Angle AOB and angle AOC are complementary angles. What is the measure of angle AOB if the measure of angle AOC is 37°?
A. 53°

B. 63°

C. 323°

D. 143°

Answer:

The length of 30 inches is longer

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

Convert the length to inches

[tex]2\ ft=2(12)=24\ in[/tex]

therefore

[tex]30\ in>24\ in[/tex] ------> [tex]30\ in>2\ ft[/tex]

The length of 30 inches is longer

Answer:

  5

Step-by-step explanation:

The integers 5 and 5 sum to 10 and have the largest possible product.

___

The two numbers will be x and (10-x). Their product is x(10-x), which describes a downward-opening parabola with zeros at x=0 and x=10. The maximum (vertex) of that parabola is halfway between the zeros, at x=5. Both integers have the same value: 5. Their product is 25.

If there is a requirement the integers be distinct, then 6 and 4 are the integers of choice. Their product is 24.

Wendy can ride 17.5 miles in 2.5 hours

Answer:

17.5 miles

Step-by-step explanation:

[tex]\frac{miles}{min} = \frac{miles}{min} \\\\\\[/tex]

Convert hours to minutes

60 minutes = 1 hour

[tex]2.5*60=150[/tex]

2.5 hours = 150 minutes

[tex]\frac{0.7}{6} = \frac{x}{150} \\\\\\[/tex]

Cross multiply

[tex]0.7*150=6*x\\105=6x\\\frac{105}{6} =x\\17.5=x[/tex]

Answer:

[tex]w=V/(lh)[/tex]

Step-by-step explanation:

Let

l------> the length of the base of the prism

w------> the width of the base of the prism

h------> the height of the prism

we know that

The volume of the prism is equal to

[tex]V=lwh[/tex]

Solve for w

That means-------> isolate the variable w

so

Divide both sides by (lh)

[tex]V/(lh)=lwh/(lh)[/tex]

Simplify

[tex]w=V/(lh)[/tex]

❣ [̲̅R̲̅][̲̅e̲̅][̲̅f̲̅][̲̅e̲̅][̲̅r̲̅]

[̲̅T̲̅][̲̅h̲̅][̲̅e̲̅]

[̲̅A̲̅][̲̅t̲̅][̲̅t̲̅][̲̅a̲̅][̲̅c̲̅][̲̅h̲̅][̲̅m̲̅][̲̅e̲̅][̲̅n̲̅][̲̅t̲̅] ❣

❣❣... ℏ✺℘ḙ !т ℏḙℓ℘ṧ ʏ✺ṳ...❣❣

Answer:

The possible solution that is obtained from the system of equation are:

(1,3) and (6,13)

Step-by-step explanation:

We are asked to find the solution set of the given system of equation as:

[tex]y=x^2-5x+7-----------(1)[/tex]

and [tex]y=2x+1--------(2)[/tex]

We know that the solution of the system of equations is the possible set of x and y-values that satisfy both the equations.

Or we may say the point of intersection of the graph that is obtained from both the equations.

We solve the system by substitution method as:

We put the value of y from equation (1) in equation (2) to obtain:

[tex]x^2-5x+7=2x+1[/tex]

which is further written by combining the like terms as:

[tex]x^2-5x-2x+7-1=0\\\\x^2-7x+6=0\\\\x^2-6x-x+6=0\\\\x(x-6)-1(x-6)\\\\(x-1)(x-6)=0[/tex]

Hence, we get the possible values of x as:

x=1   and x=6

   y=2×1+1=2+1  ( Putting the value of x in equation (2))

         y=3

          y=2×6+1

             y=13

Hence, the possible solutions are:

(1,3) and (6,13)

Answer:

the answer is A, 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Stem Leaf Plot : A special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).

So, In the Given Stem leaf plot the numbers are :

100,101,90,93,94,94,95,81,86,87,89,70,72,76,69,56,58,49

Arrange in ascending order

49,56,58,69,70,72,76,81,86,87,89,90,93,94,94,95,100,101

Now we are supposed to find how many data points would be contained in the bar from 95-105

49,56,58,69,70,72,76,81,86,87,89,90,93,94,94,95,100,101

So, we can see there are 3 data points are contained in bar from 95 -105.

