In XYZ right angled at Y. find the length of the hypotenuse if the length of the other two sides is 1.6 cm and 6.3 cm.
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The Pythagorean theorem applies. You want c for a=1.6, b=6.3.
c² = a² +b²
c² = 1.6² +6.3² = 2.56 +36.69 = 42.25
c = √42.25 = 6.5
The length of the hypotenuse is 6.5 cm.
Do 9a, 9b, 9c please quick due in 5 minutes also pleaseeee show step by step thanks I will mark brainlest and give extra points people please
Step-by-step explanation:
The answer to 9a is that A and B have to be on the right side of the number line but A has to be greater than B.
The first and second box for 9c is > .
Someone help solve ill gift you nitro :)
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
Jill and a friend are going hiking. They bring with them a container that holds 1/2 of a gallon of water. If they share the water equally what fraction of a gallon will each friend get?
Answer:
¼
Step-by-step explanation:
Solution,
Total quantity=½ gallon
Each friends quantity=½/2
=¼ gallon
Help plssssss it’s an emergency
Answer:
All I know is that the -3 should be there without the 1/3 because that makes no sense to me. And...
Step-by-step explanation:
3x+8=-4
Subtract 8 from both sides.
3x+8−8=−4−8
3x=−12
Step 2: Divide both sides by 3.
3x=−12
3 3
x=−4
Answer: Tyler's work is incorrect because when subtracting 8 from both sides of the equation, he didn't subtract it from -4. If he subtracted 8 from -4, it would've been 3x=-12.
The correct answer is x = -4
Step-by-step explanation:
you get x = -4 by subtracting 8 from each side of the equation, resulting in 3x = -12
then you divide both sides by 3, leaving you with x = -4
What is the length of side s of the square shown below?
45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4
Answer:
D. √2
Step-by-step explanation:
Solve for x by applying trigonometric ratio.
Reference angle = 45°
Hypotenuse = 2
Adjacent side = s
Thus:
Cos (45) = adj/hyp
Cos (45) = s/2
2×Cos(45) = s
2 × √2/2 = s (cos (45) = √2/2)
√2 = s
s = √2
What type of angles are these?
Complementary, Supplementary, or Neither
Got It? Do these problems to find out.
-15
85° | 90°
75
Answer:
a: Neither; b: Complementary
Step-by-step explanation:
Complementary= 90 degrees
Supplementary= 180 degrees
For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.
For letter b. the answer is complementary because 75 +15= 90 degrees.
Need help with it today
Answer:
C
Step-by-step explanation:
s - 7 + 5
s - 2
find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2
Answer (assuming it can be put in point-slope format):
[tex]y + 4 = 3(x-2)[/tex]
Step-by-step explanation:
You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, [tex]y-y_1 = m (x-x_1)[/tex].
1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or [tex]y = mx + b[/tex]. The coefficient of the x term, or [tex]m[/tex], represents the slope - so, the slope must be 3.
2) Now, use point-slope formula,[tex]y-y_1 = m (x-x_1)[/tex], to write the equation. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute 3 for [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for [tex]x_1[/tex] and -4 for [tex]y_1[/tex]. This gives the following answer:
[tex]y - (-4) = 3 (x-(2))\\y + 4 = 3(x-2)[/tex]
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ1
The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ1
What is the Answer pls help
Answer:48ft
Step-by-step explanation:
solve for brainliest
9514 1404 393
Answer:
∠W = 130∠X = 140∠Y = 50∠Z = 40Step-by-step explanation:
Using 'y' and 'z' to represent angles with the corresponding names, we have ...
y + z = 90
(3b -1) +(2b +6) = 90 . . . . substitute the given expressions
5b +5 = 90 . . . . . . . . . . . . simplify
b +1 = 18 . . . . . . . . . divide by 5
b = 17 . . . . . . . . subtract 1
Then the angles are ...
y = 3b -1 = 3(17) -1 = 51 -1 = 50
z = 2b +6 = 2(17) +6 = 34 +6 = 40 . . . . note that these are complementary, as theys should be
Angles W and Y form a linear pair, so are supplementary:
W = 180 -Y = 180 -50 = 130
Angles X and Z form a linear pair, so are supplementary:
X = 180 -Z = 180 -40 = 140
Then the angle measures are ...
∠W = 130∠X = 140∠Y = 50∠Z = 40Pls help will mark brainlest
Answer:
15 bags
Step-by-step explanation:
She can fill 5 bags per each pound (because there are 5 [tex]\frac{1}{5}ths[/tex] per pound)
Since there are 3 pounds, and , again, each pound can fill 5 bags, she will need 15 bags.
Another way too look at it is to ask how many 1/5ths are in 3 pounds. To find this answer mathematically:
3 ÷ 1/5 = 15 because when we divide by a fraction, we need to flip it and then multiply (so 3 ÷ 1/5 is actually 3×5)
Mr. Budas needs 2 feet of trim molding to put around one of the
doors to his shed He has a piece that is of a foot and another piece
that is of a foot. Estimate to determine if he has enough molding.
