Find the length of the third side. If necessary, write in simplest radical form.
Answers
Answer:
[tex]\boxed {\boxed {\sf 8}}[/tex]
Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
Where a and b are the legs of the triangle and c is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:
[tex]a= 7 \\b= \sqrt{15}[/tex]
Substitute these values into the formula.
[tex](7)^2+(\sqrt{15})^2=c^2[/tex]
Solve the exponents.
(7)²= 7*7=49[tex]49+ (\sqrt{15})^2=c^2[/tex]
(√15)²=√15*√15=15[tex]49+15=c^2[/tex]
Add.
[tex]64=c^2[/tex]
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
[tex]\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c[/tex]
The third side length is 8.
Answer:
8
Step-by-step explanation:
Related Questions
3.65 is greater than or less than 3and1/5
Answers
Answer:
Greater
Step-by-step explanation:
It is greater because 3 & 1/5 is technically 3.20 which obviously results with 3.65 being greater than 3.2. Also if you go into detail with it 3.65 is kinda 3 & 3/5. Thanks. Let me know if you find any fault in my answer. Have a good day!
Geologists recorded the duration (in seconds) of over 500 recent eruptions of the Old Faithful geyser in
Yellowstone National Park. Here's a histogram showing the distribution of their data:
= 210
0.26
0.22
0.18
0.15
Relative frequency
0.11
0.07
0.04
0.00
75
300
150 225
Duration (seconds)
Suppose that we were to take random samples of 30 eruptions from this population and calculate į as the
sample mean duration of the eruptions in each sample.
Which graph shows the most reasonable approximation of the sampling distribution of ?
Answers
Answer: C (A unimodal histogram, and the dotted line lands at 210)
Step-by-step explanation:
Khan Academy - “The sample size is reasonably large (n = 30 _> 30), so the sampling distribution of x will be approximately normal even though the population isn’t.”
MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.
Answers
(E/10) = m
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20. Estimate the percent of the data that are less than 150 or greater than 190.
Answers
Using the normal distribution, we find that 32% of the data that is less than 150 or greater than 190.
----------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
----------------------------
The data in a data set are normally distributed with a mean of 170 and a standard deviation of 20.
This means that [tex]\mu = 170, \sigma = 20[/tex]
----------------------------
Less than 150:
As a proportion, it is the p-value of Z when X = 150, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 170}{20}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.16.
0.16x100% = 16%
----------------------------
More than 190:
As a proportion, it is 1 subtracted by the p-value of Z when X = 190, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{190 - 170}{20}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16x100% = 16%
----------------------------
Estimate the percent of the data that are less than 150 or greater than 190.
We add both percentages, thus:
16% + 16% = 32%
32% of the data that is less than 150 or greater than 190.
A similar question is given at https://brainly.com/question/14694610
20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)
Answers
Answer:
315.5cubic in
10.4 x 4.5 x 6.5=
Step-by-step explanation:
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answers
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
what is axis of symmetry?
Answers
Answer:
The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.
Step-by-step explanation:
Answer:
Step-by-step explanation:
An axis of symmetry is a line that cuts your graph into two equal parts. In other words, the graph is symmetric about the line.
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answers
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
What is 1 1/4 + 3 3/8 = pls show your work
Answers
Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
QUESTION: Find the value of "A'' in the set of the supplementary angles... if you dont know dont answer i will give brainlist for it
Answers
Answer:
the picture isnt loading. it says error.
Step-by-step explanation:
Mrs. DeMarco wants to estimate the height of her garage
oor. Select the best benchmark for her to use.
the width of a paperclip
the length of a baseball bat
the height of a license plate
how far she can walk in 20 minutes
Answers
Answer:
length of baseball bat.
Step-by-step explanation:
she can measure the bat and times by how many times she could fit the bat there u know
Evaluate the function requested. Write your answer as a fractic
B
f
52
20
A
48
Find tan A.
Answers
Answer:
b. Tan A = 5/12
Step-by-step explanation:
Recall: SOHCAHTOA.
Since the trigonometric function we are to find is Tan A, we would use TOA, which is:
Tan θ = Opp/Adj
θ = A
Opp = 20
Adj = 48
Thus:
Tan A = 20/48
Simplify the fraction
Tan A = 5/12
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
Answer:
1) congruent
2) corresponding angles
3) 3x+21 = 6x-60
4) x =9
Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
Lena is saving money to buy a game. So far she has saved $12, which is three-fourths of the total cost of the game. How much does the game cost?
Answers
Answer:
12(3/4)=9
12/4=3
3•3=9
If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?
Answers
Answer:
$150
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or: I= p * r * t
2(5+xi)-21+5i=3yi^2-3yi
Answers
Answer:
x = -8, y = 11/3
Step-by-step explanation:
PLS, HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF I KNOW ITS A VIREIS.
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.
Write a question that could be answered by solving the equation 10−0.035d=4.
Answers
Answer:
How many days will it take for the water to be 4m high?
Step-by-step explanation:
use the missing variable.
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answers
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
find the least common multiple of 16,30,36 no links or file
Answers
9514 1404 393
Answer:
720
Step-by-step explanation:
The LCM of these numbers will have every factor that is part of these numbers.
16 = 2^4
30 = 2 × 3 × 5
36 = 2^2 × 3^2
So, the LCM will have factors of 2^4, 3^2, and 5:
LCM(16, 30, 36) = 2^4 × 3^2 × 5 = 720
720 = 16×45 = 30×24 = 36×20
The least common multiple is 720.
Find the area of the figure.
Answers
Answer:
91
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
(11 + 15) × 7 ÷ 2 = 26 × 7 ÷ 2 = 91
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answers
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Which is the quotient of 40 divided by 3?
Answers
which number multiplied by itself will give the output as 12345678987654321?
Answers
Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).
Solve the equation:
f÷8=20
Answers
Answer:
f=160
Step-by-step explanation:
all you really need to do is multiply 20 and 8 and you end up with 160
xsquare-8x+15 please help me answer it thank you
Answers
Step-by-step explanation:
[tex] {x}^{2} - 8x + 15 = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: or \: x = 5[/tex]
Given the figure below with m
HELP ASAP. I’LL MARK YOU BRAINLIEST!!
Answers
Answer:
c
Step-by-step explanation:
9514 1404 393
Answer:
C 83°
Step-by-step explanation:
The measure of inscribed angle BDA is half the measure of the arc it intercepts.
∠BDA = (1/2)arcBFA = (1/2)(166°)
∠BDA = 83°
Find x to the nearest tenth
Answers
Answer:
x=30.6
Step-by-step explanation:
I need 20 characters
I need help in this question. I am not understanding what it is telling me so HELP
Answers
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
Challenge #1 Press "Deal" to receive your cards. Drag cards from your hand to the red and blue area GOAL: Create two groups of cards with the SAME SUM using as many cards as possible. Submit 8,7,6,3,2,1
Answers
Answer:
ok
Step-by-step explanation:
:)
A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)
Answers
Answer:
264
Step-by-step explanation:
72 divided by 3= 24
24x11=264