Hence 3 data points are contained in bar from 95 -105.

Answer:

The total surface area of this square pyramid is [tex]297\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

[tex]SA=b^{2} +4[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=9\ mm[/tex] ----> the length side of the square base

[tex]h=12\ mm[/tex] ----> the height of the triangular faces

substitute the values

[tex]SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}[/tex]

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

we have

[tex]3\sqrt{24} -2\sqrt{54}+2\sqrt{18}[/tex]

we know that

[tex]\sqrt{24}=\sqrt{2^{3}3}=2\sqrt{6}[/tex]

[tex]\sqrt{54}=\sqrt{3^{3}2}=3\sqrt{6}[/tex]

[tex]\sqrt{18}=\sqrt{3^{2}2}=3\sqrt{2}[/tex]

Substitute

[tex]3(2\sqrt{6}) -2(3\sqrt{6})+2(3\sqrt{2})[/tex]

[tex](6\sqrt{6}) -(6\sqrt{6})+(6\sqrt{2})[/tex]

[tex]6\sqrt{2}[/tex]

When simplifying the square roots in the expression 3sqrt(24) - 2sqrt(54) + 2sqrt(18), we find that the simplified solution is 6sqrt(2).

To simplify the radical expression 3 sqrt 24 - 2 sqrt 54 + 2 sqrt 18, we first need to break down each square root into its simplest form. In order to do this, we look for perfect-square factors (numbers like 4, 9, 16, 25 that have an integer as a square root) within each number:

3sqrt(24) = 3sqrt(4*6) = 6sqrt(6)

2sqrt(54) = 2sqrt(9*6) = 6sqrt(6)

2sqrt(18) = 2sqrt(9*2) = 6sqrt(2)

Because the sqrt(6) terms are like terms we can combine those, and then include the sqrt(2) term:

6sqrt(6) - 6sqrt(6) + 6sqrt(2) = 6sqrt(2).

https://brainly.com/question/35538839

#SPJ3

Answer:

D

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost. The expression f(x) ∘ g(x) means f(g(x)).

Let f(x) = x(2 - x) and g(x) = 3^x.

Begin by substituting g(x) in for x in f(x).

[tex]f(g(x)) = (3^x)(2-(3^x))[/tex]

The solution is D.

Answer:

[tex]\large\boxed{d_2=15\ cm}[/tex]

Step-by-step explanation:

The formula of an area of a kite:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

d₁, d₂ - diagonals

We have A = 120 cm² and d₁ = 16 cm. Substitute:

[tex]\dfrac{16d_2}{2}=120[/tex]

[tex]8d_2=120[/tex]           divide both sides by 8

[tex]d_2=15\ cm[/tex]

Answer:

The pyramid's volume is [tex]125\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=(1/3)Bh[/tex]

where

B is the area of  base of pyramid

h is the height of the pyramid

Find the area of the base B

[tex]B=5^{2}=25\ in^{2}[/tex] -----> is a square

[tex]h=15\ in[/tex]

substitute the values

[tex]V=(1/3)(25)(15)=125\ in^{3}[/tex]

Answer:

[tex]\large\boxed{D.\ 12x^2-29x+14}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](3x-2)(4x-7)=(3x)(4x)+(3x)(-7)+(-2)(4x)+(-2)(-7)\\\\=12x^2-21x-8x+14\qquad\qquad\text{combine like terms}\\\\=12x^2+(-21x-8x)+14=12x^2-29x+14[/tex]

Answer:

The answer is C. 9^-2

Step-by-step explanation:

Don’t know but not the first one

Answer:

k(qq)/r^2 times the length of the distnace

Step-by-step explanation:

Force times distance. The Electrical force is the only thing you have to find first.

The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is -kq^2/a.

To find the work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles, we need to calculate the electrostatic potential energy. The potential energy is given by the equation:

U = kqQ/r

where U is the potential energy, k is the electrostatic constant, q and Q are the charges, and r is the distance between the charges.

