Number 3. (Look at the Image) Using the formula ū = ||T||(cos o 7 + sin 0 j) Il, find the magnitude and direction of ū= (3,-V3).
Magnitude should be written in simplified radical form.
ů= 11 ull (cosoit sin 63
ů
find magnitude and direction of
ů - <333)

The central angles of the monthly budget of family B are 7.2 degrees, 57.6 degrees, 57.6 degrees, 64.8 degrees, 46.8 degrees, 100.8 degrees and 25.2 degrees, respectively

The central angles of each family is calculated using:

Angle = Percentage * 360

Using the data on the circle graph, we have:

Taxes = 2% * 360 = 7.2 degrees

Housing = 16% * 360 = 57.6 degrees

Food = 16% * 360 = 57.6 degrees

Childcare = 18% * 360 = 64.8 degrees

Transportation = 13% * 360 = 46.8 degrees

Insurance = 28% * 360 = 100.8 degrees

Other needs = 7% * 360 = 25.2 degrees

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The answer would be 4

The equivalent statement is "if m∠A = 60°, then Δ ABC is an equilateral triangle. (Option C).

Equivalent Statements refer to statements that when written differently, retain their logical equivalence. another way to know if a set of statements are equivalent is if they can be proven by one another.

An example of equivalent statement besides the one given already is:

A cat is an animal.

A pet is an animal you own.

Therefore owning a cat is the same as owning a pet.

Therefore:

If Jake owns a cat then he owns a pet.

If Jake doesn't own a pet then he doesn't own a cat.

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Answer: 5/9

Step-by-step explanation: I took a test on this ;)

A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.

Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.

During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.

According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.

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Answer:

12 shirts

Step-by-step explanation:

   First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.

   To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.

   "One website" - 9.65 per shirt, plus a set up fee for $43

y = 9.65x + $43

   "Another company" - 8.40 per shirt plus a $58 fee

y = 8.4x + $58

   See attached for the graph.

They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.

Multiply both sides by 15.

s = 0.88 * 15 = 13.2 (use calculator)

Answer:

13.2

Step-by-step explanation:

just multipply 15 by 0.88 to get 13.2

Answer:

1200

Step-by-step explanation:

since the first week has 75 doubling it is 150 doubling that is 300 doubling that is 600 doubling that for the final week is 1200.

1200 more zombies will there be after an additional 4 weeks.

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members (also known as elements or phrases), just like a set. The length of the series is the number of elements (potentially infinite).

At initial the zombies are= 75

Now, the zombies doubles at every week.

So, After 1 st week the population of zombies are

= 75 x 2

= 150

Then, After 2 nd week the population of zombies are

= 150 x 2

= 300

Then, After 3 rd week the population of zombies are

= 300 x 2

= 600

Then, After 4th week the population of zombies are

= 300 x 2

= 1200

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#SPJ2

The equation of the circle x² + y² – 18x + 8y + 5 = 0 can be written as in the standard form is (x – 9)² + (y + 4)² = 92

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given below.

x² + y² – 18x + 8y + 5 = 0

Add and subtract 97, then we have

x² – 18x + y² + 8y + 97 – 97 + 5 = 0

x² – 18x + 81 + y² + 8y + 16 – 92 = 0

                        (x – 9)² + (y + 4)² = 92

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Answer:don’t delete my comment I need more points lol

Step-by-step explanation:

Find the scale of the 2 known sides:

40/8 = 5

the larger shape is 5 times the size.

Multiply the known sides by 5:

X = 5 *5 = 25

x = 25

Answer:

The interior angles are approximately 64.02 degrees and approximately 115.98 degrees

The drawing is below.

==========================================================

Explanation:

A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.

Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5

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

Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine  the value of x.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]

Angle x is roughly 32.01 degrees.

Make sure your calculator is in degree mode.

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

Similar steps can be done to find the value of y.

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]

Or you could use the value of x to compute y like this

x+y = 90

y = 90 - x

y = 90 - 32.005383

y = 57.994617

y = 57.99

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

Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.

The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees

Notice how 2x+2y = 64.02+115.98 = 180

For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).

Answer:

25°

Step-by-step explanation:

51+x+14=90°

x+65=90°

x=90-65

x=25°

Answer: 25°

Step-by-step explanation:

51+x+14=90°

x+65=90°

x=90-65

x=25°

Answer:

b. C= 14+(10b)

c. C = 14+ ( 10 x 3) = 14+30 =44

Step-by-step explanation:

Hope this helps

Hey there!

1/(√2+√3)-√4

=−2−√2+√3

(Decimal: -1.682163)

this queation is tricky give me a sec

Step-by-step explanation:

Answer:

10,000 ★ soz if im wrong

Step-by-step explanation:

I hope the best

Answer:

10,000kg

Step-by-step explanation:

200 bags

1bag=50,000g

200bags=?

cross multipy

200bags x 50,000g

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

1bag

=10 000 000grams

1000g=1kg

10,000,000g

10,000,000/1000

=10,000kg

brainiest please

Answer:

Scale factor is 5/4

Step-by-step explanation:

To find scale factor make a fraction. New coordinates/old coordinates

Make the fractions and reduce.

