Answers
Answer:
A
Step-by-step explanation:
So we want to find the tangent of Angle QSR.
First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:
[tex]QSR+TSQ=180[/tex]
We already know that TSQ is 150, thus:
[tex]QSR+150=180[/tex]
Subtract:
[tex]QSR=30[/tex]
So, QSR is 30 degrees.
Find tangent of 30 degrees.
[tex]\tan(30)[/tex]
1) If you know the unit circle:
At 30 degrees, our coordinate is:
[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]
So, our answer would be:
[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]
Simplify:
[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
2) If you don't know the unit circle.
Recall that 30-60-90 is a special right triangle.
The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.
Therefore, tangent of 30 is opposite over adjacent. Thus:
[tex]\tan(30)=opp/adj[/tex]
Substitute x for opposite and x√3 for adjacent. Thus:
[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]
Remove the x:
[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]
Multiply both layers by √3. So:
[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]
Our answer is A :)
Related Questions
Evaluate the expression, given functions f and h: f(x) = 3x − 2, h(x) = −2x2 + 3x − 6. f(7/3) - h(-2)
Answers
Answer:
The answer is 25Step-by-step explanation:
f(x) = 3x - 2
h(x) = - 2x² + 3x - 6
First to find f(7/3) substitute the value of x that's 7/3 into f (x)
That's
[tex]f( \frac{7}{3} ) = 3( \frac{7}{3} ) - 2 \\ = 7 - 2 \\ \\ f( \frac{7}{3} ) = 5 \: \ \: \: \: \: \: \: \: \: \: \: \: [/tex]To find h(-2) substitute the value of x that's - 2 into h(x)
We have
[tex]h( - 2) = - 2 ({ - 2})^{2} + 3( - 2) - 6 \\ = - 2(4) - 6 - 6 \\ = - 8 - 12 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ h( - 2) = - 20 \: \: \: \: \: \: \: [/tex]So we have
[tex]f( \frac{7}{3} ) - h( - 2) = 5 - - 20 \\ = 5 + 20[/tex]We have the final answer as
25Hope this helps you
Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L. Which statements are true based on the diagram? Select three options. Points N and K are on plane A and plane S. Points P and M are on plane B and plane S. Point P is the intersection of line n and line g. Points M, P, and Q are noncollinear. Line d intersects plane A at point N.
Answers
Answer:
Points N and K are on a plane A and plane S ( True )
Points P and M are on a plane B and plane S
Point P is the intersection of line n and line g ( True )
Points M, P, and Q are noncollinear ( True )
Line d intersects plane A at point N.
Step-by-step explanation:
Just took the test and got it right :)
The true are 1, 3, 4 and false are 2, 5.
To choose the statement are true or false.
What is plane?A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.
Given that:
1. Points N and K are on plane A and plane S.
From that points N and K are on the plane A and on the plane S. Thus, this option is true.
2. Points P and M are on plane B and plane S.
From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.
3. Point P is the intersection of line n and line g.
Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.
4. Points M, P, and Q are noncollinear.
It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.
5. Line d intersects plane A at point N.
From the line d intersects plane S at point L, not at point N, then this option is false.
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Diagram is missing.
What is m What is m What is m
Answers
Answer:
honestly im not sure but i am doing that same work at the moment and i just ingore the m. it shouldnt change what you get as your answer.
Answer:
not sure but i hope yah find out
Step-by-step explanation:
Which decimal is equivalent to (5 × 10) + (2 × 1/100)? a 50.002 b 5.02 c 50.20 d 50.02
Answers
Answer:
d 50.02
Step-by-step explanation:
WILL GIVE BRAINLET !!!
2 1/12 + 4/12 ( show how u her the answer )
Answers
Answer:
2 5/12
Step-by-step explanation:
you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.
1/12+4/12 is the same as 1+4 you just put the sum over 12:
2 1/12+4/12= 2 5/12
it can also be written as 29/12
Jennifer is saving money to buy a bike. The bike costs $336. She has $128 saved, and each week she adds $16 to her savings. How long will it take her to save enough money to buy the bike? It will take her \weeks to save for the bike.
