I need help with this question ( see image). Please show workings.​

I Need Help With This Question ( See Image). Please Show Workings.

Answers

Answer 1

Answer:

13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cm

Step-by-step explanation:

Refer to the attached sketch (not to scale)Question 13

(a) The center of the circle is also the circumcenter of the triangle PQR.

Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:

∠POQ ≅ ∠QOR ≅ POR

Sum of the three angles is 360° as cover the full circle.

Each angle measure is:

∠POQ = ∠QOR = ∠POR = 360°/3 = 120°

(b) Each side is 16 cm and the radius is 12 cm.

The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.

The segment MO is:

MO² = PO² - PM² = PO² - (PQ/2)²MO² = 12² - (16/2)² = 80MO = √80 = 8.94 cm (rounded)Question 14

ΔXYZ is isosceles with:

XY  = XZ = 20 cmYZ = 18 cm

(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude

Find h:

h² = XZ² - ZM² = XZ² - (ZY/2)²h² = 20² - (18/2)² = 319h = √319h = 17.9 cm (rounded)

(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.

Find ∠ZXM:

sin ∠ZXM = ZM/ZX = 9 / 20m∠ZXM = arcsin (9/20) = 26.7° (rounded)

Find ∠ZOM:

m∠ZOM = 2*m∠ZXM = 2*26.7 = 53.4°

Find the measure of the radius:

sin ∠ZOM = ZM/rsin 53.4° = 9/rr = 9 / sin 53.4°r = 11.2 cm (rounded)

Find the measure of the diameter:

d = 2r = 2*11.2 cm = 22.4 cm

I Need Help With This Question ( See Image). Please Show Workings.

Related Questions

You have an annual salary of $85,063. Your monthly expenses include a $1,555 mortgage payment, a $274 car lease payment, $139 in minimum credit card payments, and a $179 payment on your student loan. Calculate your DTI (debt-to-income) ratio as a PERCENTAGE

Answers

Answer:

DTI ratio in percentage = 30.29%

Step-by-step explanation:

Annual salary = $85,063

This means that gross monthly pay = 85063/12 = $7088.58

Now,

Total monthly debt payments = 1555 + 274 + 139 + 179 = $2147

Debt to income ratio = (2147/7088.58) × 100% = 30.29%

Hey I know this is kind of a lot but can someone pls help.

Answers

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

Which of the following is an example of a physical property?(55 points)

A. nail rusting

B. camp fire burning

C. Table salt melting

D. silver spoon tarnishing

Answers

It’s c I think sorry if I’m wrong, I did this lesson long time ago

x-4.88=-5.78

solve for x

Answers

Answer:

-0.9

Step-by-step explanation:

Answer:

x =-.9

Step-by-step explanation:

x-4.88=-5.78

Add 4.88 to each side

x-4.88+4.88=-5.78+4.88

x =-.9

Drew needs to air up his teams 8 soccer balls. Each ball has a diameter of 70cm. In terms of pi, what is the total volume of air in all 8 soccer balls?

Answers

Answer:

1.44m^3

Step-by-step explanation:

Given data

Number of balls= 8

Diameter of ball = 70cm = 0.7m

Radius= 35cm= 0.35m

We know that a ball has a spherical shape

The volume of a sphere is

V= 4/3πr^3

substitute

V= 4/3*3.142*0.35^3

V= 0.18m^3

Hence if 1 ball has a volume of 0.18m^3

Then 8 balls will have a volume of

=0.18*8

=1.44m^3

Please please please help me with this pleasseee!!!

Answers

The answer is A) y= -3x+5

6x + 2y = 10
Subtract 6x from both sides

2y = -6x + 10
Divide by 2
y = -3x + 5

[tex]\Large\boxed{\tt Answer:~A:~y=-3x+5}[/tex]

All we have to do in order to find the equation that is equivalent to 6x + 2y = 10 is to solve for y.

Step 1: Keep y on one side of the equation and move the rest to the other.

[tex]\tt 6x + 2y = 10\\2y = -6x + 10[/tex]

Step 2: Divide all terms by 2 to isolate y.

