Answers
Answer:
[tex]ST=11.2\:\mathrm{m}[/tex]
Step-by-step explanation:
Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.
In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.
The Law of Cosines is given as:
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
Plugging in values, we get:
[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].
Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:
[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].
Using this, we can set up the following proportion to solve for [tex]ST[/tex]:
[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].
Related Questions
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x − 1)2 − 2
f(x) = −(x + 1)2 − 2
f(x) = (x + 1)2 – 2
f(x) = (x − 1)2 − 2
Answers
Answer:
The second answer is the correct one, f(x) = -(x + 1)² - 2
Step-by-step explanation:
We know that the answer must either be the second or third, because those two have (x + 1) squared, which means that the vertex must have an x co-ordinate of -1.
We also know that the third one can't be correct, as the y-coordinate of -6 requires a negative coefficient of the x^2. Without that the parabola would be moving upward from its vertex of (-1, -2).
With those we can eliminate all answers but the second one
Answer:
Step-by-step explanation:
Write the equation of the function of a parabola with vertex at (–1,–2) and a point (1,–6) that lies on the curve.
Question 9 options:
f(x) = −(x + 1)2 − 2
Test your knowledge of lines with the following:
Answers
HELP ME AGAIN PLSSSSS
Answers
Answer:
16
Step-by-step explanation:
4^2 = 16
4×4=16 thats the answer
4 x 4=16
Hope that helps you! :)
help please 21/r = 15/14
Answers
Answer:
19.6 Don't ask how just give brainliest
Answer:
19.6
Step-by-step explanation:
Annie walks 15 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Annie's eyes are 5 feet above the ground. Annie and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Annie's eyes, the mirror, and the ground are congruent as shown in the image below:
Image depicts a mirror on the ground between a person and a house. The mirror is 4 feet away from the person and 15 feet away f
What is the height of the house? Show your work and explain your reasoning in complete sentences.
Answers
Answer:
The house is 18.75 feet tall
Step-by-step explanation:
The triangles are similar by the AA postulate.
We are given the length of the bottom sides of the triangles, 4 and 15 respectively.
Thus, the ratio is 4:15
We are also given the height of Annie's eyes, which is 5 feet. The height of the side that corresponds to the house is 5, so we can set up a proportion.
[tex]\frac{4}{15} = \frac{5}{x} \\4x = (5*15) = 75\\x = \frac{74}{4} \\x = 18.75[/tex]
Thus, the house is 18.75 feet tall.
During class, students were asked to talk to their neighbor to determine whether
3/9 represents a repeating decimal or a terminating decimal. Diego told his
neighbor that 3/9 represents a terminating decimal. Is Diego correct? Explain
your reasoning in a full sentence.
Your answer
Answers
Explanation: If we either divide 3/9 on a calculator or simplify the fraction into lowest terms, we are left with a repeating decimal of 0.333333...
Terminating decimals are those which end with a finite number of decimals after the point. Since 3/9 does not end with a specific amount of numbers after the decimal point, it will repeat forever and is not a terminating decimal.
PLS HELP ASAP THIS IS DUE TODAY SOON I NEED ANSWERS FOR BOTH THE PROBLEMS CAN U WORK THEM OUT FOR ME PLS
Answers
the prime factorization of 140 is 2^2 x 5 x 7
the prime factorization of 80 is 2^3 x 5 x 2
What is the solution
A. -2
B.1
C.(1,2)
D.(1,-1)
Answers
Answer:
Option D
Step-by-step explanation:
Two lines given in the graph represent the system of linear equations.
Solution of the system of linear equations is given by the common points of both the lines Or point of intersections of these lines.
Point of intersection of these lines → (1, -1)
Therefore, solution of the given system of equations will be (1, -1)
Option D is the answer.
HELP! whoever gets it right gets brainliest!
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer is B
Answer:
The answer is B
Step-by-step explanation:
BBBBBBBBBBBBBBBBBBBBBBBBBB IS THE ANSWER
I will give brainiest to whoever answers correctly !!
Answers
Answer:
thanks for the oints
Step-by-step explanation:
Given that P(B|A)=0.75 and P(A)=0.47, what is P(B AND A)? Round to three decimal places.