Answers
$208/$16= 13 weeks
A mountain climber starts a climb at an elevation of 453 feet above sea level. At his first rest stop he has climbed 162 feet, and by his second rest stop he has climbed another 207 feet. It's getting late in the day, so the climber starts his way down. If the climber descends 285 feet, how much does he need to ascend or descend to return to the original starting point?
Answers
Answer:
cool!
Step-by-step explanation:
Answer:At the end of the day, he is [162 + 207 - 285] = 84 ft above his starting height
Step-by-step explanation:
help please! I kind of forgot how to do these & I need a little bit of help, thank you!
Answers
Answer:
T
Step-by-step explanation:
Go to the right 1/4 of a unit and down 1/2 of a unit
The point is T
Write a paragraph proving that x=8 in the equation 7x-28=28
Answers
Answer:
[see below]
Step-by-step explanation:
We would need to undo the equation and preform inverse operations to get 'x' on one side. First, we need to get rid of 28 by adding 28 to each side. This would leave us with 7x on one side. Then, we wound divide each side by 7. This would leave us with 'x = 8'. If we plugged in the value, then it would satisfy the equation.
[tex]7x-28=28\\\\7x-28+28=28+28\\\\7x=56\\\\\frac{7x=56}{7}\\\\ \boxed{x=8}[/tex]
Checking the answer:
[tex]7(8)-28=28\\\\56-28=28\\\\\boxed{28=28}[/tex]
Hope this helps.
Evaluate this exponential expression.
4. (2 + 5)2 - 52 =
Answers
C.171
Step-by-step explanation:
4×7(2)-25
4×49-25
multiply 4×49=196-25
then subtract 196-25=171
Answer:
C. 171
Step-by-step explanation:
[tex]4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\[/tex]
find the area of the prism
Answers
Answer:
total surface area = 400 cm2
Step-by-step explanation:
What is the value of x in the equation 3x-4y=65, when y=4?
x=134
O x=21 / 3
O x=23
X=27
Answers
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed { \sf{x = 27}}}}}[/tex]
Step-by-step explanation:
Given, value of y = 4
To find : Value of x
[tex] \sf{3x - 4y = 65}[/tex]
plug the value of y
[tex] \dashrightarrow{ \sf{3x - 4 \times 4 = 65}}[/tex]
Multiply the numbers : 4 and 4
[tex] \dashrightarrow{ \sf{3x - 16 = 65}}[/tex]
Move 16 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{3x = 65 + 16}}[/tex]
Add the numbers : 65 and 16
[tex] \dashrightarrow{ \sf{3x = 81}}[/tex]
Divide both sides by 3
[tex] \dashrightarrow{ \sf{ \frac{3x}{3} = \frac{81}{3} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{ x = 27}}[/tex]
Hope I helped!
Best regards! :D
Answer:
Step-by-step explanation:
-4 x 4=-16 so you add the 16 to the 65 and get 81 so then you divide the 3 from the x so it would be 81/3=27
Zeke had 12 friends coming for his birthday party. He wanted each friend to get 1 1/3 pounds of candy. How many pounds of candy did he need to buy?
Answers
Explanation:
1 1/3 = 4/3 pounds of candy each
But he has 12 friends:
12 x 4/3 = 16 pounds of candy that he need to buy
There are 5 green jelly beans, 7 red jelly beans and 8 yellow jelly beans. What percent of the jelly beans are red?
Answers
Answer: 35%
Step-by-step explanation:
8 + 5 + 7 = 20
50% = 10
25% = 5
10% = 2
5% = 1
25% + 10% = 5+2
35% = 7
here’s a graph of the equation x + 3y = 6 select all coordinates pairs that represent a solution to the equation A) 0,2 B) 0,6 C) 2,6 D) 3,1 E) 4,1 F 6,2
Answers
Answer:
(0,2) (3,1)
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A and D.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
If we want to know whether a point is a solution to the equation or not, substitute it in the line and check whether both sides of the equation are equal or not.
