Answers
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Related Questions
9(15-3+4) =
Need help Asap
Answers
Answer:
144
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
When solving something like you first are going to add what's inside the parenthesis. So.....
(15-3+4) add 3 and 4
(15-7) subtract 7
(8) plug back in
9(8) = 72
Can someone help me find (x)
Answers
Answer:
120°
Step-by-step explanation:
This is a regular hexagon and that means all angles have equal measures
The sum of interior angles in a hexagon is equal to 720°
6x = 720 divide both sides by 6
x = 120
After Michael finished his workout, his heart rate decreased by 100 beats per minute. If it took 10 minutes, on average how many beats per minute did his heart rate decrease?
Answers
Answer:
10
Step-by-step explanation:
Answer:
does this mean 100 x 10
Step-by-step explanation:
well.....................
Caleb’s school is five blocks due north of his home, and the library is two blocks due west of his home. If each city block is a square with sides measuring 275 feet, which of the following is the closest to the straight-line distance from Caleb’s school to the library?
Answers
Answer:
The closest straight-line distance from Caleb's school to the library is:
1480.92 feetStep-by-step explanation:
Imagine a triangle, where five blocks are a side and two blocks another side, to obtain the closest straight-line distance from Caleb's school to the library you can use the Pythagoras theorem, where the hypotenuse is the closest straight-line:
[tex]perpendicular^{2} +base^{2} =hypotenuse^{2}[/tex]Clearing the hypotenuse is:
[tex]\sqrt{perpendicular^{2}+base^{2}}= hypotenuse[/tex]Now, you only need to identify the distance in each case:
Five blocks = 275 feet * 5 = 1375 feet.
Two blocks = 275 feet * 2 = 550 feet.
At last, you must replace the distances found in the equation cleared:
[tex]\sqrt{1375 feet^{2}+550 feet^{2}}= hypotenuse[/tex]Hypotenuse or closest straight-line = 1480.92 feet.Identifying this, the closest straight-line distance from Caleb's school to the library is 1480.92 feet.
Ferdie was having a big party and he was excited. He had been practicing his opening lines all week and as soon as he he got to the part, 20 girls at the party left. There now remained 2 boys for each girl. A lot of the other boys thought the party was pathetic, so 20 of the boys also left. There were now 3 times as many girls as boys. How many boys and girls were at the party when Ferdie got there?
Answers
Answer: Boys = 24
Girls = 32
Step-by-step explanation:
Let the original number of boys = b
Let the original number of girls = g
The following can be further gotten from the question:
When 20 girls left, the equation can be written as:
b = 2(g - 20)
b = 2g - 40 ........ equation i
When 20 boys left, the equation can be written as:
(g-20) = 3(b-20) ......... equation ii
Substitute the value of b into equation ii and solve.
(g-20) = 3(b-20)
g - 20 = 3(2g - 40 - 20)
g - 20 = 3(2g - 60)
g - 20 = 6g - 180
6g - g = 180 - 20
5g = 160
g = 160/5
g = 32
Therefore, the original number of girls = 32.
The original number of boys will be:
b = 2g - 40
b = 2(32) - 40
= 64 - 40
= 24
Convert the following decimal to a fraction.
34
Answers
Answer:
34/1
Step-by-step explanation:
34 is a whole number so it can only have a one thrown under it
What is the answer to -8/9 * 5/6=?
Answers
Answer:
I think the answer is -0.74074074074
Step-by-step explanation:
Answer:
Step-by-step explanation:
(− 8 /9 )( 5 /6 )
=
−8 /9 ( 5/ 6 )
=
−20 /27
The ratio of girls to boys in Mr. Jones class is 2:3. If there are 12 girls in the class, how many boys are in the class?
Answers
Answer:
18 boys
Step-by-step explanation:
PLSSS HELP ME I WILL MARK!!!!!!!!
Answers
5(w - 1 1/10) = - (w - 8 2/5)
Answers
Answer:
w=3.65
Step-by-step explanation:
If you had a triangle with side lengths of 2, 4, and 5, and
dilated it with a scale factor of 2.5, what would be the
side lengths of the resulting image?
Answers
Answer:
5,9,12.5
Step-by-step explanation:
After dilation, the final side lengths of the triangle become -
a' = 5 units, b' = 10 units, c' = 12.5 units
What is Dilation?A dilation is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].
Given is a triangle with side lengths of 2, 4, and 5 and is dilated with a scale factor of 2.5
We have a triangle whose side lengths are -
a = 2 units
b = 4 units
c = 5 units
Scale factor = [k] = 2.5
Now, after dilation the final side lengths will become -
a' = 2.5a = 2.5 x 2 = 5 units
b' = 2.5b = 2.5 x 4 = 10 units
c' = 2.5c = 2.5 x 5 = 12.5 units
Therefore, after dilation, the final side lengths of the triangle become -
a' = 5 units, b' = 10 units, c' = 12.5 units
To solve more questions on dilations, visit the link below-brainly.com/question/15162911
#SPJ2
i need help is -7+9 = -9+7 true false or open
Answers
Answer:
false
Step-by-step explanation:
-7+9 = 2
-9+7 = -2
2 does not equal -2
False
find the y intercept of the line 2y = 10x - 10
Answers
Answer:
y=5x-5Here you go i hope this helpsOut of 80 stores surveyed, 75% provided insurance to their full time employees. How many stores in the survey gave their employees insurance?