Answers
Answer:
0.627
Step-by-step explanation:
use a number line to show the following operations (a) -5+7-2 (b) -4×3 (c) 3.5+4.5
Answers
Hey there!
• A.
–5 + 7 – 2 = ?
–5 + 7 = 2
2 – 2 = 0
Answer: 0 ☑️
• B.
–4 * 3 = ?
“Guide”
• Negative & Negative = Positive
• Positive & Positive = Positive
• Negative & Positive = Negative
• Positive & Negative = Negative
• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!
–4 * 3 = –12
Answer: –12 ☑️
• C.
3.5 + 4.5 = ?
5 + 5 = 10
• CARRY your 1
3 + 4 + 1 = ?
3 + 4 = 7
7 + 1 = ?
Answer: 8 ☑️
You basically had to do ORDER OF OPERATIONS / PEMDAS
(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answers
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
a streamer going downstream in a river cover the distance between two towns in 15 hours coming back upstream it covers the distance in 20 hours the speed of the water is 3 kilometre per hour . find the distance between two towns
Answers
Answer:
360 km
Step-by-step explanation:
Let stream speed = x
Speed of water = 3km/hr
Therefore,
Upstream speed = (x - 3) km/hr
Downstream speed = (x + 3) km/hr
Time taken downstream = 15 hours
Time taken upstream = 20 hours
Recall:
Distance = speed * time
Upstream Distance = downstream distance
20(x - 3) = 15(x + 3)
20x - 60 = 15x + 45
20x - 15x = 45 + 60
5x = 105
x = 105 / 5
x = 21
Upstream speed = (21 - 3) = 18
Distance between the two towns :
18 * 20 = 360 km
The spring shown below is sitting on a flat surface and it is pushed together with a weight.
What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
Help plz
Answers
Answer:
its elastic i got it correct trust me also put brainliet plz
Step-by-step explanation:
Hi I need help please
Answers
Answer/Step-by-step explanation:
Recall: if two figures are similar, we know that the ratio of their areas = the square of the ratio of their corresponding sides
Apply this knowledge to solve the problems given.
✔️Problem 1 (4-sided polygon):
Let the missing area be x cm²
Therefore,
[tex] \frac{x}{9} = \frac{8^2}{4^2} [/tex]
[tex] \frac{x}{9} = \frac{64}{16} [/tex]
[tex] \frac{x}{9} = 4 [/tex]
Multiply both sides by 9
x = 9*4
x = 36 cm²
✔️Problem 2 (3-sided polygon):
Let the missing area be y cm²
Therefore,
[tex] \frac{y}{240} = \frac{8^2}{32^2} [/tex]
[tex] \frac{y}{240} = \frac{64}{1,024} [/tex]
[tex] \frac{y}{240} = \frac{1}{16} [/tex]
Multiply both sides by 240
y = ¹/16 × 240
y = 15 cm²
✔️Problem 3 (5-sided polygon):
Let the missing area be z cm²
Therefore,
[tex] \frac{z}{40} = \frac{3^2}{2^2} [/tex]
[tex] \frac{z}{40} = \frac{9}{4} [/tex]
Multiply both sides by 40
[tex] z = \frac{9}{4} * 40 [/tex]
[tex] z = \frac{9}{1} * 10 [/tex]
z = 90 cm²
Someone please help! I’m willing to pay for someone to help me with my five problems!
Answers
Answer:
28
Step-by-step explanation:
Since the line is perpendicular to the line coming out of the middle of the circle, both sides are going to be the same. So 14 + 14 =28
If you need more help, you can comment! :)
Which of the following is NOT a level of measurement? nominal ratio qualitative ordinal
Answers
Answer:
Nominal.
Step-by-step explanation:
The option that is NOT a level of measurement is qualitative.
With qualitative, numbers are not assigned to the measurement.
A level of measurement classifies and relates values to variables. Four levels of measurement have been identified as nominal, ordinal, interval, and ratio.
Ordinal can be quantitative or qualitative, while interval and ratio are always quantitative, and nominal has non-quantitative values assigned as measurements.
Thus, qualitative is not a recognized level of measurement.