A) 0,2
x + 3y = 6
0 + 3(2) = 6
6 = 3
B) 0,6
x + 3y = 6
0 + 3(6) ≠ 6
18 ≠ 6
C) 2,6
x + 3y = 6
2 + 3(6) ≠ 6
2 + 18 ≠ 6
D) 3,1
x + 3y = 6
3 + 3(1) = 6
3 + 3 = 6
6 = 6
E) 4,1
x + 3y = 6
4 + 3(1) ≠ 6
4 + 3 ≠ 6
F) 6, 2
x + 3y = 6
6 + 3(2) ≠ 6
6 + 6 ≠ 6
Hence, the correct option is A and D.
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if the statement is a rewrite as a conditional statement in if-then form, which best describes the conclusion? A student who earns 85% earns a B
Answers
Answer:
Step-by-step explanation:
cdfbdfbf
Answer:
"then a student earns a b"
Step-by-step explanation:
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200
Answers
Answer:
x = 200
Step-by-step explanation:
Given
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] y = 30 ← substitute y = 15 into the equation
[tex]\frac{1}{5}[/tex] x - [tex]\frac{2}{3}[/tex] × 15 = 30 , that is
[tex]\frac{1}{5}[/tex] x - 10 = 30 ( add 10 to both sides )
[tex]\frac{1}{5}[/tex] x = 40 ( multiply both sides by 5 to clear the fraction )
x = 200
The value of x is 200.
Here, given expression is
one-fifthx – two-thirdsy = 30,
We have to find the value of x when y = 15.
What is Mathematical expression?
Mathematical expression is a way where calculations and analytical processes should be observed.
Now, given expression is
⇒ one-fifthx – two-thirdsy = 30,
⇒ [tex]\frac{1}{5} x - \frac{2}{3} y = 30\\[/tex]
When y = 15
⇒ [tex]\frac{1}{5} x - \frac{2}{3} *15 = 30\\\\\frac{1}{5} x -2* 5 = 30\\\\\frac{1}{5} x = 30 + 10\\\\\frac{1}{5} x = 40\\\\x = 200[/tex]
Hence, The value of x is 200.
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Solve step by step 3(2x-4)=8
Answers
Answer:
x = 3.33... or 10/3
Step-by-step explanation:
3(2x - 4) = 8
distribute the 3 into the parentheses
3 • 2x = 6x
3 • -4 = -12
6x - 12 = 8
add 12 to both sides
6x = 20
divide both sides by 6
x = 3.33... or 10/3
Answer: x = 10/3
Step-by-step explanation:
3(2x-4) = 8 apply the distributive property on the left side
6x - 12= 8 Add 12 to both sides
+12 +12
6x = 20 Divide both sides by 6
x= 20/6 which simplifies to 10/3
Camilla has twice as many blueberry jelly beans as cherry jelly beans. After eating 10 pieces of each kind, she now haas three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have?
Answers
Answer:
40 blueberry jelly beans
Step-by-step explanation:
Let us represent blue berry beans = b
Cherry jelly beans = c
Camilla has twice as many blueberry jelly beans as cherry jelly beans.
Hence,
b = 2c .........Equation 1
After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.
hence,
b - 10 = 3(c - 10)
b - 10 = 3c - 30
Collect like terms.
- 10 + 30 = 3c - b
20 = 3c - b .........Equation 2
Subtitute 2c for b in Equation 2
20 = 3c - 2c
20 = c
Hence, she had 20 cherry jelly beans.
In the question, we are asked to find how many blueberry jelly beans she had.
Hence,
b = 2c .........Equation 1
Substituting 20 for c in Equation 1
b = 2 × 20
b = 40
Therefore, she originally had 40 blueberry jelly beans
Seventeen members of Tim's family are going to an amusement park during the week of their family reunion. Adult tickets cost $34 each and child tickets cost $31.50 each. If the total cost for admission to the part is $558, how many adults went to the park? a 7 b 8 c 9 d 10
Answers
Answer:
c.
Step-by-step explanation:
Let x be the number of adults in Tim's family. Then (17 - x) is the number of children in Tim's family.
We have $34x + $31.5(17 - x) = $558.
$34x + $31.5(17 - x) = $558
$34x + $535.5 - $31.5x = $558
$2.5x = $22.5
x = 9
Hence the answer is c.
Aimee buys a plant that is 22 7/8 inches tall. After a month, the plant has grown 4 2/3. What is the height of the plant after the first month
Answers
Answer:
27 13/24 inches
Step-by-step explanation:
Assuming the reported monthly growth is for the first month, the height will be ...
