Answers
============================================================
Explanation:
The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.
Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.
The area of the triangle is therefore...
area = base*height/2
area = 10*9/2
area = 90/2
area = 45 square cm
It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.
------------
A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.
Answer:
C. 50 [tex]cm^2[/tex]
Step-by-step explanation:
area of big triangle - area of small triangle
find missing side lengths with pythagorean theorem:
[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]
[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]
find area:
1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)
= 49.124
which is closest to 50 [tex]cm^2[/tex]
Related Questions
Which of the following is another way to write 1,645.29?
A.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 tenths + 9 hundredths
B.
1 thousand + 6 hundreds + 4 tens + 5 ones + 2 hundredths + 9 thousandths
C.
one thousand, six hundred forty-five and twenty-nine tenths
D.
one thousand, six hundred forty-five and twenty-nine thousandths
Answers
Answer:
the answer is A 1 thousand 6 hundreds 4 tens 5 ones 2 tenths 9 hundreths
Which of the following represents the outcomes for those not in event E and not in event F
Answers
Answer:
B
Step-by-step explanation:
the sentences of b option can be
not event É and not event F
what is 80%of 1,60
will mark brainliest
Answers
Answer:
Step-by-step explanation:
Converte 80% into a decimal (devide it by 100) = 0.8
Then multiply 0.8 by 1.60 = 1.28 (final result)
The faces of a fair 6 - sided cube are numbered 1 through 6. What is the probability that a 2 will land face up on the next roll? Give your answer as a fraction in simplest form and the percent.
Answers
Answer:
You will have a 1/6 probability of getting a 2 that will land face up on the next roll.
Step-by-step explanation:
There is only one two on the cube, which means you will have 1 chance out of 6 of getting a 2.
Find the perimeter of the composite shape. Round to the nearest hundredth.
Answers
Answer:
36 is ur perimeter
Step-by-step explanation:
Answer: 47.31
Step-by-step explanation: I just took the unit test
Lancelot deposited $5000 each into 2 different savings accounts. Account A earns 8% simple interest. Account B earns 8% interest compounded annually. What is the sum of the balances of both accounts at the end of 6 years?
Answers
Answer:
$15,334.37
Step-by-step explanation:
Lancelot deposited $5000 each into 2 different savings accounts.
Step 1- For simple Interest
Amount of money in the account
Account A earns 8% simple interest.
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 5000(1 + (0.08 × 6)) = 7400
A = $7,400.00
Step 2- For Compounded Interest
Account B earns 8% interest compounded annually.
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 5,000.00(1 + 0.08/1)(1)(6)
A = 5,000.00(1 + 0.08)(6)
A = $7,934.37
The sum of the balances of both accounts at the end of 6 years is calculated as:
$7,934.37 + $7,400.00
=$15,334.37
evalute the expertion (-5)(7)+4=
Answers
Answer:
(-5)(7)= -35
-35+4=-31
your answer is -31
the sides of a whiteboard are 12 inches by 4 inches. How many 2 inch by 2 inch Post-it notes will be needed to cover the entire whiteboard?
I NEED ANSWER ASAP
Answers
Answer:
12
Step-by-step explanation:
12 times 4 = 48
2 times 2 = 4
divide those both and you get 12.
12 post it notes will be needed to cover entire board.
have a nice Day!!
Jamie uses exactly 18 inches of dental floss every time she flosses her teeth. The package of dental floss she just bought contains 27 yards. How many times can Jamie floss her teeth with the amount of floss in this package?
Answers
Answer:
54 times
Step-by-step explanation:
36 inches = 1 yard
Since there are 27 yards, you multiply 36 by 27 = 972
If you use 18 inches each time, you would divide 972 by 18.
972/18= 54
So, Jamie could flow her teeth 54 times.
The terminal side of θ in standard position contains the point (–4, 3). Find the exact values of the six trigonometric functions of θ. (show all of your work) *
Answers
Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
who ever can solve this gets 20 points
I NEED ANSWERS SOON PLS!!!
