Tarzan loaded 45 trucks in 15 hours. Find his loading speed in trucks per hour

Answer:

Step-by-step explanation:

It’s A

The length of the altitude of the right triangle given is 6.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

The given triangle is an equilateral triangle.

All the sides are equal.

Each of the side = 4√3

Altitude divides one of the side in to two equal halves.

Using Pythagoras theorem,

Altitude = √(4√3)² - (2√3)²

             = √(16×3) - (4 × 3)

             = √48 - 12

             = √36

             = 6

Hence the altitude of the triangle is 6.

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Using the law of sines and relations in a right triangle, the ground distance AB is of:

AB = 3745 ft.

The ratios between the sine of an angle and the length of the opposite side to the angle are the same in a triangle.

The sum of the measures of the internal angles of a triangle is of 180º, hence the missing angle is of:

180 - (74 + 49) = 57º.

Then the bottom side of the blue triangle is found as follows:

sin(57º)/3300 = sin(74º)/x

x = 3300sin(74º)/sin(57º)

x = 3782 ft.

The ground distance can be found considering that:

Hence the ground distance is calculated as follows:

cos(8º) = AB/3782

AB = 3782 x cos(8º)

AB = 3745 ft.

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The slope for the first piece of the tax function is given as follows:

0.1.

The slope for the second piece of the tax function is given as follows:

0.2.

It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.

The slope of a linear function represents the rate of change of the output variable relative to the input variable.

For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:

m = 500/5000

m = 0.1.

For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:

m = 1000/5000

m = 0.2.

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Answer:

The answer is D (edited)

Answer:

1287

Step-by-step explanation:

93.22-16=77.22

77.22 devided by 0.06=1287

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

Answer:

Hello There Again. The correct answer is D.

Explanation: Why is D. Because 5x2=10 which everyone know that 5x2=10x3x1=30 So the best choice will be D.

Hope It Helps!

Answer:

A-the flour is 4 times as much. b- flour is double sugar

Answer:

There are a total of 20 presents, and 3 of them contain gems. Therefore, there are 20 - 3 = 17 presents that do not contain gems.

The probability of randomly selecting a present that does not contain a gem is 17/20 = 0.85 or 85%.

hope it helps you...

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³

To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.

To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.

Thus the volume is given as follows:

y = √(16 - x²)

V = ₋₄∫⁴ (√(16 - x²))² dx

V = ₋₄∫⁴ (16 - x²) dx

V = [16x - x³/3]₋₄⁴

V = (64 - 64/3 + 64 -64/3)

V = 256/3 unit³

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Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

A 32% mark up means that the price goes up by 32 percent. The way to find this is by finding 132% of $400.

1.32 x 400 = $528.

I hope this helps!

The price of the microscope after the markup of 32% at the store will be equal to $528.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

Price of microscope = $400

Markup percentage = 32%

Increase in price = 400 × 32/100

= $128.

Price after markup will be,

$400 + $128 = $528.

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Answer:

Area = 81; Side Length = 3

Step-by-step explanation:

The area of a square is the side lenght squared, and 9² is 81.

The side lengh can be found by taking the square root of the area. √9 = 3

The mean for the data items in the given frequency distribution is 4.152

To find the mean of the data items in the frequency distribution, we need to use the formula:

Mean = (Sum of (xi * fi)) / (Sum of fi)

where xi is the midpoint of the class interval and fi is the corresponding frequency.

So, we have

Mean = (3 + 12 + 15 + 20 + 20 + 30 + 21 + 16)/(3 + 6 + 5 + 5 + 4 + 5 + 3 + 2)

Evaluate

Mean = 4.152

Hence, the mean is 4.152

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The exact values of the given trigonometric functions are:

cos(330) = \(\sqrt{3}/2\) or 0.866

sin(330) = 1/2 or 0.5

To find the trigonometric values of cos(330) and sin(330) exactly, we can use the unit circle and the properties of the trigonometric functions.

