Answers
a=15
b=8
c=17
Related Questions
I need help with this question ( see image). Please show workings.
Answers
Answer:
13. (a) 120°, 120°, (b) 8.94 cm14. (a) 17.9 cm, (b) 22.4 cmStep-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 ≅ PORSum 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 14ΔXYZ 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 cmTucker purchased $4,600 in new equipment for a catering business. He estimates that the value of the equipment is reduced by approximately 40% every two years. Tucker states that the function V(t)=4,600(0.4)2t could be used to represent the value of the equipment, V, in dollars t years after the purchase of the new equipment. Explain whether the function Tucker stated is correct, and, if not, determine the correct function that could be used to find the value of the equipment purchased.
show work
Answers
Answer:
The function stated by Tucker is incorrect.
V(t) = 4600(0.8)^t
Step-by-step explanation:
Given the function :
V(t)=4,600(0.4)2t
The initial value of equipment = 4600
Decay rate = 40% of very 2 years
The value of equipment t years after purchase
The exponential decat function goes thus :
V(t) = Initial value * (1 - decay rate)^t
The Decay rate per year = 40% /2 = 20% = 0.2
V(t) = 4600(1 - 0.2)^t
V(t) = 4600(0.8)^t
a camera has a listed price of $634.95 before tax. if the sales tax rate is 8.75%, find the total cost of the camera with sales tax included. round your answer to nearest cent, as necessary
Answers
Answer:
690.50
Step-by-step explanation:
Simplify the following expressions to have fewer terms (MIDDLE SCHOOL)
5x-3+(4x-6)+2
4y+3-(8x-2)
Answers
Answer:
Install math calculator
Thank you
Answer:
x=1\9
Step-by-step explanation:
first part:
5x-3+4x+2
5x+4x-3+2
9x-1
9x=1
x=1\9 answer.
PLEASE HELP ASAP
Find the surface area and volume of the figure below:
Answers
Answer:
What I think it might be is 62.3
Can someone plz help me
Answers
Answer:
54 sq ft
Step-by-step explanation:
6ft x 3 ft = 18 sq ft
9 ft x 4 ft = 36 sq ft
18 sq ft + 36 sq ft = 54 sq ft
The choices should be in sq ft, not in sq cm
The value of area in sq cm would be far greater than the value of area in sq ft.
HELP ASAP
44/15 converted into a mixed number (convert a fraction into a decimal before converting it into a mixed number)
Answers
Answer:
2 14/15
Step-by-step explanation:
44/15= 2.9333333333333
2.9333333333333= 2 14/15
Find the area of the circle. Round your answer to the nearest hundredth. Use 3.14 or 22/7 for π (pi)
Answers
Answer:
3.14
Step-by-step explanation:
1x1xpi
1x3.14=3.14
Consider the system of equations below. Explain how you could use multiplication to help eliminate one of the variables.
x−5y=13
4x−3y=1
Answers
Answer:you cross multiply
Step-by-step explanation:
i hate tacos
A rectangular playground has length of 120 m and width of 6 m. Find its length, in metres, on a drawing of scale 1 : 5
Answers
Answer:
I. Length = 600 meters
II. Width = 30 meters
Step-by-step explanation:
Given the following data;
Length = 120m
Width = 6m
Drawing scale = 1:5
To find the length and width using the given drawing scale;
This ultimately implies that, with this drawing scale, the length and width of the rectangle would increase by a factor of 5 (multiplied by 5) i.e the rectangle is 5 times bigger in real-life than on the diagram.
For the length;
120 * 5 = 600 meters
For the width;
6 * 5 = 30 meters
Therefore, the dimensions of the rectangle using the given drawing scale is 600 meters by 30 meters.
Mother put 22 apples in each basket. How many baskets did she use for 390 apples ?
Answers
Please help! if do you will get 'Brainliest' (Right answers only, and please show your work)
Answers
Answer:
The answer should be B
[tex]3c \: + \: 43 \: \geqslant \: 100[/tex]
The number of calories of a food item varies directly with the size of the portion. If a 2-inch slice of a certain delicacy contains 170 calories, how many calories are in a 3-inch slice?
Answers
Answer:
A 3-inch slice of the food item contains 255 calories.
Step-by-step explanation:
Set calories per inch slice as variable x.
2x = 170
x = 85 cal
Since each inch slice of the food item contains 85 calories, a 3-inch slice would contain:
3x = 3(85) = 255 cal
A student has a rectangular photograph with side lengths of 5 inches and x inches The area of the rectangle is 33 square inches. The student wants to reduce the size of the photograph so that each side length is of its original length. The photograph will be printed on paper that costs $0.16 per square inch. What will be the cost of the paper needed to print the reduced photograph?
Answers
Answer:
1.32
Step-by-step explanation:
total area = 33
33/5 1/2 = 6 . X=6
5 1/2 x 1/2 = 2.75 . 6 x 1/2 = 3
2.75 x 3 = 8.25
new area = 8.25
8.25 x .13 = 1.32
do not send links or files!! i really need help lol
Answers
Answer:
x²+11x+30
Step-by-step explanation:
for this question, all we need to do is multiply (x+5) by (x+6)
we can use the distributive property.
