Answer:
65
Step-by-step explanation:
Just use the Pythagorean theorem.
[tex]\boxed{a^2+b^2=c^2}[/tex]
[tex]33^2 + 56^2 = c^2\\1089 + 3136 = c^2\\4225 = c^2\\c = \sqrt{4225} \\c= 65[/tex]
Answer:
Third side is 65
Step-by-step explanation:
FORMULA
a^2 + b^2 = c^2
PLUG IT IN
33^2 + 56^2 = c^2
33 and 56 are the legs of the triangle so they go into the A and B variable.
The legs make up the right angle.
C is the hypotenuse, and here it is the diagonal line in that image.
FIND THE NUMBERS SQUARED
1089 + 3136 = c^2
ADD THEM TOGETHER
4225 = c^2
SQUARE ROOT BOTH SIDES
[tex]\sqrt{4225}[/tex] = ([tex]\sqrt{C}[/tex])^2
65 = c
CHECK
33^2 + 56^2=65^2
1089 + 3136 = 4225
4225 = 4225
For the sequence of numbers
Work out the position to term rule
22, 23, 24, 25, .......
Answer:
The term rule will be:
[tex]a_n=n+21[/tex]
Step-by-step explanation:
Given the sequence
[tex]22, 23, 24, 25, ...[/tex]
Computing the common difference of all the adjacent terms
[tex]22,\:23,\:24,\:25[/tex]
[tex]23-22=1,\:\quad \:24-23=1,\:\quad \:25-24=1[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=1[/tex]
The first element of the sequence
[tex]a_1=22[/tex]
We know that An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting [tex]a_1=22[/tex], and [tex]d=1[/tex] in the nth term to get the term rule
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=\left(n-1\right)+22[/tex]
[tex]a_n=n+21[/tex]
Therefore, the term rule will be:
[tex]a_n=n+21[/tex]
Can someone help me please...
Answer:
AB=5.6
Step-by-step explanation:
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle, that is
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
498 divided by 13 full Equation
Answer:
38.3
Step-by-step explanation:
hope I helped
Answer:
38.3 to be exact its 38.3076
Step-by-step explanation:
Hope this helps stay safe!
the number of girls on the school's basketball team decreased by 20% this year. if there were 25 girls on the team last year. how many girls are on the team this year
Answer:
Step-by-step explanation:
okay so to get 10% of 20 you just move the decimal to the right one so 25.0 would become 2.5 then to find 20% of that you multiply by 2 so 2.5 x 2 = 5 so that means the team lost 5 girls. 25-5=20 therefor there are 20 players on the team this year
What was Sharon's error in finding the missing height measurement for her reduced tower? Her proportion does not have corresponding parts in the same position. For cross products, she needed to multiply 1050(328) and 5(x). She needed to divide both sides by 1640, instead of 1050. She needed to round down to 1.5 fee
Answer:
Her proportion does not have corresponding parts in the same position.
Step-by-step explanation:
Sharon is drawing up a plan for building a reduced Eiffel Tower on her backyard patio. She has room to make a base of 5 feet. Her work is shown below.
What was Sharon’s error in finding the missing height measurement for her reduced tower?
Her proportion does not have corresponding parts in the same position.
For cross products, she needed to multiply 1050(328) and 5(x).
She needed to divide both sides by 1640, instead of 1050.
She needed to round down to 1.5 feet.
Height : base = 1,050 : 328
She has room to make a base of 5 feet.
Height : base = x : 5
1,050 : 328 = x : 5
1,050 / 328 = x / 5
Cross product
1,050 * 5 = 328 * x
5,250 = 328x
Divide both sides by 328
x = 5250 / 328
= 16.006
Approximately 16
Sharon's error:
Her proportion does not have corresponding parts in the same position.
Answer:
A
Step-by-step explanation:
Toby skated from his house to the beach at a constant speed of 888 kilometers per hour, and then skated from the beach to the park at a constant speed of 777 kilometers per hour. The total distance Toby skated was 202020 kilometers, and it took him twice as long to get to the park. Let bbb be the number of hours it took Toby to skate from his house to the beach, and ppp the number of hours it took him to skate from the beach to the park. Which system of equations represents this situation?
Answer:
8b+7p=20
p = 2b
Step-by-step explanation:
Given that there is a constant speed of 8 km per hour and the number of hours be b so here 8b signifies the distance
Now on the other hand there is a constant speed of 7 km per hour and the number of hours be p so here 7p signfies the distance
So the total distance would be
= 8b + 7p
And, the total km is 20
Now the whole equation would be
8b + 7p = 20
Also it is mentoined that for getting into the park it is twice for getting into the beach
So, it would be
p = 2b
Therefore the system of equations are as follows
8b+7p=20
p = 2b
Olivia has budgeted $100 for moving her furniture. She decides to use a local moving company that charges a $75 rental fee and .50 per mile. What is the maximum number of miles she can use the truck without going over budget? 5
Answer: The maximum # of miles she can use would be 50.
