Answers
Answer:
a) angle QRP is 92 degrees, side QR is 23 cm, angle RPQ is 47 degrees
b) angle EFD is 65 degrees, side FD is 22cm, side ED is 20cm
Step-by-step explanation:
a) in the first example, you know that u are given QR, PR, and angle PRQ, and u are asked to find triangle PQR,or the rest of the lengths.
step 1-u draw an example of the triangle, i will provide one for each at the bottom of this answer
step 2-lets find the sides first with the pythagorean theorem, which will mean 25²+x²=34². Pythagorean theorem is a²+b²=c²
step 3-after solving for x, x will be 23.04, which means the third side is 23 cm (after rounding).
step 4-now that we have all the sides, we can solve for the rest of the angles, by trigonometric ratios, we are gonna use sine for angle RPQ, sine is sin(the angle u want to find)=opposite side/hypotenuse.
step 5- so sin(RPQ)=25/34, and solve for RPQ on a calculator (i used math) and angle RPQ will equal 47.3 degrees.
step 6- just subtract the sum of both angles from 180 an the last angle will be 92 degrees.
b) u are given the measure of angles FED and EDF and the side length FE, we will solve for the last angle first then we will go for the side engths
step 1- we subtract the sum of the two angles we have from 180 and we will get the measure of angle EFD to be 65 degrees, now we have the angles and we want to find he sides.
step 2-we use sine of angle 31 degrees to find the hypotenuse, but it is opposite of sine since we want to find the side, not the angle, so we will use sin(31)=11.3/x, the sine equation is written like sin(the angle u have)=opposite/hypotenuse.
step 3- after solving for arc sine in a calculator, u will find side FD to be 22cm, and now to find the last side.
step 4-i will use the sine of angle 65 degrees to solve for side ED, it will be sin(65)=x/22, which will make side ED equal 20 cm in length.
ur welcome :)
hope i helped
brainliest please?
Related Questions
Last month, when Jerry received his bank statement, he found that the balance in the statement did not match the balance in the register. Examine Jerry's check register and bank statement and evaluate his problem. Trans typ./ Check no. Date Description of Transaction Payment/ Debit (-) Deposit/ Credit (+) Balance 900 00 241 9/4 Miller's Food Market 67.25 67 25 Groceries 832 75 242 9/18 Frank's Auto Parts 36.80 36 80 Oil and Filter 795 95 243 9/28 Mike's Barber Shop 15.00 15 00 Haircut 780 95 Deposit 9/30 Paycheck 650.45 650 45 1,431 40 Checking Account Statement Account Number: 1234-1212 Checks date check no. amount 9/5 241 $67.25 9/20 242 $36.80 9/30 243 $15.00 Other Activity date transaction amount 9/30 Deposit $650.45 9/30 Fees $15.00 Balances Opening Balance $900.00 Closing Balance $1,416.40 A. His check to the barber shop was not cashed before the end of the month. B. He added up his transactions incorrectly. C. He mislabeled a payment as a deposit. D. He had bank fees that were not in his check register
Answers
He had bank fees $15 that were not in his check register.
The correct option is (B)
What is Balancing Statement?Balancing statement is a final statement of your income tax liability for a tax year. It is issued by Revenue when your income tax liability has been reviewed and it shows: your total income from all sources. tax reliefs and credits claimed. amounts of income tax
Balance in check register be,
=Initial Balance - ( Expense on Food Market + Frank's auto parts + Barber shop ) + Deposit
Initial Balance = 900
Expense on Food Market= 67.25
Frank's auto parts =36.80
Barber shop =15
Deposit =650.45
So,
Balance = 900 - (67.25 + 36.80 + 15) + 650.45
= 1550.45-119.05
= $1431.40
Balance on Account statement be,
= Opening balance - ( checks amount on different dates ) + deposit - fees
= 900 - (67.25 + 36.80 + 15) + 650.45 - 15
= 1550.45-134.05
= $1416.40
As, the balances in bank statement and in checking register are not matched. This is because the fees $15 paid on 9/30 is not calculated by Jerry in his check register
thus,
= $1431.40 - $15.00 (Fees)
= $1416.40
Now the balance on account and checking statements matched.
So, he had bank fees were not in Check Register.
Learn more about balancing statements here:
https://brainly.com/question/11956679
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Which statement is correct regarding the measurements of the parallelogram?
On a coordinate plane, a parallelogram has points (7, 3), (4, negative 4), (negative 5, negative 4), and (negative 2, 3).
The base is 7 and the height is 7, so the area is 7 (7) = 49 square units.
The base is 7 and the height is 3, so the area is 7 (3) = 21 square units.
The base is 9 and the height is 6, so the area is 9 (6) = 54 square units.
