The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? What is the length of the
hypotenuse?
Answers
The length of the short leg will be 10.4. And the length of the hypotenuse will be 20.8.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The length of the longer leg of a 30-60-90 triangle is 18.
Then the length of the short leg will be
tan 30° = x / 18
x = 10.4
Then the length of the hypotenuse will be
sin 30° = 10.4 / h
h = 20.8
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ1
Related Questions
Find the value of x in this triangle
Answers
Answer:
No you find it jkSum=1802x+2x+x=1805x=180x=36 Two bottom angle are similar 2(36)= 72 The last angle is 36The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
Answers
Divide j by 9 and the multiply the quotient by 2
Answers
Answer:
Step-by-step explanation:
you will need to do:
j/9*2=2j/9
Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?
Answers
Answer:
4 packs of erasers and 0 packs of pencils
Step-by-step explanation:
To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs
wore
Jackie buys 5kg of flour.
She is making pizzas that each need 300g
of flour.
What is the maximum number of pizzas
that Jackie can make?
How much flour will Jackie have left?
Can you give me the answer
Answers
5 kg = 5,000 g
5,000 g × (1 pizza)/(300 g) = 5,000/300 pizzas = 16⅓
16 pizzas
6/5 of ______ is 30
Please help
Answers
—————-
5x1= 5
180/5=36
5/5 =1
36/1
Answer : 36
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
Please help will mark brainlist .
Answers
The line across which a figure is flipped is called the line of transformation.
True
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Find the area of the shape shown below.
3.5
2
2.
units?
Answers
9514 1404 393
Answer:
26.75 square units
Step-by-step explanation:
Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...
A = (1/2)bh
A = (1/2)(9)(3.5) = 15.75 . . . . square units
__
Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...
A = (1/2)(b1 +b2)h
A = (1/2)(9 +2)(2) = 11 . . . . square units
The sum of these areas is the area of the shape:
total area = 15.75 +11 = 26.75 . . . . square units
In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?
Write the equation and your solution.
Answers
Answer:
i dk and stop callin me slime
Step-by-step explanation:
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Equation is [tex]w^2+4w-60=0[/tex]
Given :
a rectangular flower bed is designed to be 4 meters longer than it is wide
60 square meters are needed for the plants in the bed.
Let 'w' be the width of the flower bed
and 'L' be the length of the flower bed
Length is 4 meters longer than its width
Length L= w+4
We know that the area of rectangle = length times width
[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]
Given that the area is 60 square meters
Replace A by 60 and solve for 'w'
[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]
Width cannot be negative, so width = 6 meters
length = width +4 = 6+4=10 meters
Dimension of rectangular bed is
length = 10 meters and width = 6 meters
Learn more: brainly.com/question/19579804
10.3
Problem Solving
33/5 as a whole number
Answers
Answer:
6 and 3/5
Step-by-step explanation:
Find a. Round to the nearest tenth.
Answers
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?
Answers
Answer:
Step-by-step explanation:
What is the relation of the slopes of perpendicular lines or segments?
A) congruent
B) both positive
C)opposite reciprocals
D)both negative
Answers
Answer:
C
Step-by-step explanation:
In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects.
Answer: D both negative
Step-by-step explanation:
How do I do this? Please only the best help.
Answers
Answer:
77.5 degrees and 102.5 degrees
Step-by-step explanation:
Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:
b = a + 25 degrees
But;
a + b = 180 degrees (sum of angles on a straight line)
a + a + 25 degrees = 180 degrees
2a = 180 degrees - 25 degrees
a = 77.5 degrees
b = 77.5 degrees + 25 degrees = 102.5 degrees
Therefore the measures of all angles formed by the lines is either 77.5 degrees or 102.5 degrees.
. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 15 freshmen, 18 sophomores, 10 juniors, and 7 seniors. If all students are equally likely to be picked, determine the probability of the group contains exactly seven seniors and three juniors.
