Given right triangle XYZ with altitude WZ, let WY = 10 cm and XY = 13 cm. Find the
length of WZ.
A.5.4
B.11.4
C.7.3
D.3

Answer: Just use a calculator.

Step-by-step explanation:

Answer:

i dont see angle S

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

3x + 12 + 5x + 8=180

8x + 20= 180

8x= 160

x= 20

Angle S:

5x + 8

5(20) + 8

100 + 8

108

Answer:

Step-by-step explanation:

Step-by-step explanation:

I try my best I not a math expert

Marcie's monthly payment will be $360.88.

To calculate the monthly payment, we can use the formula for the present value of an annuity:

PV = Pmt  [(1 - (1 + r)⁻ⁿ) / r]

where PV is the present value of the loan, Pmt is the monthly payment, r is the monthly interest rate, and n is the number of months.

First, we need to convert the annual interest rate to a monthly rate:

r = 0.0875 / 12 = 0.007292

Next, we need to calculate the total number of payments:

n = 5 x 12 = 60

Now, we can solve for Pmt:

PV = 18000

Pmt = PV x r / (1 - (1 + r)⁻ⁿ)

Pmt = 360.88

Therefore, Marcie's monthly payment will be $360.88.

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Hakeem bought 8 apples and 4 bananas worth 11.60 at the grocery store.

Let's assume the number of bananas that Hakeem bought is x.

Since Hakeem bought twice as many apples as bananas, the number of apples he bought would be 2x.

The cost of each apple is 1, so the total cost of apples would be 2x dollars.

The cost of each banana is 0.90, so the total cost of bananas would be 0.9x dollars.

According to the given information, the total cost of apples and bananas is

\($11.60.\)

Therefore, we can set up the equation:

2x + 0.9x = 11.60

Combining like terms:

2.9x = 11.60

Dividing both sides by 2.9:

x = 11.60 / 2.9

x = 4

Hence, Hakeem bought 4 bananas and twice as many apples, which would be

2 (4) = 8 apples.

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Hakeem bought 8 apples and 4 bananas worth 11.60 at the grocery store.

Let's assume the number of bananas that Hakeem bought is x.

Since Hakeem bought twice as many apples as bananas, the number of apples he bought would be 2x.

The cost of each apple is 1, so the total cost of apples would be 2x dollars.

The cost of each banana is 0.90, so the total cost of bananas would be 0.9x dollars.

According to the given information, the total cost of apples and bananas is 11.60.

Therefore, we can set up the equation:

2x + 0.9x = 11.60

Combining like terms:

2.9x = 11.60

Dividing both sides by 2.9:

x = 11.60 / 2.9

x = 4

Hence, Hakeem bought 4 bananas and twice as many apples, which would be.

2 (4) = 8 apples.

To know more about Hakeem bought 8 apples and 4 bananas worth 11.60 at the grocery store.

Therefore, we can set up the equation:

2x + 0.9x = 11.60.

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Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

Answer:

o

Step-by-step explanatioon:

The coordinates are  (-1, 10).

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).

Given:

the point is (-8, 3) whose image point is (-5, 2)

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

 X - (-6, 5) = (4, 4) -(-1, -1)

 X = (4, 4) -(-1, -1) +(-6, 5) = (4+1-6, 4+1+5)

 X = (-1, 10)

Hence, the point is (-1, 10)

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Using unitary method, the  weight of 3 loves of bread = 1362 grams

The correct answer is an option (c)

Let us assume that m represents the weight of a loaf of bread.

Here, a loaf of bread weighs 454 grams.

So, the value of m = 454 grams

We need to find the weight of 3 loves of bread.

Let us assume that n represents the weight of 3 loves of bread.

