Vectors A and B are at right angles. Determine the magnitude and the direction of the restaurant relative to vector A. A=34, 8, B= 17.3The resultant magnitude, R,

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

The area of the figure/geometric shape U will be 15 yard^2.

What are geometric shapes in mathematics?

In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.

Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.

In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc.  In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.

Now

As the scale factor for similar shapes V and U is 5:1.

Then their area should also be in same ratio.

Given Area of V=75 square yard

Therefore,

                Area of U=75/5

                 Area of U =15 square yard

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Answer:

G: Inverse multiplication

Step-by-step explanation:

Statement is 2•1/2=1

Now, what this means is that when we multiply a number by it's inverse form, the result will be 1.

This means that this statement denotes an inverse multiplication.

Thus, the last option is the correct answer

3 minutes it take for the mole to reach 13 ft underground.​

Two or more expressions with an Equal sign is called as Equation.

Given,

A mole left its burrow 4 feet underground and started digging deeper into the ground.

It digs straight down at a constant rate of 3 feet per minute

Which means to dig 3 feet its taking 1 minute

We have to find long does it take for the mole to reach 13 ft underground.​

it started at 4 feet

4+x=13

x=9 feet.

So 9 feet it has to dig.

3/1=9/x

3x=9

Divide both sides by 3

x=3 minutes.

Hence, 3 minutes it take for the mole to reach 13 ft underground.​

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The solution of the quadratic equation (1/3)x² - (1/9)x - 2/9 = 0 are x = 1, - 2/3.

Any equation that can be written in the standard form where x stands for an unknown and a, b, and c are known quantities, with a 0, is said to be quadratic.

An assignment of values to the unknown variables that establish the equality in the equation is referred to as a solution.

Consider the expression,

(1/3)x² - (1/9)x - 2/9 = 0

Multiplying each side of the quadratic equation by 9,

9 × [ (1/3)x² - (1/9)x - 2/9 = 0 ]

3x² - x - 2 = 0

Using the quadratic formula,

\(x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}\)

\(x = \frac{1 \pm \sqrt{1+24} }{6}\\ x = \frac{1 \pm \sqrt{25} }{6}\)

x = 1 and x = - 2/3

Hence, the solution of quadratic equation (1/3)x² - (1/9)x - 2/9 = 0 are x = 1, - 2/3.

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By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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The key features of the dashed graph are

A graph is a pictorial representation of a function

To describe the key features of the dashed graph, we proceed as follows.

So, the key features of the dashed graph are

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Answer:

f(x)= 2x- 3

Step-by-step explanation:

f(2) = 2(2) -3

f(2) = 1

I hope it helps.

Answer:

For maximum area: Its a square of dimensions 7.25 * 7.25.

Step-by-step explanation:

We can use calculus to solve this:

Let the length of the rectangle be L and the width be W then we have

2L + 2W = 29

L + W = 14.5

W = 14.5 - L

Area = WL

A = L(14.5 - L)

A = 14.5L - L^2

We need this to be a maximum.

Finding the derivative:

dA/dW = 14.5 - 2L = 0   for a maximum

2L = 14.5

L = 7.25

Also W = 14.5 - L

= 14.5 - 7.25 = 7.25.

So the dimensions for maximum area are 7.25 * 7.25.

The  figure is a SQUARE.

The perimeter of a rectangle, is the sum of its side lengths.

The rectangle that has the maximum area when the length is 7.25 and the width is 7.25

The perimeter is given as:

\(\mathbf{P = 29}\)

Let the dimensions be l and w.

So, we have:

\(\mathbf{2( l + w) = 29}\)

Divide both sides by 2

\(\mathbf{l + w = 14.5}\)

Make l the subject

\(\mathbf{l = 14.5 - w}\)

The area of a rectangle is:

\(\mathbf{A = lw}\)

Substitute \(\mathbf{l = 14.5 - w}\)

\(\mathbf{A = (14.5 - w)w}\)

Open brackets

\(\mathbf{A = 14.5w - w^2}\)

Differentiate

\(\mathbf{A' = 14.5 - 2w}\)

Set to 0

\(\mathbf{14.5 - 2w = 0}\)

Collect like terms

\(\mathbf{2w = 14.5}\)