Answers
Answer:
100 - 1/20 = 99.95
99.95 - 45 = 54.95
54.95 x 18/100 = 9.891, 54.95 - 9.891 = 45.059
45.059 - 12 = 33.059
33.059 divided by 2.50 = 13.2236, about 13 games
what number is different from the other
the group
8, 27, 36, 64, 125
Answers
Answer:
125
Step-by-step explanation:
i guess is the different from other
what kind of triangle is shown
Answers
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answers
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
What is the area of the rectangle above?
A. 24 square units
B. 22 square units
C. 11 square units
D. 32 square units
Answers
Answer:
The answer is
a. 24 square units
Find the slope of a line parallel to this given line: -10y + 3= -6x
Answers
Answer:
Y=3/5 x +3/10
Step-by-step explanation:
Calinda is painting the design on her bedroom wall. The large circle has a diameter of 32 inches. To the nearest square inch, how much paint swill she need for the shared reign on
Answers
Answer:
804 inches
Step-by-step explanation:
Amount of paint she would need is equal to the area of the circle
Area of a circle = πr²
π = 3.14
r = 32/2 = 16
The diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
3.14 x 16² = 804 in
Help I need this done by today
Answers
Answer:
the total gradius is equal to 90 0n this angle the answer is 28
Step-by-step explanation:
90-52=28 plz the brainliest!
b = 38
angles in a right angle add to 90 degrees
To the nearest tenth, find the area of a circle with diameter of 6m. Use 3.14
Answers
Answer: 28.3 squared
Step-6 divided by 2= 3 then 3x3=9 then 9x3.14=28.26 then round 28.3
plsss help with this question lolz
Answers
Answer:
for output: 4, 6, 8, 10
Input: (i think) 1,5,5,1
Step-by-step explanation:
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
Answers
i got it right cus im smart
Someone plz help me giving brainliest
Answers
Answer:
B. 5 2/5
Step-by-step explanation:
Use the long division solution to convert the original fraction ( 27/ 5 ) to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction ( 5 ) , and the fraction portion of the mixed number will be the remainder of the original fraction division ( 2 ) over the denominator of the original fraction ( 5 )
The measurement of angle D is _____ degrees
Answers
Answer:
157
Step-by-step explanation:
PLEASE HELP WITH ONE I NEED THE WORK FOR IT!! 20 POINTS AND BRAINLIEST
Answers
Answer:
too blurry
Step-by-step explanation:
Answer:
1. Missing length-8.48528137424
2. Missing length- 13.9283882772
3. Missing length-17.3205080757
4. Missing length- 14.7986485869
can someone please tell me what angle x is
Answers
Answer:
it's an angle X duh he he he be
Two sides are same so their opposite angles will also be same.
So,
75+75+x =180 [ sum of angles of triangle ]
Or, 150+x = 180
Or, x= 180-150
Or, x=30
The dimensions of a rectangle can be expressed as x−1 and x+5. If the area of the rectangle is 91 square inches, what are the dimensions of the rectangle? Make sure to enter BOTH dimensions.
Answers
Answer:
13 x 7
Step-by-step explanation:
area = L x W
91 = (x - 1)(x + 5)
x² + 5x - x - 5 = 91
combine like terms:
x² + 4x - 5 = 91
subtract 91 to each side of the equation:
x² + 4x - 96 = 0
factor:
(x + 12)(x - 8)
x = 8
x - 1 = 7
x + 5 = 13
How many ways can I have 5 letters and 5 addressed envelopes, so that no letter is in the correct envelope
Answers
Answer:
22 ways.
Step-by-step explanation:
Which of the following lines bets fits the data shown in the scatter plot?
Answers
A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p
Answers
==================================================
Explanation:
Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.
We're given n = 12, and we need to find p.
The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92
So the equation to solve is 12p*(1-p) = 1.92
Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8
Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.
hey could someone help me with this question immediately!! i’ll mark brainiest if it’s correct.
Answers
the thousands placeeee