Learn more about levels of measurement at https://brainly.com/question/24148016 and https://brainly.com/question/4823744
Triangle TSR is similar to Triangle TNM
Which statement below is true?
Answers
Answer:
[tex]\overline{SR}\sim \overline{NM}[/tex]
Step-by-step explanation:
In similar triangles, all corresponding sides are similar. Since [tex]SR[/tex] corresponds with [tex]NM[/tex], they are similar. None of the other answer choices use corresponding sides.
Find the volume of the prism.
Answers
Answer:
360 ft^3
Step-by-step explanation:
plz brainliestt
Look at the table.
Cars Sold
Annual Bonus
120
$1,800
130
$1,950
150
$2,250
175
$2,625
What is the annual bonus for a salesperson who sells 55 cars?
$150
$825
$1,500
$8,250
Answers
Answer: $825 (B)
Step-by-step explanation:
it’s obvious
Answer: The answer is B!
Step-by-step explanation: It's on edge, hope this helped!
It takes 3 gallons of gas to drive 102 miles. How many miles can be driven on 16 gallons of gas?
Answers
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16
Answer:
544
Step-by-step explanation:
102 divided by 3 to find how many miles per gallon which is 34 then multiply by 16 which is 544.
The sum of the enterior angles of any triangle is equal to:
Answers
Answer:
is equal to 180°
I hope it's helps you
-12 +15 + (-30) +17= (?)
Answers
Answer:
-10
Step-by-step explanation:
-12+15=3
(-30)+17=-13
3+(-13)=-10
PLEASE I NEED ANSWERS FAST ILL GIVE BRAINLIEST
Answers
Answer:
4. C: 98 degrees because the angles are consecutive angles
5. E: None of the above
Explanation: 102 degrees because the angles are corresponding angles
6: C: 103 degrees is vertical to angle B and Angle B is corresponding to angle X.
Step-by-step explanation:
Answer:
4. C, 5. E, 6. C
Step-by-step explanation:
4.
Angles x and 82 degrees are supplementary (add up to 180).
x = 180 - 82 = 98
These angles are consecutive interior angles (they're on the inside).
5.
Angles x and 102 degrees are the exact same.
These angles are corresponding angles. So it's none of these, not vertical or alternate interior.
6.
103 degrees is vertical to <b and <b is corresponding to <x.
Hope this helps!
500 is 37% of what number
A 37
B 74
C 185
D 370
Answers
Answer:
C i guess
Step-by-step explanation:
The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.
Answers
Step-by-step explanation:
lenght = x + 8
width = x
[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]
then
Lenght = x + 8 = 20 + 8 = 28
Width = x = 20
Step-by-step explanation:
L=8+2W
P=2L+2W
P=2(8+2W)+2W
P=16+4W+2W
P=16+6W
P=96
96=16-6W
80=6W
W=13.3333
What’s a perfect cube
M
Answers
Romeo will roll a 6 sided number cube numbered 1-6 what is the probablility of rolling an odd number on the first roll and then number 4 on the second roll. a 1/12. b 1/6. c 1/4 d 1/3
Answers
Answer:
D
Step-by-step explanation:
Answer:
[tex]a.\: \frac{1}{12}[/tex]
Step-by-step explanation:
The probability he will roll an odd number on the first roll is [tex]\frac{1}{2}[/tex] as there are three odd numbers and three even numbers on a fair six-sided dice.
The probability he will roll the number 4 on the second roll is [tex]\frac{1}{6}[/tex] as out of the six numbers, only one is the number 4.
Therefore the probability of both happening is [tex]\frac{1}{2}\cdot \frac{1}{6}=\fbox{$a.\: \frac{1}{12}$}[/tex].
find the equation of the line that is perpendicular to y=-2/3x and contains the point (4 -8)
Answers
Answer:
y = 3/2x + -14
Step-by-step explanation:
y = -2/3 x
has a slope of -2/3
We want a line perpendicular
Take the negative reciprocal to find the slope
- (1 / -2/3)
3/2
The slope of a line perpendicular is 3/2
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 3/2x +b
Substitute a point into the equation
-8 = 3/2(4) +b
-8= 6+b
Subtract 6 from each side
-8-6 = b
y = 3/2x + -14