Answer:
sin 870 degree = sin 870° = sin( 720°+ 150° ) sin 150° = sin 30° = 1/2
Step-by-step explanation:
add 4 1/7+5 3/7+2/7.
Answer:
9 6/7 is the answer
classify the following triangle as acute obtuse or right
A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?
Answer:
y = 2x - 8Step-by-step explanation:
The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2[/tex]
y = mx + b ← slope intercept form
(8, 8) ⇒ x = 8, y = 8
so:
8 = 2·8 + b
b = - 8
The equation: y = 2x - 8
Matthew has been asked to determine the height of a tree. He measured the height from the ground to his eye and found that it was 5 feet. He used a protractor to measure the angle between the horizontal and his line of sight to the top of the tree. He found that angle to measure 70 degrees He also determined his distance from the tree and found that it measured 12 fect. Use the information to determine the height of the tree .
Answer:
Height of the tree is [tex]37.88[/tex] feet
Step-by-step explanation:
The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.
Height of the tree [tex]= 5 + X[/tex]
[tex]tan \Theta =[/tex] Perpendicular / Base
[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]
Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet
What is the value of x in the triangle?
Answer:
X is 28
Step-by-step explanation:
All angles in a triangle ad up to 180 degrees.
85 + 67=152
180-152=28.
Hope it helped.
Answer:
28
Step-by-step explanation:
All triangles equal 180.
85+67=152
180-152=28
Your answer is 28
all expressions equivalent to 6x+1-(3x-1)
The verticals of the triangle shape are A (-2, 4) , B (-2,3) , and C (-5,2). If ABC is reflected across the line y = -1 to produce the image of A'B'C', What's the coordinate of B' after a reflection across the line y=-1?
Given:
The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).
Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.
To find:
The coordinate of B' after a reflection across the line y=-1.
Solution:
If a figure is reflected across the line y=b, then
[tex](x,y)\to (x,-(y-b)+b)[/tex]
[tex](x,y)\to (x,-y+b+b)[/tex]
[tex](x,y)\to (x,2b-y)[/tex]
The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is
[tex](x,y)\to (x,2(-1)-y)[/tex]
[tex](x,y)\to (x,-2-y)[/tex]
The coordinates of point B are (-2,3). So,
[tex]B(-2,3)\to B'(-2,-2-3)[/tex]
[tex]B(-2,3)\to B'(-2,-5)[/tex]
Therefore, the coordinates of point B' are (-2,-5).
Hellooo can someone help me :)
Step-by-step explanation:
You will need the hypotnuse. to find that use a squared plus b squared is c squared
help pls me , help pls
Guided Practice
x
0
1
2
3
y
3
4
7
12
Write a function rule that best models the data in the table.
A.
y = 3x + 1
B.
y = x + 3
C.
y = x2 + 3
Answer:
Step-by-step explanation:
List all of the solutions.
x =
0 =
1 =
2 =
3 =
y =
3 =
4 =
7 =
12 =
The number of students enrolled at a college is 14,000and grows 4%each year
Answer:
so what exactly is the question? it's not complete yet, I guess..what do you want me to find?
An average Sandhill crane is 37 inches tall. This is 22 inches less than the average Whooping Crane’s height. Write and solve an equation to show the average height of the Whooping crane.
Answer:
37 - 22 = WC height
Step-by-step explanation:
Please please someone help me!!! ill give brainliest this is 20 points pleeasee help
Answer:
F = - 20h + 450
Step-by-step explanation:
Since the relationship is linear then the function is of the form
F = ax + b
Calculate a using the slope formula
a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table
a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then
F = - 20h + b ← is the partial equation
To find b substitute any ordered pair from the table into the partial equation
Using (3, 390 ), then
390 = - 60 + b ⇒ b = 390 + 60 = 450
F = - 20h + 450 ← linear function
A wheel on Ravi's bicycle is 0.5m in diameter. Ravi races the bicycle for 47m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
29.9 times or approximately 30 times
Step-by-step explanation:
circumference=[tex]\pi d[/tex]
3.14×0.5
=1.57
so, 47/1.57
=29.9363057325
Simplify the following expression:
[tex]7x^{5}y^{3}(x^{5} y^{5} )[/tex]
determine the intercept line of y=-7x+3y=−7x+3
Answer:
3
Step-by-step explanation:
The slope-intercept form for an equation allows us to quickly identify the intercept of a graph. The general form of slope-intercept is written as:
y = mx + b
Where m is the slope, b is the intercept, and y & x are two data points from the graph.