22 7/8 + 4 2/3 = (22 +4) +(21/24 +16/24) = 26 +37/24 = 27 13/24
The height of the plant after the first month is 27 13/24 inches.
_____
Your graphing calculator can add these mixed numbers for you.
Point T is on line segment SU. Given ST = 2x + 6, TU = 4, and SU = 4x, determine the numerical length of ST
Answers
Step-by-step explanation:
Point T is between Points S and U, where all 3 points are collinear.
Therefore ST + TU must be equal to SU.
(2x + 6) + 4 = 4x
2x + 10 = 4x
2x = 10
x = 5.
Hence, length of ST = 2(5) + 6 = 16.
The length of ST will be 16 units.
What is a line segment ?A line segment is basically a line with two end points.
two or more than two co-linear points is needed to form a line segment.
In the given question
Line segment is SU
Point T is in between point S and point U here all the points are co-linear
SU = ST + TU
4x = (2x + 6) + 4
4x = 2x + 10
2x = 10
x = 5
∴ The length of ST = 2x + 6 = (2×5) + 6 = 16 units
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What is the solution to 4x-8=12 please explain.
Answers
Answer:
x=5
Step-by-step explanation:
4x−8=12
Step 1: Add 8 to both sides.
4x−8+8=12+8
4x=20
Step 2: Divide both sides by 4.
4x
4
=
20
4
x=5
Answer:
One solution, x=5.
Step-by-step explanation:
4x-8=12
To find the solution we have to find the value of x.
to find the value of x, we have to add 8 to BOTH sides.
4x-8=12 (Why add 8? because we have to do the opposite of the sign!)
+8 +8
4x=20
Now to find X we have to ISOLATE IT.
So we take out 4, How? We do the opposite to both sides.
4/4 Cancels out
20/4 = 5
So now we know X=5
Insert in the main problem to check.
4(5)-8=12
20-8=12
12=12
Which list shows all the doctor pairs of 64
Answers
Answer:
Factors of 64: 1, 2, 4, 8, 16
Step-by-step explanation:
21/[2*(19-14)-3] (the / means division btw)(* means multiply)
Answers
Answer:
The answer you're looking for is 3
Step-by-step explanation:
Answer:
[tex]3[/tex]
Step-by-step explanation:
Start with:
[tex]\frac{21}{[2*(19-14)-3]}[/tex]
First, subtract the values in your parentheses.
At this point, we can remove the brackets.
[tex]\frac{21}{2(5)-3}[/tex]
Multiply.
[tex]\frac{21}{10-3}[/tex]
Subtract.
[tex]\frac{21}{7}[/tex]
Simplify.
[tex]3[/tex]
The height of a painting is 48 ronded ft. Between which two consecutive whole numbers is 48 rounded
Answers
Answer:
47 and 49
Step-by-step explanation:
This would not be between two consecutive whole numbers. Any number from 47.5 and less than 48 would round up, and any number from 48 to less than 48.5 would round down. It might be consecutive odd numbers that you meant, or your question is not clear enough.
anyone help please ?
Answers
Answer:
work is shown and pictured
Robby ate 4 potato chips. Jimmy ate p times as many potato chips as Robby. Which expression shows how many potato chips
Jimmy ate?
OA. 4:P
OB. 4-p
OC. 4+p
OD 4xp
Answers
Answer:
4 times p
Step-by-step explanation:
Please help me, I need the answer now! Will mark brainliest.
Answers
Answer: It is D
Step-by-step explanation: The numbers are going by fives.
a bus is traveling at a constant speed. if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour?
Answers
Answer:
46 1/2 miles
Step-by-step explanation:
Given:
Distance = 15 1/2 miles
Time = 1/3 hour
Distance =?
Time = 1 hour
Distance : time
15 1/2 miles : 1/3 hour = ? miles : 1 hour
31/2 miles ÷ 1/3 bout = x miles / 1 hour
31/2 × 3/1 = x / 1
93 /2 = x
x = 93/2 miles
= 46 1/2 miles
Therefore, the bus will travel 46 1/2 miles in an hour