[tex]\tt 2y \div 2=y\\-6x \div 2 = -3x\\10 \div 2 =5\\\\y=-3x+5[/tex]

I need help on this math problem fast with work shown and answer thx

Answers

Answer:

angle 1 = 124

angle 2 = 56

angle 3 = 124

angle 4 = 56

Step-by-step explanation:

This problem is a bit like a puzzle. To make notation easier I'm going to do this:

angle 1 = a

angle 2 = b

angle 3 = c

angle 4 = d

Now, let's start with what we know from the image.

All angles added together form a circle or 360 degrees

a + b + c + d = 360

In the same regard a + d = 180, and b + c = 180

Also,

a = c

and

b = d

It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.

d = 1/4(a) + 25

If we look at all the equations we have, we can see that two of the equations have two of the same variables:

a + d = 180

and

d = 1/4(a) + 25

Using substitution we can take the second equation substitute it for d in the first equation giving us:

a + (1/4(a) + 25) = 180

Now we just solve for a

[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]

Therefore a, or angle 1, is 124

Since a = c, then c, or angle 3, is also 124

Since a + d = 180 and a = 124 then

d = 180 -124

d = 56

So, d, or angle 4, is 56

And because b = d then b, or angle 2, is also 56

a = 124

b = 56

c = 124

d = 56

For extra measure, we can check our work by using the first equation

a + b + c + d = 360

124 + 56 + 124 + 56 = 360

question in the pic

Answers

Answer is A
You pull the “3w” out of the first 2 terms and the “-4z” out of the last 2 terms

helpppp plsssss(I’ll give 80 pointssss

Answers

Answer:

-4 + -6 = -10

Step-by-step explanation:

From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6

A pyramid with a rectangular base has a volume of 60 cubic feet and a height of 6 feet. The width of the rectangular base is 4 feet. Find the length of the rectangular base.

Answers

Answer:

length=2.5feet

Step-by-step explanation:

Volume =Base area * height

6/60=(4*length) * 6/6

10=4length

length=10÷4

=2.5feet

The length of the pyramid is 7.5 feet.

What is a pyramid with rectangular base?

'A rectangular pyramid is a type of pyramid with the base shaped like a rectangle but the sides are shaped like a triangle. A pyramid usually has triangular sides but with different bases.'

According to the given problem,

Volume = 60 cubic feet

Height = 6 feet

Width of rectangular base = 4 feet

Let the length be x,

Volume =[tex]\frac{L * W * H}{3}[/tex]

⇒ 60 = [tex]\frac{x*6*4}{3}[/tex]

⇒ 180 = 24x

⇒ x = [tex]\frac{180}{24}[/tex]

⇒ x =[tex]\frac{45}{6}[/tex] = 7.5

Hence, we can conclude that the value of the length of the rectangular base is 7.5 feet.

Learn more about rectangular pyramid here: https://brainly.com/question/16602334

#SPJ2

Which expression is equivalent to
[tex](3 {u}^{3} {v}^{4}) ^{2} [/tex]
A.
[tex]3 {u}^{5} {v}^{6} [/tex]
B.
[tex]3 {u}^{6} {v}^{8} [/tex]
C.
[tex]9 {u}^{6} {v}^{8} [/tex]
D.
[tex]9 {u}^{5} {v}^{6} [/tex]

Answers

Answer:

C

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm?

Answers

Answer:

25

Step-by-step explanation:

A=1/2×b×h

A=1/2×5cm×10cm

A=25cm

PLEASE HELP AND ILL GIVE BRAINLIEST ​

Answers

Answer:

2

Step-by-step explanation:

Subtract the number with the term both sides ( which is 9)

[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]

Complete the square for the x terms and y terms.

( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)

[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]

[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]

Take the square root of the right side to find the radius

[tex] \sqrt{4} = 2[/tex]

Find the least common multiple of 18, 24, 42

Answers

Answer: 504. Multiple for : 18, 24 and 42. Factorize of the above numbers : 18 = 2 • 32 24 = 23 • 3. 42 = 2 • 3 • 7

What is the equation of the horizontal line?

Answers

Answer: y = 1

y = 2x+7 x = -3

y = 2(-3) + 7

y = 1

Need help with this question thank you!

Answers

Answer:

Step-by-step explanation:

(5,3) should be your slope. Start from the bottom of the line and go up. Use the X axis slope 1st because of the x1 y1 coordinates.