Using unitary method the  weight of 3 loves of bread would be,

⇒ n = 3 × m

⇒ n = 3 × 454

⇒ n = 1362 grams

Therefore,  the  weight of 3 loves of bread would be 1362 grams

The correct answer is an option (c)

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The complete question is:

A loaf of bread weighs 454 grams. how much would 3 loaves of bread weigh?

a) 1,364 grams

b) 1,632 grams

c) 1,362 grams

d) 1,327 grams

Answer: Well 2 x 23 = 46, So the 23rd floor

Step-by-step explanation: :)

════════ ∘◦❁◦∘ ════════

════════════════════

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

Equation of the line (y = mx + c)

════════════════════

#First, you find the gradient (m)

\(m = \frac{y2 - y1}{x2 - x1} = \frac{(( - 8) - 2)}{(( - 6) - 6)} = \frac{( - 10)}{( - 12)} = \frac{5}{6} \)

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

Answer:

The answer is 12V3 60°

Hope I help you

Answer:

length = 15x + 6

Step-by-step explanation:

given the length is 3 times the width, then

length = 3(5x + 2) ← distribute parenthesis by 3

          = 15x + 6

Answer:

I hope you will get help from these...

Answer:

h (5) = -4 .........

Answer:

0.12 x (x + 3000) = 4200

equation for her salary last year : last year's salary = (4200 / 0.12) - 3000

$32,000

Step-by-step explanation:

Let x = last year's salary

this year's salary = 3000 + x

this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200

to find last year's salary, make x the subject of the formula

4200 / 0.12 - 3000 = x

x = $32,000

The coefficient of static friction between the coin and the turntable is 0.085.

(a) The centripetal force required to keep the coin moving in a circular path is provided by the force of static friction between the coin and the turntable.

When the coin is stationary relative to the turntable, the centripetal force is equal to the maximum static friction force.

The centripetal force is given by:

\(\(F_c = \frac{mv^2}{r}\)\)

In this case, the coin is stationary relative to the turntable, so the centripetal force is equal to the maximum static friction force:

\(\(F_c = f_{\text{static max}}\)\)

Therefore, we can write:

\(\(f_{\text{static max}} = \frac{mv^2}{r}\)\)

(b) The maximum static friction force can be expressed as:

\(\(f_{\text{static max}} = \mu_{\text{static}} \cdot N\)\)

Where:

\(\(f_{\text{static max}}\)\) is the maximum static friction force,

\(\(\mu_{\text{static}}\)\) is the coefficient of static friction, and

\(\(N\)\) is the normal force.

Since the coin is on a horizontal surface, the normal force \(N\) is equal to the weight of the coin, which is \(mg\), where \(g\) is the acceleration due to gravity.

Setting the equations for the maximum static friction force equal to each other, we have:

\(\(\frac{mv^2}{r} = \mu_{\text{static}} \cdot mg\)\)

Simplifying, we can solve for the coefficient of static friction:

\(\(\mu_{\text{static}} = \frac{v^2}{rg}\)\)

Now substitute

v = 50.0

r = 30.0 cm

g = 9.8 m/s²

Now we can calculate the coefficient of static friction:

\(\(\mu_{\text{static}} = \frac{(0.5 \, \text{m/s})^2}{(0.3 \, \text{m})(9.8 \, \text{m/s}^2)}\)\)

= 0.085

Therefore, the coefficient of static friction between the coin and the turntable is approximately 0.085.

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The question attached here seems to be incomplete, the complete question is:

A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s.

(a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?

Answer:

830.53 in²

Step-by-step explanation:

To find the area of one semicircle, find the area of the full circle and divide it by 2:

Use the circle area formula, A = \(\pi\)r²

Plug in 3.14 as pi, and plug in the radius:

A = \(\pi\)r²

A = 3.14(23²)

A = 1661.06

Divide this by 2:

1661.06 / 2

= 830.53

So, the area of one semicircle is 830.53 in²

Answer:

850.53 in² is the answer

Answer:

5a² + 4ab = a(5a+4b)

6p - pq - 5pr = p(6-q-5r)

8st +9su + 7sv = s(8t+9u+7v)

8pq² +9qr+ 7pqr = q(8p²+7pr+9r)

2a²b + ab² - 6ab = ab(2a+b-6)

6t²u +8tu²y + 5tuw = tu(6t+8uy+5w)

18abc²-42a²bc + 18ab²c = 6abc(3c-7a+3b)

24pqrs +56q²rs - 40qrs = 8qrs(3p+7q-5)

The proof of similar triangles are;

1)  Triangles ABC and EFG are not similar triangles.