(x+5)(x+6)
x² + 5x + 6x + 30
x² + 11x + 30
2. Write a ratio expressing the slope of the line through each pair of points.
(-6, 1) and (-2, 0)
Answers
Answer:
Step-by-step explanation:
m = [tex]\frac{-1}{4}[/tex]
What is the area of a circle with a radius of 20 inches?
Group of answer choices
1256 square inches
314 square inches
31.4 square inches
125.6 square inches
Answers
Answer:
1256 square inches
Step-by-step explanation:
Area of a circle:
A = πr²
Given:
r = 20
Work:
A = πr²
A=(3.14)20²
A = 3.14(400)
A = 1256
Answer:
1256 square inches.
Step-by-step explanation:
20 squared * π = 1256 square inches
A car dealership offers two types of discounts.
• Discount 1: Take 5% off the original price of a car built last year and then receive a
$3,500 rebate.
• Discount 2: Take 10% off the original price of a car built this year and then receive a
$1,250 rebate.
A customer is deciding between two cars.
• Car R was built last year and has an original price of $25,340.
• Car S was built this year and has an original price of $22,860.
Based on this information, which statement is true?
A The customer would pay $19,324 for Car S.
B The customer would pay $24,073 for Car R.
C The customer would pay $21,824 for Car S.
D The customer would pay $23,107 for Car R.
Answers
Answer:
The customer would pay $19,324 for Car S.
Step-by-step explanation:
Take Car S
$22,860 x .1 (ten percent) = $2,286
$22,860 (original car price) - $2,286 (minus the 10%) = $20,574 (new car price)
$20,574 - rebate of $1,250 = $19,324
The customer would pay $19,324 for Car S.
All other do not come out but this one does, so that is the only option for this!
Find the difference.
(−x2+9xy)−(x2+6xy−8y2)
Answers
Answer:
-2[tex]x^{2}[/tex]+3xy+8[tex]y^{2}[/tex]
Step-by-step explanation:
If an apple pie recipe calls for 3 pounds of candy apples then how many cups of canned apples required
Answers
Answer:
Seven cups of canned apples are required to make apple pie recipe
Step-by-step explanation:
The weight of one canned apple is 0.45 pounds
Weight of total canned apple required to make the apple pie recipe is 3 pounds.
Total number of cups of canned apples required
[tex]= \frac{3}{0.45} \\= \frac{300}{45} \\= \frac{20}{3} \\[/tex]
So approximately seven cups of canned apples are required to make apple pie recipe
139°
(17x + 3)
answer
Answers
Answer:
x= 8
Step-by-step explanation:
17x + 3 = 139
17x = 136
x = 8
The original price of a camera was $60. It was
on sale at a 20% discount. Later, the price of the
camera was reduced by an additional 25% of the
sale price. What was the final price of the camera?
Answers
Answer:
$36
Step-by-step explanation:
60-12 is 48 (20%)
And 75% Of 48 Is 36
What is the value of x?
Answers
Answer:
106
Step-by-step explanation:
reflection
The regular price of a camera is $500. The camera is on sale for 25% off the regular price. What is the sale price of the camera in dollars and cents?
Answers
Answer:
375
Step-by-step explanation:
500-125(25% of 500)=375
HELP PLEASE‼️
There are 148 legs in a farm yard full of goats and chickens. There are 62 total animals. How many of each are there.
Answers
It is 12 goats and 50 chickens to make those animals and that exact number of legs
A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.
Answers
=20x+16
Answer:
20x + 16
Step-by-step explanation:
Width (w) = 7x - 2
Length (l) = 3x + 10
Perimeter = 2*(l + w)
= 2* (3x + 10 + 7x - 2)
= 2* (3x + 7x + 10 - 2 ) {Combine like terms}
= 2* ( 10x + 8) {Use distributive property: a(b +c) =(a*b) + (a*c)}
= 2*10x + 2*8
= 20x + 16
It costs $1.16 to buy four-fifths a pound of apples. How much would it cost to
buy 8 pounds?
Answers
Answer:
11.60
Step-by-step explanation:
If the cost of 4/5th a pound of apples is $1.16, and we need to find the cost of that of 8 pounds, then you start by finding how many 4/5ths of a pound are in 8 pounds. 8 dividided by 0.8 (the decimal form of 4/5) is 10. Taking that 10, you would multiply the original cost of $1.16, which would bring you to the total of $11.60.
What is the volume of a container with sides 1ft, 2ft, and 2.5 ft
Answers
Answer:
5ft^3
Step-by-step explanation:
The formula for volume is length × width × height.
so you multiply 1×2×2.5, which equals 5
This is confusing can you help? NO LINKS!!!
Answers
Answer:
huh?
Step-by-step explanation:
did you forget a pic?
Answer:
whatdo u need help with love?
Step-by-step explanation:
the circumference is about ___ m
use 3.14 for pi.
Answers
The circumference is:
14.6 x 3.14 = 45.844 (m)
Answer:
c = 45.8 m
Step-by-step explanation:
The diameter of this circle is 14.6 m. The formula for the circumference of a circle of diameter d is πd. Here, using 3.14 for π, C = (3.14)(14.6 m), or
C = 45.8 m