power for A.

There is no possible of decreasing the quantity.

Hence, if A is constant then B increasing and B is constant then A is increasing .

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

Answer:

-2

Step-by-step explanation:

(-1/2)³ ÷ (1/4)²

(-1/8) ÷ 1/16

-1/8 × 16/1

-2

Answer:

2

Step-by-step explanation:

| (-½)³ ÷ (¼)² | = | (-1/8) ÷ (1/16)|

= | (-1/8) × (16/1)|

= | -2 |

= 2

Answer:

option

and

are the correct ones

Answer:

option

1

Step-by-step explanation:

answer is option 1

Answer:

see explanation

Step-by-step explanation:

Expressing ratios in fractional form, then

[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] = [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{6}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{5}{3}[/tex] = [tex]\frac{5}{9}[/tex]

That is a : c = 5 : 9

Answer:

[tex]\boxed {\boxed {\sf m= \frac{1}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of a line that passes through 2 points. The slope tells us the steepness and direction of a line. It is calculated using the following formula:

[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]

In this formula, (x₁ , y₁) and (x₂, y₂) are the points the line passes through. The points are (4,4) and (10,7). If we match the value and the corresponding variable we see that:

Substitute the values into the formula.

[tex]m= \frac{7-4}{10-4}[/tex]

Solve the numerator.

[tex]m= \frac{3}{10-4}[/tex]

Solve the denominator.

[tex]m= \frac{3}{6}[/tex]

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

[tex]m= \frac{3/3}{6/3}[/tex]

[tex]m= \frac{1}{2}[/tex]

The slope of the line that passes through (4,4) and (10,7) is 1/2.

Answer:

a(n) = 4⁽ⁿ⁻¹⁾ is the answer :))))) goodluck!

Step-by-step explanation:

a₁ = 1 = 4⁰

a₂ = 4 =4¹

a₃ =4 x 4=4²

a₄ =4 x 4² =4³

a(n) = 4⁽ⁿ⁻¹⁾