Question 8 of 10
Which of the following could be the ratio of the length of the longer leg of a
30-60-90 triangle to the length of its hypotenuse?
Check all that apply.
I A. 15:2
B. 3: 215
O c. 2: 3.5
OD. 2: 15
O E. 2: 212
O F. 1: v
Answers
The option that could be the ratio of the length of the longer leg of a
30-60-90 triangle to the length of its hypotenuse is (√3)/2.
What is a hypotenuse?When describing right-angled triangles, the longest side is the side that is opposite the right angle. This side is that is called the "Hypotenuse"
With the aid of a diagram, the typical length of the sides of triangles measuring 30-60-90 is presented below.
Given that the longest side is 2xThe larger side is √(3x); andThe smaller side is xWe can thus surmise that the ratio of the longer leg and the hypotenuse can be computed as:
Longer side/Hypothenuse
= (√(3x))/2x
= (√3)/2
Learn more about a hypotenuse at:
https://brainly.com/question/2217700
#SPJ1
Related Questions
The graph of a function is shown:
Which of the following correctly identifies the set of outputs?
O {(-3,2), (-2, 1), (3, 3), (3, -1)}
O {(2, -3), (1, -2), (3, 3), (-1,3)}
O {-3, -2,3}
O {-1, 2, 3}
Answers
Answer:
C, (-3, -2, 3)
Step-by-step explanation:
I literally just had this question and i got a 100. You just find what the points are, and choose the y-axis point because it's the output, like the x-axis point is the input. So for starters, we can look at the point in the upper right square corner on the grid. You would go to the left 3 times, along the x-axis, and it would be -3. Then you would go up 2 times, along the y-axis, and it would be positive 2. So the plot for that point is (-3, 2) but we want the output which is the y-axis so it would be 2. Do the same with all of the points. [you can already rule out the first 2 choices because that's giving all of the points, not just the outputs] That leaves you with the bottom 2 and only one of the choices has the positive 2 which we already found. Hence, the answer is C. Trust me, it's not hard, i didn't have to read anything, i just figured it out. And if i can, you can. You got this!
The ratio of boys to girls in the freshman class is 2 : 3. If there are 120 boys in the class, how many are girls? *
40
120
80
180
Answers
Write an equation of the line passing through the point (2, 10) that is perpendicular to the line 2x+y=17.
Answers
Answer:
y = 0.5x + 9
Step-by-step explanation:
What we know:
An equation with the point (2,10) passing through it is perpendicular to the equation 2x+y=17.
The root of 2x+y=17 is (8.5, 0).
The two equations intersect at (3.2, 10.6)
Let's check if 3.2 and 10.6 work for 2x+y=17.
2(3.2) + 10.6 = 17
6.4 + 10.6 = 17, which is true.
Let's try y = 0.5x + 9, to see if we get the same output as the earlier equation.
y = 0.5(3.2) + 9
y = 1.6 + 9
y = 10.6, so 3.2 as x does work.
As a result, the perpendicular equation is y = 0.5x + 9.
Duke and Mary collect stamps. Duke has 1,364 stamps, and Mary has 1,808 stamps. How many stamps do they have in all?
A.
3,152
B.
3,162
C.
3,172
D.
3,272
Answers
Answer:
Mary and Duke have 3,172 stamps altogether
1,364 + 1,808 = 3,172
Tim has 80 coins in his piggy bank. Of these coins, 28 are nickels and the rest are quarters. What percent of the coins in the bank are quarters?
Answers
Answer:
65%
Step-by-step explanation:
I need help with this .please help me
Answers
Answer:
Step-by-step explanation:
Upper left
If $1=Rs. 102.50 and £ 1=Rs, 140, how many dollars equals to £5?
Answers
Answer:
$6.83= £5
Step-by-step explanation:
As £ 1=Rs 140
So, £5 = Rs 140 x 5
£5 = Rs 700 ...(i)
Now, Rs. 102.50 = $ 1
So, Rs. 1 = $ (1/102.5)
Therefore, Rs. 700 = $ (1/102.5)x 700 = $6.83
By using equation (i)
£5 = $6.83
Hence, there are $6.83= £5
In a new necklace, the ratio of star-shaped beads to moon-shaped beads is 5 to 2. If the necklace has 20 star shaped beads, how many total beads are on the necklace? Explain.
