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Answer:

The measures of this complementary angles is:

45°

Step-by-step explanation:

Complementary angles sum 90°

∡A + ∡B= 90°

∡A = ∡B

Then:

∡A + ∡A = 90°

2∡A = 90°

∡A = 90/2

∡A = 45°

∡B = 45°

Based on the percentage of games played at home by the team, and the percentage win rate, the probability that the team wins is 63.05%

First, find the probability that the team wins playing at home:

= Percentage win rate at home x Percentage played at home

= 83% x 65%

= 53.95%

Then find the probability of winning away:

= Percentage win rate away x Percentage played away

= 26% x (1 - 65%)

= 9.1%

The probability the team wins is:

= 53.95 + 9.1

= 63.05%

In conclusion, the probability of the team winning at home and the probability of them winning away, can be summed up to find the probability of the team winning which is 63.05%.

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substitute the -5 in the place of x in the expression -2x-8 and simplify

[tex] = - 2( - 5) - 8 \\ = 10 - 8 \\ = 2[/tex]

[tex]f( - 5) = 2[/tex]

ATTACHED IS THE SOLUTION

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given fraction

STEP 2: Convert to decimal

Hence, the equivalent is 0.375

Answer: 75 per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

The stronger flavor of grape is in Tia's glass.

Given,

Martin's glass of grape drink has weaker tasting grape flavor

Tia's glass of grape drink has stronger tasting grape flavor

3 ounces of water is added to Martin's glass

One table spoon of grape mix is added to Tia's glass

We have to find the glass which contain the stronger grape flavor

Already in Martin's glass flavor is low. When we add water again to his glass, the flavor will again dissolves with water.

In Tia's glass grape flavor is stronger. By adding one tablespoon of grape mix the flavor will become more stronger.

That is,

The stronger flavor of grape is in Tia's glass.

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1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:

a) Note that there was no withdrawal during this first year.

b) To find out the amount of money over a course of this time 2 years, then we can write out the following:

In this case, it is also compounded per year. Just the period (t) is greater than the other one.

So, we can tell the following about the earnings of this investment:

Answer

θ = 37° 30'

Explanation:

The angle of depression has the same measure as the angle of elevation, so a trigonometric function that related the sides of the triangle and the angle of elevation θ is tangent. Then:

Therefore, the value of θ is:

So, in grades and minutes, we get:

θ = 37.50 = 37° 30'

Therefore, the angle of depression is 37° 30'

Given

To find the height of the tree.

Explanation:

It is given that,

From the figure, it is clear that ΔABC and ΔADE.

That implies,

Hence, the height of the tree is 100ft.

Based on the ratios of water consumed to the fruit juice consumed, the missing figures in the completed table would be:

The ratio of water gallons consumed to fruit juice gallons is equivalent which means that at their simplest, they will always have the ratio of 6 : 7 as is the case in the 5th grade.

The missing ratio for Juice in 6th grade is:

= (Water gallons x Juice gallons in 5th grade) / water gallons in 5th grade

= (24 x 7) / 6

= 28 gallons of fruit juice

The missing ratio for water in 6th grade is:

= (18 x 7) / 6

= 21 gallons of fruit juice

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The equations of each of the given lines are:

Line a is: x = -4

Line b is: x = 4

Line c is: y = 4

Line d is: y = -2

Line e is: y = -¾x + 1

If we determine the slope value, m, and the y-intercept value, b, the equation of a line can be written as y = mx + b in slope-intercept form by plugging in the values of the determined variables.

For a vertical line, the equation is expressed as x = b, where b is the x-intercept of the line.

For a horizontal line, the equation would be y = b, where b is the line's y-intercept value.

Equation of line a (vertical line):

The x-intercept is -4. This means that, the equation of line a is: x = -4

Equation of line b (vertical line):

The line's x-intercept is 4. To write the equation of the line, substitute the value of the x-intercept into x = b.

Therefore, the equation of line b is: x = 4

Equation of line c (horizontal line):

The y-intercept (b) = 4. Substitute the b = 4 into y = b.

The equation of line c is: y = 4

Equation of line d (horizontal line):

y-intercept (b) = -2. Substitute b = -2 into y = b.