In the unit circle, the angle of  330 degrees is equivalent to -30 degrees or \(-\pi/6\) radians. Since cosine is an even function, we know that \(cos(-\theta) = cos(\theta)\), so we can find cos(-30).

Using the special triangles and the reference angle of 30 degrees, we can determine the exact values:

cos(-30) = cos(30) = \(\sqrt{3}/2\)

Similarly, the sine of -30 degrees is the same as the sine of 30 degrees:

sin(-30) = sin(30) = 1/2

Therefore, the exact values are:

cos(330) = cos(-30)= cos(30) = \(\sqrt{3}/2\) or 0.866

sin(330) = sin(-30)= sin(30)= 1/2 or 0.5

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a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Answer:

D 1/40

Step-by-step explanation:

Yes the answer is D. 1/40

Edge 2021

Answer:

0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)

Step-by-step explanation:

The measure of angle O is 56 and the value of m and n are 8.1 in and 14.5 in respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The longest side is hypotenuse and it is the side facing the right angle. The other two sides are opposite and adjascent.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan,(tetha) = opp/adj

angle O = 180-(90+34)

= 180- 124

= 56°

To find m,

Tan 34 = m/12

m = Tan34 × 12

m = 8.1 in

using Pythagoras theorem to find n,

n= √8.1²+12²

n = √65.61+144

n = √209.61

= 14.5 in

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By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.

In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:

2x - 3y = -5      .......equation 1.

3x + y = -2          .......equation 2.

From equation 2, we have:

y = -3x - 2

By using the substitution method to substitute equation 3 into equation 1, we have the following:

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

2x + 9x + 6 = -5

11x = -5 - 6

x = -11/11

x = -1

For the value of y, we have:

y = -3x - 2

y = -3(-1) - 2

y = 1.

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The area of one face of the cube that has a volume of 3375 cubic inches is: 225 square inches.

A cube has equal edge length, and therefore has faces with the same area. The formula for finding the volume of a cube is given as:

Volume of cube = s³, where s is the side length of the cube.

Also, to find the area of one face of a cube, we would use the formula below:

Area of one face of a cube = s².

Given the following:

Volume of a cube = 3375 cubic inches

Find s as shown below:

s = ∛3375

s = 15 inches.

Therefore, we have:

Area of one face of a cube = 15² = 225 square inches.

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Answer:

2 hrs

Step-by-step explanation:

d / r = time

40 mi  / 20 m/hr = 2 hrs

Answer:

y= -3x + 2

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope, b is the y-intercept

The line crosses the y intercept at y = 2, so b is 2.

The line goes down three units and right one unit, which is -3/1, or just -3

Answer:  x+2

Step-by-step explanation:

It is not factorable through grouping method.   You can test for factors if you divide the factor and it goes in evenly (no remainder) then, it is a factor.

I will use synthetic division to test:

X-8:

8    |     1         -14        56       -64

     |                  8       -48        64        

           1          -6          8           0         =>no remainder so yes this is a factor

X+2:

-2   |     1         -14        56       -64

     |                 -2        32        -176        

           1         -16        88       -240       => remainder so NOT factor

X-2:

2    |     1         -14        56       -64

     |                  2       -24        64        

           1         -12        32           0        =>no remainder so yes this is a factor

X-4:

4    |     1         -14        56       -64

     |                  4       -40        64        

           1         -10         16           0        =>no remainder so yes this is a factor

Answer:

The answer is 35%

Step-by-step explanation:

If we add together 35 and 65 we get 100.  This means altogether there are 100 kids in her school.  Out of those 100 kids, 35 like scary movies.  We can write this as the fraction 35/100.  This is equivalent to 0.35 or 35%.

Answer:

35%

Step-by-step explanation:

35+65

= 100

\(\frac{35}{100} * 100\)

= 35%

Answer:

B I think

Step-by-step explanation:

Eight eighths in one cup. Took that and multiplied that and added the single eighth. Six sixths in one cup. Took that and multiplied that and added the single sixth again. Added the total up and got 10.2916666667. Rounded. Hope this helps!

Answer:

b

Step-by-step explanation:

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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