Answers
Answer:
The answer would be 44% of stores give insurance
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
80x75%=60%
YOUR WELCOME
Which is the slope of the line y = -3x + 2?
A. -3
B. -2
C. 2
D. 3
Answers
Answer:
A-3
Step-by-step explanation:
f(x) = 3x + 2
What is the function?
Answers
Answer: f−1(y)=y−23.
Step-by-step Explanation: Let y=f(x)=3x+2. Solve for x ... Subtract 2 from both ends to get: y−2=3x. Divide both sides by 3 to get: x=y−23.
Solve: 3x -6/3 = x + 3/6
Answers
Answer:
x= 1/2
Step-by-step explanation:
start by adding 6/3 to both sides. the negative 6/3 on the left side will disappear, and the right side will equal one. (6/3 + 3/6= 9/9 = 1).
Youll end up with:
3x=x+1
now, subtract x from both sides to get:
2x=1
Divide both sides by two to get
x=1/2
The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long distance calls. Find the length of a call for which the hotels charge the same amount.
Answers
Answer:
answer is 20
2. What is the total cost, rounded to the nearest penny, of 3.5 pounds of corn at $0.35 per pound and 1.5 pounds of tomatoes at $0.74 per pound? Explain:
Answers
Answer:
2.335 is what i calculated and i think that would round to $2.35
Step-by-step explanation:
Jamal buys a new racing bicycle. Two shops charge the same price for the bicycle but offer different payment plans. Shop 1 requires $260 down and a monthly payment of $20. Shop 2 requires $140 down and a monthly payment of $30. Write an equation to represent the payment plans where m is the number of months payments are made.
Answers
Answer:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
Step-by-step explanation:
m = number of months payments are made
Total payment made = down payment + monthly payment
Shop 1 requires $260 down and a monthly payment of $20.
Shop 1 = $260 + $20m
= 260 + 20m
Shop 2 requires $140 down and a monthly payment of $30.
Shop 2 = $140 + $30m
= 140 + 30m
The equations that represent the payments plans are:
Shop 1 = $260 + $20m
Shop 2 = $140 + $30m
evaluate expression when a=-7 and c=6 a-6c
Answers
Answer:
-43
Step-by-step explanation:
Answer:
c = − 6
Step-by-step explanation:
evaluate using suitable property 891 × 93 - 891×3
Answers
Answer is a 80,190
I hope it is helpful for you ...
URGENT !!!!!!!!!What is the value of x when the expression 3x + 6 equal the expression -15 + 6x WHat does x=__? BEST ANSWER FOR BRAINLYEST
Answers
Answer: x= 2
Step-by-step explanation:
hope this helped :)
Answer:
x=7
Step-by-step explanation:
well there's a simple way to do this, you out each side by side like so and solve:
3x+6=-15+6x
then you move like terms to the other side (like terms have the same variables). So we'll add 15 to both sides to balance the equation out because you cant remove a number from one side without affecting the other so:
3x+21=6x
then because we don't want an equation equal to 0 we move 3x to the other side by substracting 3x from both sides:
21=3x
now we divide by 3 both sides and because 21 divided by 3 is 7:
x=7
hope it helped (^u^)
What is 1/6 of 24% of $7,000?
Answers
Answer:
$280
Step-by-step explanation:
A veterinarian is vaccinating cattle. One bottle of vaccine is 8 ounces. How many 2 3 3 2 -ounce doses can the veterinarian get out of one bottle of vaccine? How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
Answers
Complete Question
A veterinarian is vaccinating cattle. One bottle of vaccine is 8 ounces.
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
Answer:
a) 5 1/3 ounces or 5.3333333333 ounces
b) 2 2/3 ounces or 2.67 ounces
Step-by-step explanation:
a) How many 2/3 -ounce doses can the veterinarian get out of one bottle of vaccine?
This is calculated as:
2/3 ounces of 1 bottle
2/3 ounces of 8 ounces
= 16/3 ounces
= 5 1/3 ounces or 5.3333333333 ounces
b) How many ounces of vaccine will be left in the bottle after she draws the maximum number of doses out?
This is calculated as:
8 ounces - 5 1/3
= 2 2/3 or 2.67 ounces
180 heartbeats in 3 minutes
? heartbeat (s) per minute
Answers
Answer:
60
Step-by-step explanation:
180÷3=60
if it is unclear or you need more explanation, ask freely.
(7 * 10-5) * (5 x 10-) =
? x 10
Answers
Answer:
3250
Step-by-step explanation:
Simplify the expression 6 + 5x - (-3x)
Answers
Answer:
= 6+8x
Step-by-step explanation:
Answer:
6 + 8x
Step-by-step explanation:
Let's simplify step-by-step.
6+5x−−3x
=6+5x+3x
Combine Like Terms:
=6+5x+3x
=(5x+3x)+(6)
=8x+6
hope that helps :)
I have 5 minutes someone please tell me what to graph !
(Slope problem)
Answers
i don't understand this..