The base is 9 and the height is 7, so the area is 9 (7) = 63 square units
Answers
The correct statement regarding the measurements of the parallelogram is that the base is 9 and the height is 7, so the area is 9 (7) = 63 square units.
What is a Parallelogram?This is defined as a quadrilateral which has two pairs of parallel sides present and the area is base × height.
The base is 9 and the height is 7, when the points are plotted which results in the area being 63 square units hence option D was chosen.
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Can Someone Please Help Me With This Problem.
Answers
Answer:
Option B {1,3,4,5}
Step-by-step explanation:
The domain of the function is nothing but the input of the given function
Therefore the domain of given function is
{1,3,4,5} Option B
Find H please helpppp
Answers
Answer:
4.
Step-by-step explanation:
1) the rule:
h:2=8:h;
2) according to the rule:
h²=16; ⇒ h=4.
Find the distance between points 0, 10 and -9, 1
Answers
Answer:
9,9
Step-by-step explanation:
0 - -9 = 9
9 is the first number
10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)
9 is also the second number.
15 + 21 = 3 (4 + 8)
What is Aida’s error?
Aida used 3 as the factor, which is not common to 15 and 21.
Aida did not correctly divide by the common factor to get (4 + 8).
Aida did not apply the correct operations to the expressions.
Aida wrote two expressions that are not equivalent.
Answers
Answer:
Aida did not correctly divide by the common factor to get (4 + 8).
Answer:
B). Aida did not correctly divide by the common factor to get (4 + 8).
Step-by-step explanation:
Aida applied the distributive property to write the equivalent expressions given as
15 + 21 = 3(4 + 8)
But Aida made a mistake.
Since to get the common factor of 15 and 21 she did not divide these numbers by 3 correctly.
In simple words by division of 3 in 15 and 21, we get 5 and 7 instead of 5 and 8.
Therefore, Aida did not correctly divide by the common factor to get (4 + 8). ⇒ option B is the correct answer.
If x = 12, which equation is true?
A-27 + 2x = 51
B5(x + 7) = 45
C 3(25) - x = 39
D 3(25 - x) = 39
Answers
Answer:
D
Step-by-step explanation:
3(25-(12))=39
3(13)=39
39=39
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Answers
Answer:
8y
Step-by-step explanation:
Roxy’s new employer pays employees bimonthly, which is twice a month. She’ll earn $30 per hour with the new company. She plans to continue making extra money by dog sitting on weekends. Roxy works 40 hours per week for 52 weeks during the year. Each time she dog sits on the weekend, she earns $75. Use this information about Roxy to complete the statements. Type the correct answer in each box. Use numerals instead of words. Roxy’s annual income from her new employer before taxes will be $ . Her bimonthly pay before taxes will be $ . To reach Roxy’s yearly pretax income goal of $63,300, she will need to dog sit at least times.
Answers
Answer:
12 times
Step-by-step explanation:
first, find out how much she makes weekly.
40 (hours per week she works * 30 ($ she will earn per hour)
40 * 30 = 1200 per week
for 52 weeks so multiply that by her weekly pay
multiply her weekly pay (1200) by the weeks she works annually (52)
52 * 1200 = 62,400
she makes just $62,400 (annually, before taxes) with her new employer
subtract how much more money she needs
62,400 - 63,300 = -900
she needs 900 dollars
divide by the money she makes on weekends (for dog sitting)
900/75 = 12
she will need to dog sit at least 12 times to make approx. $63,300 annually, before taxes.
hope this helps:)
A discrete sample space is one in which outcomes are counted.
True
False
Answers
24. Which is an apparent root of the equation
graphed below?
Answers
[tex]\huge\underline\mathsf \colorbox{cyan}{-1/2}[/tex]
Step-by-step explanation:
Roots of a plotted quadratic equation f(x) can easily be known by knowing where it cuts the x- axis. So this parabola cuts x axis at (-1/2,0) and at (2,0).Boom there you have it.The temperature in Juneau, Alaska is -10°F. Select the city that has the opposite temperature as Juneau. A. Portland, Maine B. Austin, Texas C. Plattsburgh, New York D. Lincoln, Nebraska
Answers
As no table mentioned it can't be told which city accurately but you can find it by below precedence.
Alaska's Temperature is -10°FOpposite of it means additive inverse of itSo that's 10°FFind the city having temperature 10°F , that's the answer
Answer:
a
Step-by-step explanation:
What is the volume of this right prism?