In this case, we have two charges of magnitude q and -q at the vertices of an equilateral triangle. The distance from the center of the triangle to each charge is a/2, where a is the length of the side of the triangle. Therefore, the potential energy is:

U = (1/4πε0)q(-q)/a

where ε0 is the permittivity of free space. Simplifying the expression, we get:

U = -kq2/a

https://brainly.com/question/35913879

#SPJ3

Answer:

The answer is 1.4 miles ⇒ answer (d)

Step-by-step explanation:

* Let the balloon is at the vertex A, and the soccer fields

  at vertex B and the football field at vertex C

∴ m∠B = 20° 15' = 20.25°

∴ m∠C = 62° 30' = 62.5°

∴ m∠A = 180 - 20.25 - 62.5 = 97.25°

∵ BC = 4 miles

* By using the sin Rule:

∵ AC/sin(B) = BC/sin(A)

∴ AC = (BC)(sinB)/sin(A)

∴ AC = [4 × sin(20.25)] ÷ sin(97.25) = 1.395 ≅ 1.4 miles

∴ The distance from the balloon to the football filed = 1.4 miles

Answer:

1.4

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

We assume that the die and coins are non-bias.

If you roll a die once, you have 6 possible outcomes (anything from 1-6).

If you flip 3 coins once, you have 2 possible outcomes for each coin (either heads or tails). Multiply those 3 possibilities (2x2x2), you get 8.

Multiply 8 with 6, and you get 48 possible outcomes in sample space.

*In the sample space shown below, do the same combinations to all roll die outcomes to get the whole sample space (i.e., 2TTT, 3TTT, 4TTT etc.).

Answer:

x < 5

Step-by-step explanation:

Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.

Answer:

Step-by-step explanation:

Answer:

It is B. hyperbola, 45 degrees.

SteIt is p-by-step explanation:

If we rotate the standard form  x^2 - y^2 = 1 through 45 degrees we get xy = 1/2.

xy = -2.5 comes from x^2 - y^2 = -5  being rotated 45 degrees.

Answer:

The correct option is b

Step-by-step explanation:

The given equation is

[tex]xy=-2.5[/tex]

It can be written as

[tex]xy+2.5=0[/tex]              .... (1)

The general forms of conic is

[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]             .... (2)

From (1) and (2), we get

[tex]A=0,B=1,C=0,D=0,E=0,E=2.5[/tex]

[tex]B^2-4AC=1-4(0)(0)=1>0[/tex]

Since the value of B²- 4AC > 0, then it is hyperbola.

The formula form angle of rotation is

[tex]\tan 2\theta=\frac{B}{A-C}[/tex]

[tex]\tan 2\theta=\frac{1}{0-0}[/tex]

[tex]\tan 2\theta=\infty[/tex]

[tex]\tan 2\theta=\tan (90^{\circ})[/tex]

[tex]2\theta=90^{\circ}[/tex]

[tex]\theta=45^{\circ}[/tex]

The angle of rotation is 45°. Therefore the correct option is b.

The sum of any negative number and its opposite is 0. So your answer is 0.

The sum of any negative number and its opposite is equal to 0.

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

[tex]\dfrac{x}{8000}=\dfrac{3}{125}[/tex]

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

[tex]x=\dfrac{3}{125}(8000)[/tex]

[tex]x=0.024(8000)[/tex]

[tex]x=192[/tex]

So around 192 cell phones are expected to be defective out of 8000 phones.

Answer:

192

Step-by-step explanation:

The amount that need to be pay is $250.

= 4% of 4,200 + $47 + $35

= $168 + $47 + $35

= $250

Learn more: https://brainly.com/question/26115859?referrer=searchResults

Samantha needs to pay a total of $250 in extra charges, which includes $168 for the state tax, $47 for the license plate, and $35 for the state safety and emission inspection.

To determine how much Samantha needs to pay in extra charges for her automobile purchase, we need to calculate each component separately and then sum them up. Firstly, we calculate the state tax by multiplying the purchase price by the tax percentage:

Tax = Purchase Price × Tax Rate

Tax = $4,200 × 0.04 = $168

Next, we add the fixed costs for the license plate and state safety and emission inspection:

Total Extra Charges = Tax + License Plate Fee + Inspection Fee

Total Extra Charges = $168 + $47 + $35 = $250

Therefore, Samantha needs to pay $250 in extra charges, not including the price of the car.