10/8  and 15/12

5/4 and 5/4

The scale factor is 5/4

Answer:

1/4

Step-by-step explanation:

This question is asking for the probability of just picking a blue bead

It does NOT say anything about picking a smooth or rough!

This means you don't have to worry about it being smooth or rough (it is just extra information to throw you off)

So to find just picking one blue bead, you want to have the amount of blue beads divided by the total amount of beads

the amount of blue beads is 13

and the total is 52

So:

13/52 is your probability, but you want to simplify

Which comes out to

1/4

The cross section of the satellite dish is an illustration of a quadratic function

The quadratic function that models the cross-section is y = 1/6(x^2 - 9)

The given parameters are:

Width = 6 feet

Depth = 1.5 feet

Express the width the sum of two equal numbers

Width = 3 + 3

The above means that, the equation of the cross section passes through the x-axis at:

x = -3 and 3

So, we have:

y = a(x - 3) * (x + 3)

Express as the difference of two squares

y = a(x^2 - 9)

The depth is 1.5.

This is represented as: (x,y) =(0,-1.5)

So, we have:

-1.5 = a(0^2 - 9)

Evaluate the exponent

-1.5 = -9a

Divide both sides by -9

a = 1/6

Substitute 1/6 for a in y = a(x^2 - 9)

y = 1/6(x^2 - 9)

Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)

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Answer:

$4.25

Step-by-step explanation:

Simple, 12.50 divided by four is 4.25. Meaning the answer is $4.25.

Answer:

The exact value of sin 22.5° using the half-angle formula is √(2 - √2) / 2 or 0.38

Step-by-step explanation:

Let us consider θ = 22.5 º

Therefore, sin2θ =  [(1− cos 2θ) / 2] -------(1)

If θ = 22.5° then 2θ is 45°.

On substituting the value of θ in equation (1), we get

sin2 22.5° =  [(1− cos (2 × 22.5°)) / 2]

sin2 22.5° =  [(1− cos 45°) / 2]

sin2 22.5°=  [ [1 - (1 / √2)] / 2 ]

sin2 22.5°=  (2 - √2) / 4 [ on simplifying the above RHS value ]

sin 22.5° = [√(2 - √2) / 2]

After substituting the value of √2 as 1.414 in the above equation, we get

sin 22.5°= 0.38

Answer:

D

Step-by-step explanation:

Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.

D

To find the median, we must order the numbers from least to greatest and find the middle number which will be the median.

     List in order: -20, -12, -9, -7, -5, 2, 12, 15, 16

The number in the middle position is -5 <-- median

Hope that helps!

Answer:

r = 15

The radius of the sphere is 15 feet.

Step-by-step explanation:

see image.

Use the formula for the volume of a sphere:

V = 4/3 • pi • r^3

Fill in the 4500pi that is given for the V.

4500pi = 4/3 • pi•r^3

Then solve for r.

see image.

Multiply by 3/4 to get rid of the 4/3.

Divide both sides by pi.

Then cube root to get rid of the third power on the r.

see image.

Don't forget units.

r = 15 feet

Hope this helps! Pls mark Brainliest! tysm!

Answer:

11/30

Step-by-step explanation:

Do you need an explanation?

Answer:

1/6.2=15/x

Step-by-step explanation:

15:x=1:6.2

Answer:

D. [tex]\frac{1}{6.2} =\frac{15}{x}[/tex]

93 meters

Step-by-step explanation:

Howard has a scale model of the Statue of Liberty

1 inch = 6.2 meters

15 inches = ? meters

[tex]\frac{1}{6.2} =\frac{15}{x}[/tex] <= cross multiply

1x = 93  <== divide both sides by 1

/1     /1

x = 93 meters <== the height of the model, our final answer

Hope this helps!

Answer:

what are the answers for a b c and d

Answer:

733

Step-by-step explanation:

18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2

18 - 9 + 9 × 81 - ( 10 ) ÷ 2

(18 - 9) + (9 × 81) (-10 ÷ 2)

9 + 729 - 5

738 - 5

733

I hope this helps!

Answer:

716

Step-by-step explanation:

Triangle = bh / 2

24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716

Answer:

976 cm^2

Step-by-step explanation:

area of triangle is 1/2 times base times height

notice we have two triangles

so 14 * 24 * 0.5 is 168

168 times 2 is 336

now we have a rectangle on the bottom so its area is base times height

14 times 10 is 140

and now we have two rectangles on either side

25 times 10 is 250

250 times 2 is 500

500+140+336

976 cm^2