For the right triangles below, find the exact values of the side lengths b and d.
If necessary, write your responses in simplified radical form.
60°
30°
5
b
=b
45°
45°
d
7
=d
Answer:
Step-by-step explanation:
The question lacks the required diagram. Find the diagram attached below;
According to the first triangle, taking 30° as the reference angle, the opposite side of the triangle will be 5 and the adjacent will be the unknown side "b"
According to SOH, CAH, TOA;
tanθ = opposite/adjacent (using TOA)
Given;
θ = 30°, opposite = 5 and adjacent = b
tan30° = 5/b
b = 5/tan30°
b = 5/(1/√3)
b = 5*√3/1
b = 5√3
According to the 45° triangle, the opposite side of the triangle will be d and the hypotenuse will be 7
Using SOH;
sinθ = opposite/hypotenuse
Given;
θ = 45°, opposite = d and adjacent = 7
sin45° = d/7
d = 7sin45°
d = 7(1/√2)
d = 7/√2
Rationalize 7/√2
= 7/√2*√2/√2
=7√2/2
Hence the value of d is 7√2/2
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13
state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states
Answer:
Step-by-step explanation:
Total events = 75
A + B + C = 75 --------------(I)
State A had hosted the sporting event 9 more times then state C.
A = C + 9 ---------------------(II)
Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.
A + C = 4B + 5 ---------------------(III)
Substitute A = C + 9 in (III)
C + 9 + C = 4B + 5
2C + 4 = 4B + 5
2C = 4B + 5 - 9
2C = 4B - 4
Divide the whole equation by 2
2C/2 = 4B/2 - 4/2
C = 2B - 2 -------------(a)
Plugin the C = 2B - 2 in (II)
A = C + 9
A = 2B - 2 + 9
A = 2B + 7 ------------------(b)
Plugin the value of A & C from (a) & (b) in equation (I)
A + B + C = 75
2B + 7 + B + 2B - 2 = 75
Add the like terms
2B + B + 2B + 7 - 2 = 75
5B + 5 = 75
5B = 75 - 5
5B = 70
B = 70/5
B = 14
Plug in B value in equation (a)
C = 2B - 2
C = 2*14 -2
= 28 - 2
C = 26
Plugin B value in equation (b)
A = 2B + 7
= 2*14 + 7
= 28 + 7
A = 35
State A has hosted 35 times
State B has hosted 14 times
State C has hosted 26 times
Can somebody help me with math just text in comments below 360 times 4 + 77= ?
Answer:
1,517
Step-by-step explanation:
360 times 4 equals 1440. 1440 + 77 is 1517.
Suppose PR = 54, solve for QR
4x-1
3x-1
P
R
Answer:
[tex] QR = 23 [/tex]
Step-by-step explanation:
P, A, and R are collinear.
PR = 54
[tex] PQ = 4x - 1 [/tex]
[tex] QR = 3x - 1 [/tex]
To solve for the numerical length of PR, let's generate an equation to find the value of x.
According to the segment addition postulate:
[tex] PQ + QR = PR [/tex]
[tex] (4x - 1) + (3x - 1) = 54 [/tex] (substitution)
Solve for x
[tex] 4x - 1 + 3x - 1 = 54 [/tex]
Combine like terms
[tex] 4x + 3x - 1 - 1 = 54 [/tex]
[tex] 7x - 2 = 54 [/tex]
Add 2 to both sides
[tex] 7x - 2 + 2 = 54 + 2 [/tex]
[tex] 7x = 56 [/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{56}{7} [/tex]
[tex] x = 8 [/tex]
[tex] QR = 3x - 1 [/tex]
Plug in the value of x into the equation
[tex] QR = 3(8) - 1 = 24 - 1 [/tex]
[tex] QR = 23 [/tex]
59 in = how many feet and inches
Answer:
feet=4.91667
inches=708
Step-by-step explanation:
Answer:
4 ft. 11 in.
Step-by-step explanation:
Step 1:
59 ÷ 12
Step 2:
4 r 11
Answer:
4 ft. 11 in.
Hope This Helps :)
Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 112 minutes. Billy could mow the lawn by himself in 15 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Answer:
97 minutes
Step-by-step explanation:
solve using elimination method
-3x + 5y = 8
-2x + 7 y = -2
x = - 6
y = - 2
Step-by-step explanation:-3x + 5y = 8 | ×(-2)
-2x + 7 y = -2 | ×3
6x - 10y = - 16
- 6x + 21y = - 6
add
6x - 6x - 10y + 21y = - 16 - 6
11y = - 22
y = - 22 : 11
y = - 2
replace y
- 2x + 7(-2) = - 2
- 2x - 14 = - 2
- 14 + 2 = 2x
2x = - 12
x = - 12 : 2
x = - 6
What number can be added to -8 To get a sum of 0
Answer:
8.
Step-by-step explanation:
-8+8=0
What is the value of each marble?
Answer:
where
is
the
attachment
bruv?
Answer:
We wouldn't know because we have no information on the marbles.
Step-by-step explanation:
To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status
A square serving platter has an area of 49cm2. What is the side length?
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
Find the zeros of the function f(x) = -1.6x2 + 18x – 47 to the nearest
hundredth.
Answer:
Step-by-step explanation:
On a marathon course Amanda is 2mile behind Beverley and chad is 1 mile ahead of Beverly how far apart are Amanda and chad?
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hurdles did Eli jump over?
Solve for y.