Equation of line d is: y = -2

Equation of line e:

Slope (m) = rise/run = -3/4

y-intercept (b) = 1

To write the equation of the line, substitute m = -¾, and b = 1 in the equation y = mx + b

y = -¾x + 1

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The given statement can be written algebraically as follow:

3(7 - x)

3 means '3 is multipled by' and the factor (7-x) means 'the difference of seven and a number'

Answer:

10 meters per hour

Step-by-step explanation:

Velocity = Distance / Time

The vertical distance between the kite and stingray is 81 feet.

Given that, a kite is gliding 74 feet above sea level. There is a stingray coasting 7 feet below sea level.

Vertical distance or vertical separation is the distance between two vertical positions. Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.

The vertical distance between the kite and stingray is

74-(-7)

= 74+7

= 81 feet

Therefore, the vertical distance between the kite and stingray is 81 feet.

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Answer:

7

Step-by-step explanation:

24 with four scoops is 6 with one scoop and 6 times 7 is 42 so 1 times 7 is 7 so the answer is 7 scoops

Answer:

.1

We have 20 marbles.

Probability of blue marble = 8/20 = .4

Since the blue marble is put back, we still have 20 marbles.

Probability of green marble = 5/20 = .25

Multiplying these probabilities:

.4 × .25 = .1

Solution:

Consider the following injective function:

this is equivalent to:

by cross-multiplication, this is equivalent to:

now, applying the distributive law, we get:

this is equivalent to:

Applying the common factor, we get:

this is equivalent to:

solving for x, we get:

so that, we can conclude that the correct answer is:

Answer:

His commission is 104$.

Step-by-step explanation:

1. Find 20% of 520$, which is 104$.

That's the answer! Please mark me as the brainliest!

The current exchange rate is 1 US dollar = 1 euro.

The exchange rate of a currency is the worth of one currency in respect to another, or the rate at which one currency will be exchanged for another.

The foreign exchange market, commonly known as Forex or FX, is a global decentralized market for currency trading that determines the exchange rates of such currencies.

A currency exchange rate is the rate at which one currency can be exchanged for another. In other words, the exchange rate is the price of one currency in terms of another.

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Hello!

First, let's remember:

In an ordered pair, we will have two variables represented as (x, y).

In the first two ordered pairs, the exercise informed the value of x. In the third ordered pair, it informs the value of y. We will solve it in a similar way, look:

x = 7/2 or also x = 3.5.

The total earnings for the week for the same wage per hour is $501.6.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For 5 of working earnings is $76

Hourly rate = 76 / 5 = $15.2 per hour
Now for 33 hours of working in a week,
Earning = 15.2 * 33 = $501.6

Thus, the total earnings for the week for the same wage per hour is $501.6.

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Answer:

Step-by-step explanation:

2x+4y=32

Get Y on one side of equation by itself

(subtract 2x on both sides)

leaves           4y = 32 - 2x

Divide by 4 to get Y alone (without coefficient)

4y = 32 - 2x

         4

y = 8 - 1/2x

Answer:)0.3 I Think

Step-by-step explanation:

1.8/6

The answer is:

10.8 cm

Explanation:

6 × 1.8 = 10.8

- firstly, remove the decimal point

- Secondly, multiply regularly 6 by 18

- You'll get 108 as an answer

- Take back the decimal point one to the left because you took it one to the right before, so you will have to do the inverse of the previous action

Good luck

Given that

Then,

Therefore, the statement

The following examples are shown below:

In this problem we have to present five types of real numbers, which are defined and shown below:

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According to the factor theorem, if "a" is any real integer and "f(x)" is a polynomial of degree n larger than or equal to 1, then (x - a) is a factor of f(x) if f(a) = 0.Finding the polynomials' n roots and factoring them are two of their principal applications.

Calculate p(x(*r(x)?

I This theorem comes in very handy when we need to determine the determinant's value in "factors" form.

p(x) =5x

r(x)  = 3x  - 7

p(x)×r(x) =

=5x(3x-7)

5x²  -  7

2×15x²-1

=  30x

p(x)*r(x)  =   30x

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The total money spent on fruits is $7.03

While at  the fruit stand, Ramon bought the following fruits,

3 pounds of apples that cost $0.89 per pound

4 cantaloupes that each cost $1.09

So, the total amount he spent on the materials he bought without including taxes is,

Total money spent = 3 x ( 0.89 ) + 4 x ( 1.09 )

                                = 2.67 + 4.36

                                = 7.03

The total money spent on fruits is $7.03

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