Answer:

549

Step-by-step explanation:

The next larger whole number, 550, will round up to 600.

The largest whole number that rounds to 500 is 549 when rounding to hundreds.

Answer:

44 years old

Step-by-step explanation:

The deifference between their ages is always the same. So 23x2=46

but that is in 2 years so we -2 from 46 =44

Answer:

44

Step-by-step explanation:

Answer: 169

Step-by-step explanation:

You just multiply 13 by 13

When simplifying 13 to the power of 2, you multiply 13 by itself, resulting in 13 x 13, which equals 169. This is known as squaring a number.

The question you've asked involves exponents, which is a way to express repeated multiplication of the same number. When you write 13 with a tiny 2 next to it, you're indicating that 13 should be multiplied by itself once, which is what squaring a number means. In other words, 13 to the power of 2 is 132, which is 13 × 13.

Let's simplify 132:

So, 132 equals 169. This process is using an integer power, which involves multiplying the base (in this case, 13) by itself as many times as indicated by the exponent (in this case, 2). This can apply to any number, where for example 53 (5 cubed) equals 5 × 5 × 5, which is 125.

We know that perimeter of the triangle its a+b+c=25

a=2b-2

b=b

c=b+3

Now we can substitute it into the formula

2b-2+b+b+3=25

4b+1=25          /-1

4b=24             /:4

b=6 - its b side

a=2*6-2

a=12-2=10 - its a side

c=6+3=9 - its c side

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Xxxtentaction _______________________│

╩__________________________________╩          

Answer:

  3x + 3y = 9

Step-by-step explanation:

Multiplying the given equation by 3 gives you ...

  3(x + y) = 3(3)

  3x + 3y = 9 . . . . . . matches the last choice

This is an equation for the same line as the given equation, so the lines will have infinitely many points in common (infinitely many solutions).

Answer:

3x + 3y = 9

Step-by-step explanation:

Looks like the temperature is given by

[tex]t(x,y,z)=200e^{-x^2-3y^2-7z^2}[/tex]

We have gradient at any point [tex](x,y,z)[/tex]

[tex]\nabla t(x,y,z)=200e^{-x^2-3y^2-7z^2}(-2x,-6y,-14z)[/tex]

Then the rate of change of [tex]t[/tex] at [tex]p[/tex] in the direction of (5, -5, 6) is given by

[tex]\nabla t(4,-1,4)\cdot\dfrac{(5,-5,6)}{\|(5,-5,6)\|}=\left(-\dfrac{400}{e^{131}}(4,-3,28)\right)\cdot\dfrac{(5,-5,6)}{\sqrt{86}}=-\dfrac{40600}{e^{131}}\sqrt{\dfrac2{43}}[/tex]

which is very nearly 0.

The rate of change of temperature at the point p(4, -1, 4) in the direction towards the point (5, -5, 6) can be found by computing the gradient vector at p, obtaining a unit direction vector towards the other point, and calculating their dot product.

To find the rate of change in the direction towards the point (5, -5, 6), we need to compute the gradient vector of the temperature at point p(4, -1, 4), and then calculate the directional derivative in the direction towards the other point.

First, we calculate the partial derivative of t with respect to x, y, and z. These derivatives give us the gradient vector ∇t at point p. The gradient vector represents the direction of the steepest incline at p and its magnitude gives the rate of increase of t.

Next, we need to find the unit vector in the direction towards point (5,-5,6) from p. Subtracting the coordinates of p from the other point gives us the direction vector. Normalizing this vector gives us the unit direction vector.

Finally, the rate of change of temperature at p in the direction towards the other point is given by the dot product of ∇t at p and the unit direction vector. This is known as the directional derivative of t at p in the mentioned direction.

https://brainly.com/question/30365299

#SPJ5

your calculations for volume (pi x r^2 × h) and surface area (2 × pi × r (h+r)) are correct. However your ratio are incorrect. From the formulas the ratio of surface area to volume would be r×h:2(h+r)

D

The time worked is directly proportional to the wages. This means as the wages increase, the hours of work increases.