Part 3. Find the measure of the indicated angle to the nearest degree.​

Answer: 17.9

Step-by-step explanation:

Using Heron's formula:

Area of a triangle is given by:

√s(s-a)(s-b)(s-c)

Where a, b and c ara sides of the triangle and

S = (a+b+c) / 2

In the question above sides are :

XY=XZ= 20 and YZ=18

S = (20 + 20 + 18) / 2 = 58/2 = 29

Area = √29(29-20)(29-20)(29-18)

Area = √29(9)(9)(11)

Area = √25839

Area = 160.74513

Altitude = height(h)

Area = 0.5 × base × height

Base = yz = 18

160.74513 = 0.5 × 18 × h

160.74513 = 9 × h

h = 160.74513 / 9

h = 17.9 (3 s.f)

Answer:

10 5/8

Step-by-step explanation:

Answer:

The measurement of ∠3 is 135°

Step-by-step explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer:

m∠=135°

Step-by-step explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.

Answer:

When we have a translation T(a, b) and we apply it to a ordered pair (x, y), the translated pair will be (x + a, y + b)

Here whe have the translation T(-2, 5)

a) if our pair is (2, 5) then:

T(-2, 5) applied to (2, 5) = (2 + (-2), 5 + 5) = (0, 10)

b) if our pair is (-1, 7)

T(-2, 5) applied to (-1, 7) = (-1 + (-2), 7 + 5) = (-3, 12)

Answer:

Probability = 0.2603

Step-by-step explanation:

Consider the steps below;

[tex]Probability of Experiment Involving Cats - 5 / 7,\\Probability That 4 Chosen Experiments Are All Involving Cats - ( 5 / 7 )^4,\\\\5 / 7 * 5 / 7 * 5 / 7 * 5 / 7 =\\\\Conclusion; Probability - 625 / 2401[/tex]

Solution; Probability = ( About ) 0.2603

Answer:

16

Step-by-step explanation:

1/2*1/2*1/2 = 1/8 cubic units

2/(1/8) = 16

Answer:

16

Step-by-step explanation:

[tex](\frac{1}{2})^3 = \frac{1^3}{2^3} = \frac{1}{8}\\\frac{2}{\frac{1}{8}} = 2 \cdot 8 = 16[/tex]

Answer:

[tex] - \frac{1}{12} \\ [/tex]

Step-by-step explanation:

[tex] - \frac{1}{3} \times \frac{1}{4} \\ \\ = - \frac{1}{12} [/tex]

Answer:

4 is a

Step-by-step explanation:

Answer:

1000000/8025 = 40000/321 (simplified)

1000/9596

Step-by-step explanation:

Hi there,

There is an alternative way to do this....

First it is important to understand what a reciprocal is. The reciprocal of any number x is the number 1/x. The reciprocal of a number is also its multiplicative inverse, which means that the number times its reciprocal must equal 1. For a number such as 2, the reciprocal would be 1/2. For a fraction such as 2/5, the reciprocal would be 5/2.

Finding the reciprocal of a decimal can be done in a number of ways.

Change the decimal to a fraction first.

Ex. 0.25 is 25/100 and is equivalent to the fraction 1/4. Therefore Its reciprocal would be 4/1 or 4.

Keep the decimal and form the fraction 1/?? which can then be or converted to a decimal.

Ex. 0.75 The reciprocal is 1/0.75. Using a calculator, the decimal form can be found by performing the operation: 1 divided by 0.75. The decimal reciprocal in this case is a repeating decimal, 1.33333....

After finding a reciprocal of a number, perform a quick check by multiplying your original number and the reciprocal to determine that the product is 1:

(0.25)(4) = 1.00

(0.75)(1.33....) = 1 but it is easier to see for sure with repeating decimals if you use the fractions instead of the decimals.

(3/4)(4/3) = 12/12 = 1

Hope this helps, Mark as brainliest if liked it! thanks!

Answer: 24 m^3

Step-by-step explanation:

Given that you have a base with an area of 6 square meters, it has already calculated the product of length and width. In the Volume Formula Length x Width x Height, you're pretty much multiplying that given area by a height of 4, since you already have that length and width in the form of 6 square meters. The result you'll have is 24 Meters Cubed.

Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Answer:

b & e

Step-by-step explanation:

The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.