Answers
Answer:
28
Step-by-step explanation:
In the ratio:
star-shaped beads = 5
moon-shaped beads = 2
total number of beads = 5 + 2 = 7
ratio of star-shaped beads to total number of beads = 5:7
star-shaped beads = 20
Let x = total number of beads.
20/x = 5/7
Cross multiply.
5x = 20 * 7
Divide both sides by 5.
x = 4 * 7
x = 28
Answer: 28
please help its the last one i need ! Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answers
Answer:
See explanation
Step-by-step explanation:
The first option (4t - 8/5)... equals 16/3 t -23/5 (the fourth option in the first row)
The second option 7t - 22 (still in the first row) equals 3(3t-4)...(the third option in the second row)
The third option (still in the first row) 5(2t+1)... equals 3t + 33 (the final option in the second row)
The two options in the second row to the left equal each other
-11/4 t + 36 = (-9/2t + 3)+(7/4t + 33)
please help me on this
Answers
9514 1404 393
Answer:
y = 25, 17, 13, 5 . . . . (top-down order)
Step-by-step explanation:
Put the values of x in the expression for y and do the arithmetic.
y = 29 - 4×1 = 25
y = 29 - 4×3 = 17
y = 29 - 4×4 = 13
y = 29 - 4×6 = 5
the pta wants to cover the wet areas of the trail with wood chips. they find that one bag of wood chips covers 3 1/2-yard section of the trail. if there is a wet section of the trail that is approximately 50 1/4 yards long, how many bags of wood chips are needed to cover the wet section of the trail?
PLEASE THIS IS DUE IN 1 HOUR
Answers
On the number line below, P represents a number. What is the value of the opposite of that number?
Answers
Answer the Point-slope equation with line for given point and have the slope given
(4,-3),m=-1
Answers
Answer:
y + 3 = - (x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (4, - 3) , then
y - (- 3) = - 1 (x - 4) , that is
y + 3 = - (x - 4)
5x + 10y > 40
Need help with this it says to graph but I know how to graph I just need help on simplifying the equation.
Answers
Answer:
x > -2y + 8
Step-by-step explanation:
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answers
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
what is the value of f(5) in f(x)=-2(x+1)
Answers
Answer:
-12
Step-by-step explanation:
CONSIDER THIS SITUATION
A baker has 12 lbs of almonds. She puts them in bags, so that each
bag has the same weight. In terms of pounds and bags of almonds,
what would 12 = 6 mean?
Answers
Answer:
maybe you are splitting the 12 pounds of almonds into 2 so you have two bags of 6 pounds of almonds.
Step-by-step explanation:
This isn't for sure. Just a theory.
Answer: 12 lbs. of almonds is separated into 6 bag all of them weighing 2 lb. each
Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?
Answers
Answer: 24
Step-by-step explanation:
I got it right on edge
Answer:
Answer is 24
Step-by-step explanation:
ywwww :)
#DJPP
someone please help me with this !
Answers
Step-by-step explanation:
The coordinates of Point S(1,2)
The coordinates of point T(7,5)
length of ST=√(7-1)²+(5-2)²
|ST|=√36+9
|ST|=√45=3√5
Answer:
a) S(1,2) T(7,5)
b)3√5 = 6.7 ( approximately)
Step-by-step explanation:
Look at the picture below.
Hope you find this helpful
For the month of march, Kasey plans to vacuum her floor every fourth day and clean her bathroom every seventh day if she begins this march 1, on what day of the month will she do both jobs?
Answers
Answer: March 28
Step-by-step explanation:
Solve for this by checking for the lowest common multiple of 7 and 4.
Multiples of 7: 7, 14, 21, 28, 35
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32
Lowest is 28 so on March 28th she both will vacuum her floor and clean her bathroom.
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Answers
Not sure if the answer is correct
Alice spent $131 on shoes. Flip flops cost $15 and Sneakers cost $28. If she
bought a total of 7 shoes, then how many of each kind of shoe did she
buy? Write the answer as an ordered pair...(flip flops, sneakers). Do not
include the units. *
Answers
Answer:
Flip flops = 5
Sneakers = 2
Step-by-step explanation:
Let
x = flip flops
y = sneakers
x + y = 7 (1)
15x + 28y = 131 (2)
From (1)
x = 7 -y
Substitute x = 7 - y into (2)
15x + 28y = 131
15(7 - y) + 28y = 131
105 - 15y + 28y = 131
-15y + 28y = 131 - 105
13y = 26
y = 26/13
= 2
y = 2
Substitute y = 2 into (1)
x + y = 7
x + 2 = 7
x = 7 - 2
= 5
x = 5
Flip flops = 5
Sneakers = 2
Please help! It's an image.
