Write 3 3/4 as a decimal.

3 3/4=
I would also like an explanation too please, thank you!

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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Answer:

\(x=-1/2=-0.5\)

Step-by-step explanation:

So we have the function:

\(h(x)=4x+2\)

To find the zero(s) of a function, set the function equal to 0 and solve for x. So:

\(0=4x+2\)

Subtract 2 from both sides:

\(-2=4x\)

Divide both sides by 4:

\(x=-1/2=-0.5\)

So, the zero of the function is -0.5.

This means that the graph (a line) crosses the x-axis at (-0.5, 0).

Option A is the correct option

So, the approximate form of the expression for all values of t is 0.75.

The expression 3(1.25)/5 can be simplified to

3/5 * 1.25

= 0.75.

=3(0.25)

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided. Algebra Expression Example: 3x + 9, 5x + 10

To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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Answer:

13 feet

Step-by-step explanation:

You add both and get the total distance.

4 1/2 + 8 1/2 is also 4.5 + 8.5 = 13 feet

Answer:

Infenitely many solutions

Answer:

B

Step-by-step explanation:

-2x<7-5

-2x<2 multiplied by -1 gives 2x>-2 and devided by 2 you have x>-1

Answer:

B

Step-by-step explanation:

1.5*2.5 = 3.75

15/4 = 3.75

Answer:

18 in

Step-by-step explanation:

(4.5)(4)=18

Side Length * Sides = 18 in

According to the question The tax for a house assessed at $160,000 would be $4,000.

To find the tax for a house assessed at $160,000 using the same tax rate, we can set up a proportion based on the assessed values and taxes paid:

\(\(\frac{\text{{Assessed value of house 1}}}{\text{{Tax paid for house 1}}}\) = \(\frac{\text{{Assessed value of house 2}}}{\text{{Tax for house 2}}}\)\)

Substituting the given values, we have:

\(\(\frac{120,000}{3,000} = \frac{160,000}{x}\)\)

Cross-multiplying and solving for \(\(x\)\), we get:

\(\(x = \frac{160,000 \times 3,000}{120,000}\)\)

Calculating the expression on the right side, we find:

\(\(x = \$4,000\)\)

Therefore, the tax for a house assessed at $160,000 would be $4,000.

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The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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The height of the cylinder with a volume of 11,304 cubic millimeters is 21.07 millimeters.

To find the height of a cylinder, you can use the formula for the volume of a cylinder, which is:

Volume = πr^2h

where π is a constant approximately equal to 3.14, r is the radius of the base of the cylinder, and h is the height of the cylinder.

If we rearrange this formula to solve for the height, we get:

h = Volume / (πr^2)

Substituting the given volume, we get:

h = 11304 / (πr^2)

We need to know the radius of the cylinder to find the height. If the radius is not given, we cannot determine the height.

For example, if the radius of the cylinder is 12 millimeters, then:

h = 11304 / (π(12)^2)

h = 11304 / (π144)

h ≈ 21.07 millimeters

Therefore, if the radius of the cylinder is 12 millimeters, then the height of the cylinder is approximately 21.07 millimeters.

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Answer: The slope of function A is less than the slope of function B

Step-by-step explanation:

The slope of function B is 4 which comes from y=4x+5.

To find the slope of function A, we pick any two points on the line and then calculate the slope. I have chosen (0,0) and (1,2). Now, we use the formula to solve the slope:

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-0}{1-0}=\frac{2}{1}=2\)

So the slope of function A is 2, which is then the slope of function B which is 4.

The value of c for the statement P(Z>c) = 0.1379 in the standard normal distribution is 1.09.

Φ is symbol for cumulative distribution function (CDF) for standard normal distribution with mean equal to 0 and standard deviation equal to 1.

Z follow standard normal distribution. So,

Z ∼ N(0,1)

Since,

P(Z>c) = 0.1379

1 - P(Z≤c) = 0.1379

P(Z≤c) = 1 - 0.1379

P(Z≤c) = 0.8621

or

Φ(c) = 0.8621

Next, we know Φ(Z) is equal to P(Z≤z) with z∈R is CDF for N(0,1). So,

P(Z≤z) = 0.8621

From standard normal distribution table or z table, we get z = 1.09. So,

P(Z≤1.09) =  0.8621

Φ(1.09) = 0.8621

Since, Φ(c) = 0.8621. So, c = 1.09

Thus, the value of c is 1.09 for statement P(Z>c) in standard normal distribution is equal to 0.1379.

Your question is incomplete, but most probably your full question is

Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to determine the value of c so that the following is true.

