evaluate |-7| + 3|4|

Answer:

x ≈ 45.6°

Step-by-step explanation:

using the Cosine rule in the triangle

cos x = [tex]\frac{8^2+15^2-11^2}{2(8)(15)}[/tex] = [tex]\frac{64+225-121}{240}[/tex] = [tex]\frac{168}{240}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{168}{240}[/tex] ) ≈ 45.6° ( to 1 dec. place )

Step-by-step explanation:

the volume of a cylinder is

base area × height.

and the base is a circle, and the area of a circle is

pi×r²

remember, the radius is half the diameter.

so, in our case, the volume is

pi×(18/2)²×20 = pi×9²×20 = pi×81×20 = pi×1620 =

= 5,089.380099... in³ ≈ 5,089 in³

Answer:

48 fliers

Step-by-step explanation:

Last week, Mary posted 1/5 of 80, or 16 fliers. There were 80 - 16, or 64 fliers left. This week, Mary posted 1/4 of 64, or 16 fliers. There are 64 - 16, or 48 fliers left.

Answer:

The measure of arc DEF is 204° ⇒ answer C

Step-by-step explanation:

Answer:

Here is your answer, this is how you prove it

Answer:

Step-by-step explanation:

this is two circles, one inside the other, circles have an area of pi*[tex]r^{2}[/tex] the flower bed is  20 meters in diameter or 10 meters in radius.

flower bed Area = 3.14*[tex]10^{2}[/tex]

flower bed Area = 314  [tex]m^{2}[/tex]

circle of sidewalk adds 3 meters

sidewalk circle area = 3.14*[tex]13^{2}[/tex]

sidewalk circle area = 530.66

subtract the flower bed area from the sidewalk area, and you have just the walk way it self.

530.66 - 314 = 216.66 [tex]m^{2}[/tex]   for the sidewalk only

The bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14.  Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element​ carbon-14 has a​ half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

https://brainly.com/question/2320811

#SPJ1

Answer:

2,000

4,000

7,000

put points on (2, 2,000) - (4, 4,000) - and (7, 7,000)

Step-by-step explanation:

Answer:

30/45 or 2/3

Step-by-step explanation:

If you factor out a 10 from the numerator and a 9 from the denominator, you should get the following:

Numerator = 10 (a + b)

Denominator = 9 (x - y)

Since we know that (a + b) = 3 and (x - y) = 5, we can rewrite it as:

Numerator = 10(3)

Denominator = 9(5)

Therefore, the answer is 30/45, or 2/3.

Hope this helps!

Answer:

271

Step-by-step explanation:

Add 138 and 133 then you get 271 at the end

Answer:109

Step-by-step explanation:

71 degree and x make a linear pair

71 + x = 180

x= 180- 71

x= 109

Answer:

AC ≈ 12

Step-by-step explanation:

the angle between the tangent AC and the radius BC is 90°

then Δ ABC is right

note that BC = 9 ( radius of circle )

using Pythagoras' identity in the right triangle

AC² + BC² = AB²

AC² + 9² = (9 + 6)² = 15²

AC² + 81 = 225 ( subtract 81 from both sides )

AC² = 144 ( take square root of both sides )

AC = [tex]\sqrt{144}[/tex] = 12

You should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.

The skill of interpretive literary analysis helps us to relate one work of literature to another and thereby be able to draw meaning especially from a quoted text.

The reason why you should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.

Learn more about interpretive literary analysis:https://brainly.com/question/12251019

#SPJ4

The property tax paid by the  Dunnan family based on their millls and the assessed value of the home is  $31,875.

Property tax is the tax that is paid on property that is owned. Tax is a form of complusory payment made to the government.

Property tax = (mills /100) x assessed value

(37.5/100) x 85000 = $31,875

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

Answer:

1000 cm²

Step-by-step explanation:

Given:

Formula:

[tex]\text{Volume = Length} \times \text{Width} \times \text{Height}[/tex]

Substitute the length, width, and the height of the prism to determine the volume of the prism.

[tex]\implies \text{Volume = 10} \times 12.5 \times 8[/tex]

Simplify the right hand side of the equation, as needed;

[tex]\implies \text{Volume = 10} \times 12.5 \times 8[/tex]

[tex]\implies \text{Volume =}\ 125 \times 8[/tex]

[tex]\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }[/tex]

Therefore, the volume of the prism is 1000 cm².

Answer:

In order for the shapes to be in the same category, we need the following: 2 triangles and 1 quadrilateral with 2 sets of parallel lines.  

Step-by-step explanation:

Remember Generalization is like an inference.

You need to write a statement that is based on the given information about Anna's shapes.

_______________________________________________________

If we look at Anna's shapes we have 2 quadrilaterals and 1 triangle.

Then, the "following" shapes have the same properties meaning 2 quads and 1 triangle.

We can go straightforwardly by saying the shapes that Anna chose are 2 quadrilaterals and 1 triangle.

Parallel sides are only shown on 2 of the shapes (the square and the parallelogram).

There are 3 triangles: 1 right, 1 obtuse, and 1 equilateral or acute.