2) Both triangles are similar triangles by AA Similarity Postulate

Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. Now, all equilateral triangles, squares of any side lengths are examples of similar objects. This means that, if two triangles are similar, then we can say that their corresponding angles are congruent and corresponding sides are in equal proportion.

1) Triangles ABC and EFG are not similar because none of the corresponding angles nor corresponding sides are congruent to themselves.

2) Looking at both triangles formed, we can say that;

∠JLK ≅ ∠JMN by alternate angles postulate

∠JNM ≅ ∠JKL by alternate angles postulate

Similarly ∠J is congruent to itself by Reflexive property and as such both triangles are similar by AA Similarity postulate.

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The algebraic properties used in the steps are the distribution property, the associative property, the identity property, and the distribution property

The first step in the equation is given as:

t + 5(t + 1) = t + (5t + 5)

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = t + (5t + 5) is the distribution property

Next, we have:

t + 5(t + 1) = (t + 5t) + 5

The associative property states that

a + (b + c) = (a + b) + c

So, the property used in t + 5(t + 1) = (t + 5t) + 5 is the associative property

Next, we have:

t + 5(t + 1) = (1t + 5t) + 5

The identity property states that

a * 1  = a

So, the property used in t + 5(t + 1) = (1t + 5t) + 5 is the identity property

Next, we have:

t + 5(t + 1) = (1 + 5)t + 5

The distribution property states that

a(b + c) = ab + ac

So, the property used in t + 5(t + 1) = (1 + 5)t + 5 is the distribution property

Lastly, we have the solution

(6t + 5)

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The final length of the piece is less than 1 if Y < 1. We know that if Y < 1, then X + 1 < 1 or X < 0. Since X is not negative, this implies that X = 0. Thus, if the final length of the piece is less than 1, the only possibility is that it came from machine A.

Silicon Valley Spaghetti is a new start-up company pioneering a new pasta-making process. The piece starts in machine A with probability 1/2 and in machine B with probability 1/2. X is a random variable that represents the initial length of the piece. The conditional probability of X is determined by the machine that the piece starts with. The distribution of X is a uniform distribution on the interval [0, 1] when the piece starts in machine A and a uniform distribution on the interval (0, 2) when it starts in machine B. When the piece enters the stretching machine, it results in the final length Y. Y is uniformly distributed over the interval [X, X +1]. Graph of the joint distribution of X and Y, conditional on machine A being selected:  In this case, the piece starts in machine A, so the graph of the joint distribution of X and Y, conditional on machine A being selected is as follows:

Graph of the joint distribution of X and Y, conditional on machine B being selected: In this case, the piece starts in machine B, so the graph of the joint distribution of X and Y, conditional on machine B being selected is as follows:
The final length of the piece is less than 1 if Y < 1. We know that if Y < 1, then X + 1 < 1 or X < 0. Since X is not negative, this implies that X = 0. Thus, if the final length of the piece is less than 1, the only possibility is that it came from machine A. Therefore, the conditional probability that it came from machine A is 1.

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To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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Answer:

a. y = 28,000×(1 - 0.07)^t

b. 20,945.46 acres

Step-by-step explanation:

a. The annual percentage decrease in in size of rainforest = 7%

The size of the rainforest in 2009 = 28,000 acres

The exponential decay formula is y = C×(1 - r)^t

Where:

y = Final Amount

C = Initial amount = 28,000 acres

r = Rate of Change = 0.07

t = Time

Which gives;

y = 28,000×(1 - 0.07)^t

b. In 2013 (year 4, t = 4), the amount of rainforest remaining is therefore;

y = 28,000×(1 - 0.07)^(4) = 28,000×0.93^4 = 20,945.46 acres

The size of the rainforest that remained in 2013 is 20,945.46 acres.