Divide both sides by 2

\(\mathbf{w = 7.25}\)

Recall that: \(\mathbf{l = 14.5 - w}\)

So, we have:

\(\mathbf{l = 14.5 - 7.25 = 7.25}\)

Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25

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Answer:

Its C

Step-by-step explanation:

Just finished the homework and got it right

Using exponential functions, it is found that the correct option is given by:  [15, ∞)

-------------------------

The exponential function given in this exercise is:

\(M(t) = 25000(\frac{4}{5})^t\)

-------------------------

The domain that contains all the years the car's value is less than $1,000 is composed by the values of t for which:

\(M(t) < 1000\)

Thus, we have to solve the exponential inequality.

\(M(t) < 1000\)

\(25000(\frac{4}{5})^t < 1000\)

\((\frac{4}{5})^t < \frac{1}{25}\)

\(\log{(\frac{4}{5})^t} < \log{\frac{1}{25}}\)

\(-0.0969t < -1.39794\)

\(0.0969t > 1.39794\)

\(t > \frac{1.39794}{0.0969}\)

\(t > 14.43\)

Rounding, t greater than 15 years, and the correct option is:

[15, ∞)

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Solving a system of equations we can see that:

We can use the variables:

x = mass of the 60% solution.

y = mass of the 85% solution.

We can write a system of equations.

x + y = 70

x*0.6 + y*0.85 = 70*0.8

We can isolate x on the first equation to get:

x = 70 - y

Replace that in the other one:

(70 - y)*0.6 + y*0.85 = 70*0.8

Now we can solve this for y.

y*0.25 = 70*0.8 - 70*0.6

y = 14/0.25 = 56

Then he needs to use 56 ounces of the 85% solution, and 14 ounces of the 60% solution.

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12 tickets --

120/10= 12

Answer:

$12

Step-by-step explanation:

well 12 * 10 = 120 so 12 is 1 ticket

Figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

If a figure is the scale copy of another figure, the corresponding side lengths of both figures would be proportional to each other, which means their ratios would be the same.

From the figure given, the ratios of their side lengths are:

18/9 = 2

12/12 = 1

30/15 = 2

This shows that their ratios are not the same.

Therefore, we can conclude that figure B is not a scale copy of figure A. The answer is NO. The corresponding lengths of both figures have different ratios.

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Answer: angle DGE = 90 °. angle DGE = 90 ° The diagonals of a rhombus are perpendicular.: angle DGE = 90 °

Step-by-step explanation: Can i get brainiest pls and i like it took a long time to figure out  

Answer:

30779

Step-by-step explanation:

Answer: 30779

Step-by-step explanation:

We are looking for a new number which is 63512 less than 94291.

We will get the new number by subtracting 63512 from 94291.

We write it down as:

94291-63512= 30779

Answer:

C) & D)

Step-by-step explanation:

A)

\(y^3-3y+8=\\5^3-3*5+8=\\125-15+8=\\110+8=\\118\)

B)

\(2y^2*32=\\2*5^2*32=\\2*25*32=\\50*32=\\1600\)

C)

\(3(4y-8)+5(2y+2)=\\3(5-8)+5(2*5+2)=\\-9+5(10+2)=\\-9+5(12)=\\-9+60\\51\)

D)

\(y^3-7y=\\5^3-7*5=\\125-35=\\90\)

All the values of x, y and z are,

z = 12.99

y = 7.01

x = 28.3 degree

We have to given that;

In a triangle,

Two angles are, 61.7 degree and 90 degree

And, One side is, 14.76.

Now, We can formulate;

sin 61.7° = Perpendicular / Hypotenuse

sin 61.7° = z / 14.76

0.88 = z / 14.76

z = 0.88 x 14.76

z = 12.99

And, By Pythagoras theorem we get;

14.76² = z² + y²

14.76² = 12.99² + y²

217.85 = 168.74 + y²

y² = 217.85 - 168.74

y² = 49.1

y = 7.01

And, By sum of all the angles in triangle, we get;

x + 61.7 + 90 = 180

x + 151.7 = 180

x = 180 - 151.7

x = 28.3 degree

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Step-by-step explanation:

given,

cents received after recycling 1 bottle or can = 5 cents

if Brad recycles 48 cans and 32 bottles than he will receive,

48 × 5 = 240 & 32 × 5 = 160

240 + 160 = 400

therefore, if Brad recycles 48 cans and 32 bottles than he will receive 400 cents.