Answer:

(5,-1)

(-4,0)

Step-by-step explanation:

5 is in the X axis

-1 is in the Y axis

-4 is in the Y axis

0 is in the X axis

A rectangular prism has a base perimeter of 28 inches and a height of 6 inches. What is the lateral surface area of the prism?​

Answers

Answer:

uhuhuhuhuhuhuhuhuhuhuh oh yeah

Step-by-step explanation:

what is the area of a trapezoid​

Answers

Answer:

28 in² = 28

Step-by-step explanation:

[tex]a = \frac{a + b}{2}h[/tex]

[tex]a = 6[/tex]

[tex]b = 8[/tex]

[tex]h = 4[/tex]

[tex]a = \frac{6 + 8}{2}4[/tex]

[tex] \frac{14}{2} 4[/tex]

[tex]7 \times 4[/tex]

[tex] = 28[/tex]

Answer = 28 _

The diameter of a circle is 4 feet. What is the circumference?
d=4 ft
Give the exact answer in simplest form.

I need the answers

Answers

Answer: 4π

Step-by-step explanation: C= 2πr; 2r=d; C=dπ; C=4π!

Answer:

4π  ft

Step-by-step explanation:

C = 2πr  (Circumference formula for a circle)

diamater = 4, so  diamter = 2 x radius,  4 = 2 x r , so r = 2

Use formula:

C = 2π(2) = 4π

4π ft (Exact answer)

please solve for x!!!!

Answers

Answer:

-14

Step-by-step explanation:

Hello,

Let's have a look at this figure and think about how are these two angles related to each other. These two angles are vertically opposite angles, and any two vertically opposite angles should be equal to each other.

Because the two angles should be equal to each other, we can equate the two equations together and solve for x.

9x + 184 = 7x + 156

9x - 7x = 156 - 184

2x = -28

x = -14

Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?

Answers

Answer:

Simple Interest (I) =  Principle * Rate * Time

 

so I = PRT

 

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

 

so

Assuming its per year after 4month

 

I = (47300)(0.03)(0.333333)

 

I = 472.999527

 

I = $473

 

Now we'd add the interest(I) to the Principle

 

$47300 + $473 = $47773.00

 

 

Assuming it is per month, after 4months

 

I = PRT

 

I = (47300)(0.03)(4)

 

I = $5676.00

 

Now add the interest to the principle

 

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

AAAAAA help me pls
(I need help on number 5)

Answers

Answer:

1620!

Step-by-step explanation:

Answer:

1620

Step-by-step explanation:

For every six dollars that Jamal saves in his account, his brother saves eight dollars in his account.

If Jamal has $24.00 dollars in his account, how much money does his brother have in his account?

Answers

Answer:

jamel brother has 48.00 dollors

Step-by-step explanation:

Answer: He has 32$ 24 divided by 6 is 4 multiply 4 by 8 and you get 32

Write the Recursive form and next of the following sequence

8,10,12,14,16...

Answers

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Solve 5/4=x/12.

x=
Please help!

Answers

Answer: x=15

Step-by-step explanation:Step 1: Cross-multiply.

5

4

=

x

12

(5)*(12)=x*(4)

60=4x

Step 2: Flip the equation.

4x=60

Step 3: Divide both sides by 4.

4x

4

=

60

4

x=15

Answer:

x=15

NO LINKS!! NO ONE WANT TO HELP ME PLEASE IM WASTING ALL MY POINTS PLSSS HELPPPP :((( Which of the following equations describe the line shown below? Check all
that apply MULTI CHOICE MORE THAN OND
(1,6) (-3,-6)

Answers

Answer:

Option E

Step-by-step explanation:

The two points are (1,6) and (-3,-6) . We can find the Equation of the line using two point form , as ,

[tex]\implies y - y_1 =\dfrac{y_2-y_1}{x_2-x_1}(x - x_1) \\\\\implies y - 6 = \dfrac{-6-6}{-3-1}(x-1) \\\\\implies y-6 = \dfrac{-12}{-4}(x-1) \\\\\implies \boxed{\boxed{y -6 = 3(x-1)}} [/tex]

On looking at options we see that option E is correct .

Hence the correct option is E.

hi so... im horrible at math and can't figure this out so can someone pls answer this? and in the most simplified way possible because my tiny brain can't handle too many steps aha. WILL GIVE BRAINLIEST... just so u guys know l mao

Answers

It is -42x+8 fully simplified

Can someone help with this question? I’m stuck.