The functionf(x)is shown in the graph.
What is the equation forf(x)?
Enter your answer in the box.
f(x)=
Answers
Answer:
y = 0.714 x -5
Step-by-step explanation:
at x =0, y = -5, means the constant is -5
at x= -7 y= -8,
-8= -7a -5
a=0.714
y = 0.714 x -5
The graph below displays the relative frequency distribution for X, the total number of dogs and cats owned per household, for the households in a large suburban area. For instance, 14 percent of the households own 2 of these pets.
Number of dog/ Relative Frequency
0- 0.36
1- 0.24
2- 0.14
3-0.09
4- 0.07
5- 0.04
6-0.04
7- 0.02
(a) According to a local law, each household in this area is prohibited from owning more than 2 of these pets. If a household in this area is selected at
random, what is the probability that the selected household will be in violation of this law? Show your work.
(b) If 12 households in this area are selected at random, what is the probability that exactly 3 of them will be in violation of this law? Show your
work.
(c) The mean and standard deviation of X are 1.65 and 1.851, respectively. Suppose 100 households in this area are to be selected at random and X , the
mean number of dogs and cats per household, is to be computed. Describe the sampling distribution of X , including its shape, center, and spread.
Answers
Answer:
maybe 7 divided by 2 or o.o2 divided by 7
Step-by-step explanation:
y=-x Identify the slope and y-intercept
Answers
Answer:
57
Step-by-step explanation:
the number with the equation
Answer:
Slope: m = -1 y-intercept: b = 0Step-by-step explanation:
slope-intercept form of equation: y = mx + b
wherae m is the slope and b is the y-intercept
So:
y = -x
y = -1x + 0 ⇒ m = -1 b = 0
What is the value of s ?
Answers
Answer:
The value is 17
Step-by-step explanation:
This is because to find the hypotenuse you use the equation [tex]a^{2} + b^{2} =c^{2}[/tex].
So you would square 15 and 8 then add them up to get [tex]c^{2}[/tex]. After this you just need to find the square root of [tex]c^{2}[/tex] to get "c" by itself or in this case "s".
The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centimeter, would the average human fingernail grown in one year?
Answers
Answer:
4.164 cm
Step-by-step explanation:
Given that:
Growth of an average human fingernail = 3.47 mm per month
One mm (millimeter) = 0.1 cm (centimeter)
To find:
Growth of an average human fingernail in one year = ?
Solution:
Here, we are given the growth for one month.
There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.
Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times
Growth in one year = 12 \times 3.47 mm = 41.64 mm
In millimeters, the growth of an average human fingernail = 41.64 mm
Let us convert it into centimeters by multiplying it with 0.1.
Therefore growth in centimeters = 41.64 mm [tex]\times[/tex] 0.1 = 4.164 cm
The physical education teacher assigns each student a number from 1 to 100 and uses a
computer to randomly generate a list of 30 numbers to select the students for the
sample. What type of sampling is being used?
Answers
Answer:
Simple random sampling
Step-by-step explanation:
The type of sampling used here is simple random sampling(SRS) because SRS is defined as the sampling technique where a group of subjects known as sample are selected for study from a larger group known as population. Thereafter, each individual will be entirely chosen by chance and then each member of the population will have an equal opportunity of being included in the sample.
Thus question given corresponds to this definition.
How do you write a slope parallel to a line?
Answers
Answer:
slope is m. Parallel means it has the same slope as the line it's parallel to. Let's say the slope of line 1 is 3, and your y intercept is 12. The equation would then be y = 3x + b and b would be 12 bc x would be 0 at y intercept making the equation become y = (0)x+b and for y to be 12, b has to be 12 in this case. So y = 3x + 12
Isolate k
C= 8+g∙k
How do you Isolate K by itself
Answers
k=(C-8)/g
Explanation:
Since our goal is to isolate k, we would have k on one side of the equal sign and everything else we move to the other. We do this by performing inverse operations to both sides (ex. The inverse of adding is subtracting and the inverse of multiplying is dividing).
C=8+gk
Subtract both sides by 8
C-8=8+gk-8
C-8=gk
Divide both sides by g
(C-8)/g=gk/g
(C-8)/g=k
k=(C-8)/g
I hope this helps!