Answer:

20(-3)

Step-by-step explanation:

Examine the graph and the map.

On the left, a bar graph titled Deforestation Trend in the Amazon Rainforest. The x-axis is labeled Acres in kilometers squared of Rainforest Lost. The y-axis is labeled Year from 2004 to 2016. 2004 lost 27,772 acres. 2005 lost 19,014 acres. 2010 lost 7,000 acres. 2012 lost 4.571 acres. 2016 lost 7,989 acres. On the right, a map titled Deforestation of the Amazon Rainforest by 2016. The Amazon River is labeled. A key notes deforestation by 2016, amazon forest in 2016, and non-forest vegetation. Labeled clockwise are Roraima, Amapá, Maranhäo, Pará, Tocantins, Mato Grosso, Rondônia, Acre, and Amazonas. Acre, Amazonas, Roraima, Amapá, Maranhäo, Mato Grosso and Rondônia are deforested by 2016. Pará, Maranhäo, Tocantins, Mato Grosso, and Rondônia have the Amazon forest in 2016. Mato Grosso, Tocantins and Maranhäo have majority of non-forest vegetation.

Which is the best conclusion about the Amazon rainforest that can be drawn from these sources?

Deforestation in the Amazon has accelerated since 2004.

Deforestation in the Amazon is no longer an important issue.

Despite population growth, the Amazon rainforest is increasing in size.

Despite positive trends, the Amazon rainforest remains in danger of destruction.

Answer:

Glad to help..

Step-by-step explanation:

1) 1.1×10-4 standard form- 7

2) 2.52×10-5 standard form- 20.2

3) 6.25×105 standard form- 656.25

4) 4.857×10 standard form- 48.57

Answer:

x = 2

y = 1

Step-by-step explanation:

4 x 2 = 8

3 x 1 = 3

8 + 3 = 11

So therefore

x = 2

y = 1

Have a nice day :)

Spanish:

Responder:

x = 2

y = 1

Explicación paso a paso:

4 x 2 = 8

3 x 1 = 3

8 + 3 = 11

Asi que, por lo tanto

x = 2

y = 1

Que tenga un buen día :)

When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.

To minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.

The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.

By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.

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The equation can only have a solution if 2 < sin(5x/2 - x/2) or sin(5x/2 - x/2) < -2.

First, let's simplify the equation by using the identity sin A - sin B = 2 cos((A+B)/2)sin((A-B)/2). Applying this identity, we get:

sin(5x/2 - x/2) = 2 cos(3x/2)sin(x/2)

Next, we can use the fact that -1 ≤ sin(x) ≤ 1 for any angle x to obtain:

-2 ≤ 2 cos(3x/2)sin(x/2) ≤ 2

However, neither of these inequalities has a solution since the range of the sine function is [-1, 1]. Therefore, the equation has no solutions in the interval [0, 2π].

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Complete Question:

The number of solutions of the equation sin 5x/2 − sin x/2 = 2  in [0,2π] is

Answer:

D

Step-by-step explanation:

Let's call the original diameter x. Then, the circumference would be xπ. If the diameter is 2x, the circumference is 2xπ. 2xπ / xπ = 2 so the answer is D.

Answer:

D. 2 times the circumference of the original circle

Step-by-step explanation:

The circumference of a circle is represented by the formula C = 2(r)pi (where is r is the radius), which can also be written as C = (d)pi, where d is the diameter, (since 2r is equivalent to d). If the diameter is doubled, the original equation can be rewritten as C = 2(d)pi. Therefore, the circumference of the new circle is double the original circle.

You can plug in a sample number to further prove this point. Pretend r = 3 so d = 6. C = 6pi. Now when the diameter is doubled, d = 12 and C = 12pi which is double 6pi.

So the answer is D. 2 times the circumference of the original circle