Answers

Answer:

2

Step-by-step explanation:

2+2 is 4 so therefore the answer is 2.00.

Math help me out this is tricky man hurry solve both

Answers

Answer:

1) a , b , c , e are ans....

2) a.F b.T c.F d.T

PLEASE ANSWER!! Write the equation of a line that passes through the points (-2,-9) and (2,-9).

Answers

Answer:

Step-by-step explanation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Step-by-step explanation:

first we calculate the slope of the line with the formula:

where  is a point where the line passes, and  is another point where the line passes.

Since we have the following points:

(8, -2)

(5,5)

we conclude that

now we substitute this values to find the slope:

to find the equation now that we know the slope we use the point-slope equation:

and we subtitute the slope and the values of  and :

we reduce this equation:

the equation in the point slope form is

and reducing the equation (slope-intercept form)

Other Questions
PLZ HELP :(What reason does Greta Thunberg give for her claim that a low-carbon economy isn't going to work?because our emissions have to stop, if we are to have a chance to stay below the 1.5-degree targetbecause the U.S.A. is leaving the Paris accord and that seems to outrage and worry everyonebecause planting trees is good, of course, but it's nowhere near enough of what is neededbecause it doesn't lead to anything Y= -3/2x +3 is the same line as x + y = A 51-year-old female patient presents with symptoms of depression, including lack ofmotivation and difficulty sleeping. What risk factors would increase her vulnerability for adiagnosis of depression? Explain the difference between a data table and a graph. When do you use a data table? When do you use a graph? HELP ME!!! Pls someone help me please give me the ans A car is moving around a circular track of radius 25m with a speed of 30 m/s. What is the centripetal acceleration of the car? *A 72 m/s2B 36 m/s2C 30 m/s2D 6 m/s2 How can examining images in a text help you to Given f(x) and g(x) = kf(x), use the graph to determine the value of k. Two lines labeled f of x and g of x. Line f of x passes through points negative 4, 0 and negative 3, 1. Line g of x passes through points negative 4, 0 and negative 3, negative 2. 2 negative one half one half 2 helppppppppppppppp plz HELP AHHHHHHHHHHHHHHHH HELP ASAP.....HURRY HURRY Find the value of x and the value of y. A. x= 2 squared root of 3, y= 4 squared root of 3 B. x= 3,y= 6 squared root of 3 C. x= 6 squared root of 3, y=12 D. 2 squared root of 3, y= 6 Until 1543, the Japanese had cultivated cultural and commercial ties with China and Korea while remaining an essentially closed society. The arrival of the Portuguese in 1543 marked the beginning of irreversible changes in Japan. The emperor and the Tokugawa shoguns (a kind of military dictator) generally sought to hinder European influence in Japan. But the daimyo (the nobility), who controlled their fiefs directly, were divided on the adoption of European ideas. Many believed European ideas could give them the edge over their domestic rivals. Before analyzing how the Japanese interacted with Europeans, consider the structure of Japans government and economy in the sixteenth and seventeenth centuries.Complete the following table by identifying which of the characteristics accurately describes Japan's government or economy during this period.Characteristic True False Peace under Tokugawa Conquerors of Korea Replacement of cotton by hemp as the primary cloth used by the Japanese Economic integration Please help! What is the population of people?? Answer and explanation please! no links :\ Points (4, 5) and (10, 5) are vertices of a rectangle.The length of the rectangle is twice the width.The other vertices are located at (4, ___ ) and (10, ___ ). What could these ordered pairs be?pls help im begging yu Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.People Entering Amusement ParkA graph titled People Entering Amusement Park has time (minutes) on the x-axis, and number of people on the y-axis. Points trend in a positive line.Time (minutes)a.positive; as time passes, the number of people entering decreases.b.negative; as time passes, the number of people entering decreases.c.no correlationd.positive; as time passes, the number of people entering increases.Please select the best answer from the choices providedABCD PLZ ANSWER FAST!!!! THE FIRST ANSWE GETS BRAINLIEST List the effects of collecting and burning fossil fuels. Two functions are defined by the equations f(x)=50.2x and g(x)=0.2(x+5). all statements that are true about the functions.