Given, f(-1/2)= -2

f(0)= 3/2

f(1)= -1

f(2)= 1

f(4)= 7/2

The function is of the form, f(x)= mx +b

where m is the slope of the line and b is the cutting point with the y axis.

For x=0, the value of the function is f(0)=3/2

⇒b=3/2   and m=1/2

∴ The function is f(x) = (1/2)x + 3/2

f(-1/2) = (1/2)(-1/2) + 3/2 =5/4

f(0) = (1/2)(0) + 3/2 = 3/2

f(1) = (1/2)(1) + 3/2 = 2

f(2) = (1/2)(2) + 3/2 = 5/2

f(4) = (1/2)(4) + 3/2 = 7/2

Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.

Learn more about functions here:

brainly.com/question/32813328

#SPJ2

Answer:

14^2/15

Step-by-step explanation:

70/15 simplifies to 14/3

14/3 X 14/5

= 14^2/15

Answer:

$3,745

Step-by-step explanation:

First, you have to calculate the price after the discount is applied:

Price of the car: $25,000

Discount: 18%

$25,000*18%= $4,500

$25,000-$4,500= $20,500

Second, you have to calculate the total amount she has to pay including the 7% tax:

$25,000*7%= $1,750

$25,000+$1,750= $26,750

Third, as the statement indicates that Ms. Eve had to put  14% of what she had to pay as down payment, you have to calculate the 14% of $26,750:

$26,750*14%= $3,745

According to this, Ms. Eve has to pay $3,745 for the down payment.

Answer:

[tex]4 {e}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

$ 1360.37

Step-by-step explanation:

Suppose we call the original price of the lawnmower x.

That means, to get a discount, the equation would be,

x * 1 -  x * 6% = 1278.75

= (94/100) * x = 1278.75

= (47/50) * x = 1278.75

x = 1278.75 * 47 / 50

= 1360.37

Answer: T = time remaining + time elapsed.

Step-by-step explanation:

Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)

Time remaining is the time left to finish the song.

Then the total duration of the song will be:

T = time remaining + time elapsed.

"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.

Please note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.

To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.

That is:

Total Duration = Time Elapsed + Time Remaining.

See the link below for more about Song Duration:

https://brainly.com/question/14701526

Answer:

Step-by-step explanation:

Part A

[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]

Part B

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line

m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

a. 9

Step-by-step explanation:

[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]

Answer:

a. 9

Step-by-step explanation:

because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive

Answer:

if its 8 to 5 then 16 is 10

answer: 10 miles

Answer:

10 miles

Step-by-step explanation:

8 km = 5 miles

So, Let's use the unitary method

1 km = [tex]\frac{5}{8}[/tex] miles

Multiplying both sides by 16, we get

16 km = [tex]\frac{5}{8} * 16[/tex] miles

16 km = 5 × 2 miles

16 km = 10 miles

Answer:

x+2y=4

Hope this helped

Answer:

w=12 ft

l= 20 ft

A.

P= 2(12+20)= 64 ft

A= 12*20= 240 ft²

B.

P=2(12*1.2+20*1.2)= 76.8 ft

A= 12*1.2*20*1.2= 345.6 ft²

C.

(76.8-64)/64*100%= 20%

(345.6- 240)/240*100%= 44%

D.

perimeter increase is linear function of one dimension increase

area increase is function of 2 dimensions increase

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

Answer:

[tex]5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

124

Step-by-step explanation:

A circle is a curve sketched out by a point moving in a plane. The measure of the arc mFD is 124°.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As we know that the angle made at the center of the circle is 360°. And it is mentioned that the measure of mFE is 146°, while mED is 90°. Therefore, the sum of all angles can be written as,

[tex]\angle FOE + \angle EOD + \angle FOD = 360^o\\\\146^o + 90^o + \angle FOD = 360^o\\\\236^o +\angle FOD =360^o\\\\\angle FOD = 124^o[/tex]

Thus, the measure of the arc mFD is 124°.

Learn more about Circle:

https://brainly.com/question/11833983

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

Answer:

[tex]f(n)=\frac{1}{3}n[/tex]

Step-by-step explanation:

To convert from feet to yards, divide by the value 3.

Answer:  24

Step-by-step explanation:

You have 4 balloons to choose from.  

Once you have chosen a balloon, there are 3 remaining to choose from.  When you choose another balloon, there are only 2 remaining.

First pick   and    Second pick    and   Third pick

     4           x        3 remaining      x       2 remaining      =  24