1200 in3
1800 in3
2040 in3
3600 in3
Answers
Answer:
2nd option
Step-by-step explanation:
the volume (V) of the prism is calculated as
V = Ah ( A is the area of the triangular face and h is its height )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = 30, h = 8 , then
A = [tex]\frac{1}{2}[/tex] × 30 × 8 = 15 × 8 = 120 in²
with h = 15 , then
V = 120 × 15 = 1800 in³
Write an equation in slope-intercept form for the line with slope 5 and y-intercept-3.
Answers
Answer: y = 5x-3
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Pls help easy math will give brainlest
Answers
Answer:
See below ~
Step-by-step explanation:
Problem 9
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Q(k) = k - 3 / 2-4 = k - 3 / 2-8 = k - 3k = -8 + 3k = -5Answer: h'(1)=6/5
-1.5
Step-by-step explanation:
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Step-by-step explanation:
Answer:
Maximum value = 7, minimum value = 8
Step-by-step explanation:
Your answer is right !
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Answer:
Choice A
Step-by-step explanation:
<4 and <5 are alternate interior angles.
Answer:
angle 3 and 6
Step-by-step explanation:
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Answers
-2.15
-2.154 should be your answer!! have a blessed day x
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Answers
walking tour is $15
boat tour is $18
2 Find the mode and median from the following numbers 5,8, 6, 9, 7, 4, 10, 2, 5, 9, 0, 1, 6,9
Answers
Answer:
MEAN=81/14 MODE=6
Step-by-step explanation:
MEAN:
(5+8+6+9+7+4+10+2+5+9+0+1+6+9)/14=81/14
MODE: 6=middle number
What is the perimeter in centimetres of a regular octagon with sides measuring 17 mm?
Answers
Answer:
1.36 centimeters
Step-by-step explanation:
Given,
side length ( a ) = 17 mm
To find : Perimeter of regular octagon ( in cm )
Octagon has 8 sides.
Perimeter of regular octagon
= 8 x a
= 8 x 17
= 136 mm
1 mm = 0.1 cm
136 mm
= 136 x 0.1
= 1.36 centimeters ( cm )
Hence,
Perimeter of regular octagon is 1.36 centimeters.
Answer:
13.6 cm
Step-by-step explanation:
17 mm = 1.7 cm
Perimeter of octagon
= 8 x 1.7 cm
= 13.6 cm
12(x - 3) + 18 = 4(3x - 3)
12(x-3) + 18=4(2x-4)
6x +8 = 7x +13
6x + 8 = 2(3x + 4)
6x + 8 = 6x + 13
Please help if you can solve all of these it will be a big help
Answers
Answer:
No Solution
x = 1/2
x = -5
x = 1
No Solution
help me PLEASE PLEASE VERY urgent
Answers
Answer:
28
Step-by-step explanation:
Since n = 3, you would times n (3) 4 times then add that to 3, then divide that by three, and there's your answer!
Find the surface area of this cube. Be sure to include the correct unit in your answer.
Answers
Answer:
486 cm
Step-by-step explanation:
9×9=81
there are 6 faces
81×6=486
Question 6 of 10
How many solutions are there to the equation below?
&x=7
O A. 49
O B. 2
O c. 1
O D.O
Answers
Find the perimeter and area of the figure.
Answers
P=2 (a+b)=2•(7+15)=44
A= b h= 15•5=75
Explain how to use a graph of the function f(x) to
find f(3).
Answers
To find the value of f(3) we need to follow the below steps :
Step 1 : First plot the graph of f(x)
Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)
Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .
Step 4 : Now there exists two cases :
If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x
If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).
If this is wrong than I guess I wasn't smart enough :)
The delivery truck drives at a constant speed. What is the truck's speed, in miles per hour, on the delivery route? Round the answer to the nearest whole number. Enter the answer in the box.
Answers
Answer:
Choose answer below
Step-by-step explanation:
The truck does 3 sides of the square 3 x 24 = 72
and the truck does one entire diagonal of the square
with side lengths 24
diagonal = sqrt (24^2 + 24^2 ) = 33.94 miles
total miles 33.94 + 72 = 105.94 miles in 4.5 hours
105.94 / 4.5 = 23.54 m/hr for the entire trip
The mph for the actual driving time (2.5 hours )
105.94 / 2.5 = 42. 38 m/hr for driving time only
Which statements about the value of the digits in the number 6,666,666 are true?
Select each correct answer.
The digit in the thousands place is 16 the value of the digit in the ten thousands place.
The digit in the hundred thousands place is 110 the value of the digit in the millions place.
The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
The digit in the hundreds place is 60 times the value of the digit in the tens place.
Answers
Answer:
B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.
C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.
Hope this helps !
Step-by-step explanation:
A loon is flying at a height of 10 feet above a lake. The loon dives into the water to catch a fish that is at a depth of 6 feet. What is the change in elevation of the loon?
Pls help