P(Z>c)=0.1379

Round your answer to two decimal places.

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Answer:

The zeros of the function are x=1,10

Step-by-step explanation:

Set the function equal to zero.

0=x^2-11x+10

Factor

0 = (x-10) (x-1)

Using the zero product property.

0 = x-10   0 = x-1

Solve

x=10     x=1

The zeros of the function are x=1,10

Answer:

x1 = 1

x2 = 10

Step-by-step explanation:

I added a photo of my solution

(It had to be +1, I made a mistake there)

Answer:

450

Step-by-step explanation:

108 x 4 +18

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

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The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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1)

Volume of sphere is 113.1 ft³.

Given radius of sphere 3 ft.

Volume of sphere is 4/3× π ×r³

Substitute the value of radius in the formula of Volume of Sphere,

Volume of Sphere= 4/3×π×r³

                             = 4/3×22/7×3³

                             = 4/3×22/7×27

                             = 113.1 ft³

Hence the given sphere has volume of 113.1 ft³ rounded to the nearest tenth.

2)

Volume of cone is 94.3 yd³

Given diameter of base of cone and height of cone.

Diameter of base = 6 yd

Radius = diameter/2

Radius= 3 yd

Height of cone = 10 yd

Volume of cone = 1/3×π×r²×h

r = radius of base of cone

h = height of cone

Substitute the values of radius and height in the formula,

Volume of cone = 1/3×π×r²×h

                          = 1/3×22/7×3³×10

                          = 660/7

                          = 94.3 yd³

Hence volume of cone rounded to the nearest tenth is 94.3 yd³.

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The distance and displacement between Point A and Point B is the length of the complete circuit between the two points.

To calculate the distance and displacement between Point A and Point B, first measure the length of the complete circuit between the two points. Include the curvature of the corners when calculating the distance. If a straight line was drawn between the two points, the displacement would be equal to the distance. However, as the circuit has curved corners, the displacement is actually less than the distance.

Next, calculate the x and y components of the displacement vector by subtracting the x and y coordinates of Point A from the coordinates of Point B. Add the two components together to obtain the displacement. This will be less than the distance, due to the curved corners.

Finally, enter the distance and displacement, numerically separated by a comma, into the appropriate box.

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Answer:

Length = 21

Width = 16

Step-by-step explanation:

We know that the formula for perimeter is:

P=2W+2L

And we also know that:

L=W+5

So then we put all that we know in the formula:

74=2W+2(W+5)

Now we expand the brackets and do some algebra:

74=4W+10 (-10)

64=4W (÷4)

16=W

Now that we know the width we can pop that into the length equation:

L=16+5

L=21

If the enrollment for an econ class was 100 and 70% of students live on campus, the number of students in class who live on campus is 70 and if 20 students are randomly chosen, the chances that all 20 live on campus is 0.0008

a. To find the number of students in the class who live on campus, follow these steps:

b. To find the probability that all 20 students live on campus, follow these steps:

Therefore, there are 70 students in the econ class that live on campus and the probability that all 20 students randomly chosen from the class live on campus is approximately 0.0008.

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\(A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi\)

\(cos3A+cos5A=0\)

________________________________________________________

\(2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0\)

________________________________________________________

\(2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\ 2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos(\frac{8A}{2})cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0\)

________________________________________________________

\(cos\ 4A=0\)

________________________________________________________

\(4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}\)

________________________________________________________

\(4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}\)

________________________________________________________

\(cos(-A)=0\)

________________________________________________________

\(cosA=0\)

________________________________________________________

\(A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}\)

________________________________________________________

\(A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z\)

________________________________________________________

\(A=\frac{\pi}{2}+n\pi\)

________________________________________________________

\(A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z\)

I hope this helps you

:)

a) x = 9

b) x = 2

collect like terms:

check: replace x with 2

3(2) + 2 = 2 + 6

6 +2 = 2+ 6

8 = 8

Hence, it is correct

Answer: D¢(-3, 10), E¢(0, -1), F¢(-5, 8)

Step-by-step explanation:

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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Answer:

(a.)  8m

(b.) 12 cm

Step-by-step explanation:

a:

given: area of square = 64m²

formula of area of a square A = s²

We will reverse the formula to find the sum of the sides:

S = √A

S =√64

S = 8

b:

Given: perimeter of a square is 48 cm

formula for a perimeter of a square: P = 4 · s

We will reverse the formula to find the sum of the sides:

S = P ÷ 4

S = 48 ÷ 4

S = 12

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)