Answers
Answer:
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
7 seniors, from a set of 7.
3 juniors, from a set of 10. So
[tex]D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120[/tex]
Total outcomes:
10 students froms a set of 50. so
[tex]T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{120}{10272278170} \approx 0[/tex]
Approximately 0% probability of the group contains exactly seven seniors and three juniors.
When 2/3 tons of coal cost $13.50, what will in ton cost?
Answers
Answer:
20.25
Step-by-step explanation:
Divide 13.50 by 2 and then multiply by 3.
10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals
Answers
Answer:
c)1 goal
Step-by-step explanation:
Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.
Hope this helps.
PLEASE HELPPPPP ME IN BEGGING YOU
Answers
Answer:
im going to say its B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
All you gotta do is take each angle and subtract it from 180. Jus learned dis in geometry.
180-133= 47
180-108=72
180-119=61
A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?
1 pound = 16 ounces
Answers
Answer:
80 Ounces!
80 ounces is equivalent to 5 pounds of flour.
answer for 11 points and brainliest
Answers
Answer:
Constant, $19/sweater
Step-by-step explanation:
You can check each of data by dividing cost/number.
38÷2=19
76÷4=19
133÷7=19
171÷9=19
Doing this will tell you the price of 1 sweater, which is $19.
CAN SOMEONE PLEASE HELP ME?
Solve the equation: (5x+1/2)^2=9/16
Answers
Answer:
x=-7/160
Step-by-step explanation:
(05.06)Use a net to find the surface area of the right triangular prism shown below:
Three rectangles next to each other with a width of 8 feet. The first and second rectangles length are unknown, and the last is 13 feet long. There are two right triangles above and below the last rectangle. One is labeled with a base of 5 feet and a height of 12 feet.
88 square feet
232 square feet
283 square feet
300 square feet
Answers
Answer: The answer is 300
Step-by-step explanation: The triangle formula = ( B · H) ÷ 2
B = 5 H = 12 5 · 12 = 60 ÷ 2 = 30
Since there is two triangles you will have two 30's.
The rectangle farthest to the right = 13 · 8 = 104
If you unfold the triangle it will line up perfectly with the 3 rectangles, so...
The middle rectangle = 5 · 8 = 40
The rectangle farthest to the right = 12×8 = 96
Add them all up
30 + 30 + 104 + 40 + 96 = 300
Hope this helped!
Answer:
300
Step-by-step explanation:
use the volume formula to find the volume of the prism.
Answers
Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
I NEED HELP FAST Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
Answers
There are two ways to verify whether the value of ( h ) assumed to be equal to 9 satisfies the given equation:
13 + h = 21
13 - 13 + h = 21 - 13
0 + h = 8
h = 8
8 ≠ 9
13 + ( 9 ) = 21
22 = 21
22 ≠ 21
3) Conclude: The given value of ( h ) is not a solution of the given equation.
find the vertical asympotes y= 3/ x+5
Answers
Answer:
the vertical asymptotes is x= -5
Explain your answer !!
Have a great day
Will give brainlst
Answers
what information is necessary to prove the triangles congruent by ASA? by AAS ? show your work please.
Answers
Answer:
See Explanation
Step-by-step explanation:
For ASA
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \angle Q \cong \angle F[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
For AAS
[tex] \angle P \cong \angle G[/tex]
[tex] \angle R \cong \angle E[/tex]
[tex] RQ \cong EF[/tex]
[tex] \triangle PRQ \cong \triangle GEF[/tex]
how do u write an equation in slope intercept form to describe a graph
Answers
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
7. Use substitution. What is the solution
to the system of equations? Explain.
This is the question and equation please helpppppp
Answers
3x + 48 - 48 = 3x
x = 0
y = 1/4(0) + 4
y = 4
y= x/4+4
2) substitute- y=x/4+4 into y-48=3x
3x=3x
Hope this helps, and I hope you get your marks :)