-16y - 7y + -5 = 18
Y =
Answer: y = - 1
Step-by-step explanation:
Combine the like terms. -23y - 5 = 18Add 5 on both sides. -23y = 23Divide -23 on both sides. y = - 1Answer:
y = -1
Step-by-step explanation:
-16y - 7y + -5 = 18
~combine like terms
-23y + (-5) = 18
~add 5 to both sides to get -23y by itself
-23y = 23
~divide by 23 on both sides to get just y by itself
-1 = y
Hope this helps!!
Please mark as brainliest, i need it to get to next lvl <3
5. A turtle dives towards deeper water at a rate of 8 inches per second. It continues for a total of 16 seconds.
Which expression represents this situation?
A 16(-8)
B. -16(-8)
C. 16 / 8 ( / means division)
D. 16 / (-8) ( / means division)
Answer: B
Step-by-step explanation:
To find out how far the turtle went in 16 seconds you have to multiply 16 and -8
Answer:
I have the same question on test and answer is B
Step-by-step explanation:
Find the unknown length y in the pair of similar triangles.
Similar triangles have a scale factor that determine the length of each side.
15 / 7.5 = 2
The scale factor = 2
17 / 2 = 8.5
y = 8.5
The cost to rent a moving van is $28 plus an additional $7 per hour. For $49, what is the maximum amount of time that a moving van can be rented for?
Answer:
3 hours
Step-by-step explanation:
49-28=21
21/7=3
A total of 716 tickets were sold for the school play. They were either adult tickets or student tickets. There were 66 more student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
325
Step-by-step explanation:
Let the number of adult tickets sold be x
Therefore, number of students tickets sold = x + 66
Since,
Number of adult tickets + number of student tickets = 716
Therefore,
x + x + 66 = 716
2x + 66 = 716
2x = 716 - 66
2x = 650
x = 650/2
x = 325
Hence, 325 adult tickets were sold.
6(2x-3)-8=-2
Solve for x! Tyy
Answer:
x=2
Step-by-step explanation:
use distributive property for the first part the solve like usual
hope this helped
6(2x -3) - 8 = -2 (remove the parantheses)
12x - 18 - 8 = -2 (calculate)
12x - 26 = -2 (move the constant to the right)
12x = -2 + 26 (calculate)
12x = 24 (divide both sides)
x = 2
31. One February day, the low temperature in
St. Paul, MN Was - 170. Over a period of three
hours, the temperature rose 5°F per hour.
After three hours, what the was the
temperature?
Answer:
-2°F
Step-by-step explanation:
The starting temperature was -17°F. If the temperature rose 5°F per hour, and we're looking for the temperature after three hours, the change in temperature was +15°F.
-17 + 15 = -2°F
Write the slope-intercept form of the equation of the line given the
slope and y-intercept.
slope = -4; y-intercept = -7
Answer:
y= -4x-7 or 4x+y= -7
Step-by-step explanation:
we know y=mx+c
given,
m=-4 c=-7
the equation y= -4x-7 or 4x+y= -7
thank u
Answer:
y=-4x-7
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -4, and the y intercept of this same line is -7
We want to write the equation of this line in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept, hence the name
As we are given the values for both the slope and the y intercept of this line, we can immediately substitute those values into the equation
Let's start with the slope; substitute -4 as m in the equation
y=-4x+b
Now with the y intercept; substitute -7 as b into the equation
y = -4x - 7
Hope this helps!
See more on this topic here: https://brainly.com/question/22607472
g the order of operations.
3(4) + 4(5)
Answer:
16
Step-by-step explanation:
3(4) + 4 (5)
4+5+9
3+4=7
7+9
16
Find the quotient.
3.6÷0.08
Answer:
45
Step-by-step explanation:
Good luck!
2. Graph the system of inequalities. Make sure your solution area is clear in your graph.
Then name a Solution Point____________ & a Non-Solution Point_____________
y ≥ 2x - 1
y ≥ -4
y < -x + 2
Fun fact:
The longest word in any of the major English language dictionaries is pneumonoultramicroscopicsilicovolcanoconiosis, a word that refers to a lung disease contracted from the inhalation of very fine silica particles, specifically from a volcano; medically, it is the same as silicosis.
Cool right? Here are more fun facts.
1 “I am” is the shortest complete sentence in the English language.
2 Supercalifragilisticexpialidocious (*breath*) is NOT the longest word in English.
Like that?
Banging your head against a wall for one hour burns 150 calories.
In Switzerland it is illegal to own just one guinea pig.
Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.
Answer: The answer is skew!
Step-by-step explanation:h
When lines are not parallel, and they do not intersect, such lines are said to be skewed.
Line AC and RS are skew.
From the diagram, we have two planes.
Plane xPlane yLine AC is on plane x, while line RS is on plane y
Plane x and plane y are not parallel;
So lines AC and RS are not parallel.
Also, both lines are not parallel.
Using the condition of skewness stated above, we can conclude that line AC and RS are skew.
Read more about skewness at:
https://brainly.com/question/1995934
PLEASE HELPPP!!!
Which statement translates the equation?
8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?
Answer:
its c
Step-by-step explanation:
2. What decimal equals seven hundred forty-six thousandths?
A. 0.0746
B. 0.7461
C. 7,400.6
1
D. 7,400.006
Answer:
A. 0.0746
Step-by-step explanation:
Because it is in the thousandths place
PLEASEPLEASEHELP i need
Answer:
B
Step-by-step explanation:
hope you get the best grade