Some one help pleaseeere
Answer:
m = 2/3, you were correct
Step-by-step explanation:
plot the point on a graph
calculate the rise by going up alongside the y axis
the rise is 2
calcualte the run it takes to get to the second point
the run is 3
m = rise/run = 2/3
m = 2/3
Plz mark as brainliest if correct! Have a nice day!!!
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)
A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer or
BC- AC = AB
does this strategy seem like a good one?
use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle
SOH Sin = Opp / Hyp
CAH Cos =Adj / Hyp
TOA Tan = Opp / Adj
where Opp = Opposite side, Adj = Adjacent side , and Hyp = Hypotenuse
we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.
when AC is the Adj side it's
Tan(60) = 70 / Adj
Adj = 70 / Tan(60)
Adj = 40.4145
Dist. of AC = 40.4145 m
When BC is the Adj side it's
Tan(40) = 70 / Adj
Adj = 70/ Tan(40)
Adj = 83.42275
Dist. of BC = 83.42275
BC - AC = AB
83.45575 - 40.4145 =43.008
to the nearest tenth AB = 43.0 m
Erza's bill for breakfast at a Restaurant was $98.85 . he left a 20% tip. what was the total cost if his breakfast, including tip?
Answer:
Step-by-step explanation: first you have to divide to get your answer
98.85/20%= $494.25 is ur answer
Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?
Reward:Brainliest
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answer:
15:00 PM and 3:00 PM ,they mean the same exact thing
Step-by-step explanation:
Part D
Write an expression for the area of square 5 by combining the areas of the four
triangles and the one square.
IM CONFUSED PLEASE HELP
Answer:
the area would be 10 i
Step-by-step explanation:
reason being the base is 4 and the height is 5 the answer was right for me
what i has highlighted in the picture is the answer
Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Bob earns $2900 per month. 15% of his salary is deducted for his car loan.
First, we need to calculate the deduction for the car:
Deduction= 2,900*0.15
Deduction= $435
Now, the monthly salary that remains for Bob:
Montlhy salary= 2,900 - 435
Monthly salary= $2,465
Choose the equation that could be used to solve for the missing side.
HELP ME PLZZZZZ!!
the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
.
Simplify the expression. (–5g5h6)2(g4h2)4
A. 25g26h20
B. –25g26h20
C. 25g15h14
Answer:
Step-by-step explanation:
(–5g^5 h^6)^2 × (g^4 h^2)^4 the ^ carot symbol means raised to power X
(25 g^10 h^12) × (g^16 h^8) exponents raised to powers MULTIPLY
-5² = 25 g^5² = g^10 h^6² = h^12 do the same thing with (g^4 h^2)^4
25 g^(10+16) h^(12+8) collecting terms powers ADD
25 g^26 h^20 Which letter is the answer?
Did you follow my explaination?
Answer:
B. –25g26h20
Step-by-step explanation:
What’s the answer to this problem?
Does anyone know this ? Thank you in advance
Answer:
D. W corresponds to E
A box of 35 Cowboy Crunch cookies costs $5.40. Matthew has a $2.25 off coupon. If Matthew uses his coupon, what will be the price per cookie?
9 cents per cookie
Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35
The graph shows the locations of point C and point D. Point E is graphed at (n, 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
Answer:
4,n=4
Step-by-step explanation:
D=(n,-2) and E=(n,2)
the distance from D to E ,
√{(n-n)^2+(-2-2)^2}=√16=4
the co-ordinate of point C=(0,-2)
given,DC=DE
→√{(n-0)^2+(-2+2)^2}=√16
→n^2=16
therefore,n=4