Hope this answer helps you!

Answer:

your answer is

given,cents received after recycling 1 bottle or can = 5 centsif Brad recycles 48 cans and 32 bottles than he will receive,48 × 5 = 240 & 32 × 5 = 160240 + 160 = 400therefore, if Brad recycles 48 cans and 32 bottles than he will receive 400 cents.
hope it’s helps you Buddy

Step-by-step explanation:

~Zayn

Answer: 64%

Step-by-step explanation:

Given: Size of photo = 7-by-5-inch

Area of photo = 7 x 5 = 35 sq. inches   [ Area = Length x width]

Required size = 4.2 inches by 3 inches

Area of required size = 4.2 x 3 =12.6 sq. inches

Area reduced =Area of photo  - Area of required size = 35-12.6 =22.4 sq. inches

Percentage of the photo need to be reduced to in order for it to fit in the allotted space

\(=\dfrac{22.4}{35}\times100=64\%\)

Percentage of the photo need to be reduced to in order for it to fit in the allotted space = 64%

H

Answer:

just look up cone calculator and you will find it

Answer:

Event       Probability

Heads          \(\dfrac{3}{5}\)

Tails             \(\dfrac{2}{5}\)

Step-by-step explanation:

If a coin is tossed 25 times, then  from the given table it is clear that

Number of heads = 15

Number of tails = 10

Total number of tosses = 15+10 = 25

We know that,

\(Probability=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}\)

\(P(H)=\dfrac{\text{Number of heads}}{\text{Total number of tosses}}=\dfrac{15}{25}=\dfrac{3}{5}\)

\(P(T)=\dfrac{\text{Number of tails}}{\text{Total number of tosses}}=\dfrac{10}{25}=\dfrac{2}{5}\)

So, probability distribution table is

Event       Probability

Heads          \(\dfrac{3}{5}\)

Tails             \(\dfrac{2}{5}\)

According to the properties for a probability distribution, the sum of probability of all events is 1.

Since,

\(\dfrac{3}{5}+\dfrac{2}{5}=\dfrac{3+2}{5}=\dfrac{5}{5}=1\)

Hence, the distribution meets the properties for a probability distribution.

Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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Answer: m = 3.1

Step-by-step explanation:

To solve for m you must divide 2.6m by 2.6m. Therefore, you must do the same on the other side of the equation.

2.6m/2.6m = 8.06/2.6m

m= 3.1

\(m=3.1.\)

\(2.6m = 8.06\)

\(\frac{2.6}{2.6} m=\frac{8.06}{2.6}\\ \\(1)m=\frac{8.06}{2.6}\\ \\m=\frac{8.06}{2.6}\)

\(m=\frac{8.06}{2.6}\\ \\m=3.1\)

\(2.6(3.1) = 8.06\\8.06=8.06\)

That's correct!

\(m=3.1.\)

Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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The volume of the solids are 240 cubic yards and 125.6 cubic cm

The complete question is added as an attachment

Solid 1

The shape is a rectangular prism.

The volume of a rectangular prism is

Volume = Length * Width * Height

So, we have

Volume = 8 yd * 5 yd * 6 yd

Evaluate

Volume = 240 cubic yards

Hence, the volume of the solid is 240 cubic yards

Solid 2

The shape is a cylinder.

The volume of a rectangular prism is

Volume = πr²h

So, we have

Volume = 3.14 * 2^2 * 10

Evaluate

Volume = 125.6 cubic cm

Hence, the volume of the solid is 125.6 cubic cm

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Answer:

Multiples of 4 are the following:

Step-by-step explanation:

2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.

Answer:

4,36,48

Step-by-step explanation:

The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
*Please give brainliest*

Answer:

6.6

Step-by-step explanation:

She has enough and will have 6.6 more cups frozen and fresh strawberries because, 33 divided by 5 equals = 6.6

Yes Jane does have enough strawberrys for multiple of that recipe (almost seven times the amount needed)

33+1=34

33 is more then 5

Step-by-step explanation:

4(n^3 - 6)

hope this helps