Help me please guys .
What is the answer?
4.3
4.2
4.1
4.4
Please I need help haha it’s for math
Answer:
1600
Step-by-step explanation:
pls brainliest
Answer:
hope it helped have a good day mate
Which of the following is equivalent to In 4x+5inx-in2xy
Adrienne has chickens and ducks on her farm. She has 48 chickens and 28 ducks. What ratio describes the number of ducks to the number of chickens?
An Analyst wants to know if there was a significant difference in the average of hours worked in a week from 2000 (Group 1) to 2004 (Group 2). He gathers all the data from the General Social Survey, and lists the following summary statistics from the sampling.
Year 2000 2004
Mean 27.34 48.12
Std. Dev 10.11 19.23
Unweighted n 43 54
Required:
What is the correct null hypothesis?
Answer:
H0 : μ2004 - μ2000 = 0
Step-by-step explanation:
Given the data:
Year ________: 2000 ___ 2004
Mean ________ 27.34 ___ 48.12
Std. Dev _______10.11 ____ 19.23
Unweighted n 43 54
The hypothesis is to test if there was a significant difference in the average number of hours worked in a week from 2000 to 2004 ;
Hence, the null hypothesis will negate the hypothesis, that is there is no difference in the average hours worked in a week from 2000 to 2004
Null hypothesis ; H0 : μ2 - μ1 = 0
Alternative hypothesis ; H1 : μ2 - μ1 ≠ 0
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.. As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
Given information-For year 2000 2004
Mean 27.34 48.12
Standard Deviation 10.11 19.23
Unweighted n 43 54
Null hypothesis
Null hypothesis suggest that there is no significant relationship exist in the given set of single observed variable.
Now the Analyst want to know if there was a significant difference in the average of hours worked in a week from year 2000 to 2004.
To detect a difference (if there it is) between the average of hours worked in a week from 2000 to 2000, it should be test the null hypothesis that there is no difference between the means against the alternative hypothesis. Therefore,
[tex]H_0; (\mu_1-\mu_2)=D_0=0[/tex]
Versus
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
As the null hypothesis negate the hypothesis. Hence the difference is zero and hypothesis for the given problem is,
[tex]H_0; (\mu_1-\mu_2)=0[/tex]
[tex]H_a; (\mu_1-\mu_2)\neq 0[/tex]
learn more about the null hypothesis here;
https://brainly.com/question/4454077
The lengths of the sides of a right triangle are 10 in., 24 in., and 26 in. What is the area of the triangle?
Answer:
[tex]Solution,\\Let~a=10in.,~b=24in.~and~c=26in.\\Semiperimeter(s) = \frac{a+b+c}{2}= \frac{10+24+26}{2} = 30in.\\Now,\\Area~of~triangle = \sqrt{s(s-a)(s-b)(s-c)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(30-10)(30-24)(30-26)} \\~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{30(20)(6)(4)} = \sqrt{14400}=120sq.inches[/tex]
Find the value of 2425÷45. Show your reasoning. fractions
Answer:
Step-by-step explanation:
53.8
Based on what you've read, answer the following
1. What's the temperature change?
a. 35° F to 72° F
b. 40° F to 21° F
c. 120° F to 250° F
d. 15° F to 68° F
Answer:
a.+37 b.-19 c.+130 d.+43
Step-by-step explanation:
a.72-35 b.21-40 c.250-120 d,68-15
PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest
t=100 I was not sure about y sowyy
In the diagram, △RST∼△R′S′T′. Determine the length of RS. Show your work.
100 points!
Answer:
RS = 6 feetStep-by-step explanation:
Use ratios of corresponding sides:
TS/T'S' = RS/R'S'Substitute and solve for x:
9/4 = (12x + 2)/(5x + 1)9(5x + 1) = 4(12x + 2)45x + 9 = 48x + 848x - 45x = 9 - 83x = 1x = 1/3Find the length of RS:
RS = 12x + 2 = 12(1/3) + 2 = 4 + 2 = 6 feetDiana pays $33 for 12 gallons of gas. Manny pays $37.10 for 14 gallons of gas. How much less per gallon does Manny pay than
plz help me on this
hope this sheet helps :)
Answer:
It would bounce at 78 centimeters height
Step-by-step explanation:
How many terms will be in the expansion of (x-8y)^10?
There will be 10 – 1 = 9 terms in the expansion.
There will be 10 x 1 = 10 terms in the expansion.
There will be 10 + 1 = 10 terms in the expansion.
There will be 10 divided 1 = 11 terms in the expansion.
NEED THIS ASAP
Answer:
Step-by-step explanation:
There will be 10+1 = 11 terms in the expansion.
11.45 x 3.7 =
(step by step explanation pls)
Find the slope of the line below. Help please!
Answer:
-3/2
Step-by-step explanation:
go up 3 and left 2