______________________________________________________
Here's my generalization:

If we look at the shapes that Anna chose, we can identify 2 quadrilaterals and 1 triangle. The following shapes don't belong with the ones she chose because there are 2 triangles (equilateral and one right triangle). Then, we have a square with 2 sets of parallel lines which the parallelogram has. The other quadrilateral doesn't have any parallel lines which can't be a trapezoid either. In order for the shapes to be in the same category, we need the following: 2 triangles and 1 quadrilateral with 2 sets of parallel lines.  

Doreen Short was looking over the repayment schedule for a loan of $40,000, the final payment and amount saved for the options are mathematically given as

Generally, the equation for the interest  is mathematically given as

I= balance*percentage/12

Therefore

I=17,565. 74*0.09/12

I=131.7

The final payment

F=I+B

F=131.7+17,565. 74

F=17697.5

Amount saved

AS=19*995.40 -17697.5

AS=1215.12

b) For the loan is paid off with payment 36 with a loan balance of $12,285. 66

I= balance*percentage/12

Therefore

I= 12,285. 66*0.09/12I92.142

I=92.142

Final payment

F=I+B

F=92.142+12377.80

F=12377.80

Amount saved

AS=13*995.40-12377.80

AS=$562.40

c) For the loan is paid off with payment 48 with a previous balance of $988. 9

I= balance*percentage/12

I= 988.09*0.09/12

I=7.41

Therefore

F=7.41* +988.09

F=$995.40

The Amount saved is zero

Read more about Arithmetic

https://brainly.com/question/22568180

#SPJ1

Answer:

?

Step-by-step explanation:

Answer:

rt4564564fr5646

Step-by-step explanation:

Answer:

The area is 27m.

Step-by-step explanation:

We can first seperate this shape into two shapes. I seperated the 3x6 rectangle and the 3x3 square. Now we can find the area of these individual shapes. 3x3=9 and 3x6=18. We can now add these two numbers together to get the area of this shape. 9+18=27m. Therefore, the area of this shape is 27m.

Answer:

∠A≅∠Y        AB≅YX

∠B≅∠X          AC≅YZ

∠C≅∠Z         BC≅XZ

ΔACB ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer: 9/14

Step-by-step explanation: 4+3+2/4+5+3+2 = 9/14

Answer:

the answer is, area of the square - a half of area of the circle

C=circle and S =square

radius of C is 10

so Area Of C is =

[tex]\pi r^{2} = \pi{10}^{2} = 100\pi[/tex]

area of S = 10×10 = 100

so the answer is

[tex]s - \frac{c}{2} = 100 - \frac{100\pi}{2} = 100 - 50\pi[/tex]

Answer:

Yes, the sequence is geometric.

Step-by-step explanation:

The rule is divide by -3

Multiplying or dividing is a geometric sequence

Answer:

Let us solve this

We’ll do it by the elementary method

Suppose the original fraction be x/y

Given, x : y = 2:3 ……(i)

then y = 3/2x

Now , by condition,

(x-6)/y = 2/3 * x/y

=> (x-6)/y = 4/9 [ from (i) ]

=> x-6 = 4/9y = (4/9)(3/2)x = 2/3x

=> 3x-18 = 2x [cross multiplication]

=> x = 18

Your Answer: the numerator of the original fraction is = 18

Stay Safe

Have a nice day

Answer:

1. 600 cm^3

2. 24 cm^3

3. 540 cm^3

4. 1476 cm^3

Step-by-step explanation:

1. rectangular prism volume equation is: V = lwh, where l = length, w = width, h = height. Substitute known values into this equation: V = 5 x 8 x 15 and we get V = 600 cubic cm.

2. V = (1/2)bhl, where the base and height are dimensions of the triangle. V = (1/2)6 x 2 x 4 and we get V = 24 cubic cm

3. V = Bh, where B is the base area and h is the perpendicular height. V = 45(12). So, V = 540 cm^3

4. Same thing with this one: V = Bh. Substitute known values into this equation: V = 82(18), which means V = 1476 cm^3

Using perfect squares simplification, it is found that the value of the desired limit is of -4.

It is the value of a function as x approach

In this problem, the limit we want to find is given by:

[tex]\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2}[/tex]

If we just replace x by -2, we end with an undetermined limit, as we have 0/0.

However, the perfect square simplification states that:

a² - b² = (a - b)(a + b).

Hence:

x² - 4 = (x + 2)(x - 2).

Then:

[tex]\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2} = \lim_{x \rightarrow -2} \frac{(x + 2)(x - 2)}{x + 2} = \lim_{x \rightarrow -2} x - 2 = -2 - 2 = -4[/tex]

Hence, the value of the desired limit is of -4.

More can be learned about limits at https://brainly.com/question/26270080

#SPJ1

Answer:

x=11

Step-by-step explanation:

2x+5=27

2x=22

x=11

The coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by 2π in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

= 6π/5

Reference angle:

= π - 4π/5  (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Learn more about the coterminal angles here:

brainly.com/question/23093580

#SPJ1