Step-by-step explanation:
75+(.5*x)=100
-75 -75
.5x=25
x=50
Ill brainlist anyone who anwsers this
Answer:
-25.5 feet
Step-by-step explanation:
2.5x7=17.5
-8-17.5=25.5
A school wants to order 300 pencils. Will 6 boxes be enough?
Answer: If there is 50 in each box, yes.
Step-by-step explanation:
radio listeners were asked to call in and pick their two favorite rodents
Answer:
W=Woodchuck
P=Prairie dog
B=Beaver
C=Chipmunk
WP PB BC
WB PC ----
WC ---- ----
Hope this helps!
What is the product?
Answer:
The answer to this question is:
6x³-33x² + 45x - 6
Step-by-step explanation:
Four families went out to dinner . Each of their recipe is shown . If each family leaves a 20% tip on the total , which families will pay more than $8.00 for the tip? Select all that apply.
Answer:
Step-by-step explanation:
I need the rest of the question. What are the choices?
If Tiva babysits for
hours, she will earn $32.
Answer:
true i think not 100% sure tho
Step-by-step explanation:
Answer:
huh?
Step-by-step explanation:
What factors facilitate erosion by wind?
A.ocean currents, La Niña and El Niño
B.heat, low water table and low humidity
C.drought, plant die-off and wind
Answer:
I belive the answer is
C
Step-by-step explanation:
BRUHH IDK WHAT THIS IS
Answer:
ONG PLS, IM NOT SMART
Step-by-step explanation:
Please help ASAP!!!
A sweatshirt at the store is being offered at a 20% discount.if the original price of the sweatshirt is x,which answer choice shows an expression that represents the discounted price of the sweatshirt.
Answer:
x-20%
Step-by-step explanation:
I dont know the options, but hopefully this helps
The old price of a 24" television is $499.00. It has been marked up 12%. What is the new price?
Answer:
$558.88
Step-by-step explanation:
Compare using > or <.
5. 4/3_____1.25 6. -78_____-0.8 7. -0.31_____-0.303
Answer:
HOPE THIS HELPS
Step-by-step explanation:
5. 4/3__>___1.25 6. -78__<___-0.8 7. -0.31___<__-0.303
I don't have any knowledge in algebra, so what would be the best way to learn it. (The only advancements I have within are things as 2+x=14 ***When x=12***)
Answer
I guess the best way to learn algebra is first being confident with your arithmetic and PEMDAS/BODMAS, then understanding how substitution works, knowing what like-terms, binomial products, squares, etc are and going through worked examples as well as solving algebraic problems yourself. Of course, to get a grasp on algebra, you should start from the basics and continue working your way up. You should be able to find resources online to help you.
Good luck!
Step-by-step explanation:
Suppose that – in any given time period – a certain stock is equally likely to go up 1 unit or down 1 unit, and that the outcomes of different periods are independent. Let X be the amount the stock goes up (either 1 or −1) in the first period, and let Y be the cumulative amount it goes up in the first three periods. Find the correlation between X and Y.
Answer:
Step-by-step explanation:
From the given information:
Let X represent the amount of the stock that goes up in the first period; &
Let Y denote the cumulative amount that goes up in the first three periods.
Then,
[tex]X= X_1 + X_2 \\ \\ \\EX= EX_1 +EX_2\\ \\\\Now ; EX = 0 \\ \\ EX = \dfrac{1}{2}\times 1 + \dfrac{1}{2}\times -1 \\ \\ EX = \dfrac{1}{2}-\dfrac{1}{2} \\ \\ EX = 0[/tex]
[tex]Cov(x,y) = Var(X_1) +Var(X_2) \\ \\ =\dfrac{1}{2}(1+1) + \dfrac{1}{2}(1+1) \\ \\ = \dfrac{1}{2}(2)+ \dfrac{1}{2}(2) \\ \\ = 1+1 \\ \\ =2[/tex]
[tex]Var (X) = Var (X_1+X_2)\\ \\ = 2 \ Var(X_1) \\ \\ = 2 \times (1) \\ \\ = 2[/tex]
[tex]Var (Y) = Var (X_1 +X_2+X_3) \\ \\ = 3 \times Var(X_1) = \\ \\ = 3 \times 1\\ \\ = 3[/tex]
∴
[tex]Corr(x,y) = \dfrac{2}{\sqrt{6}} \\ \\ = \dfrac{2}{\sqrt{2\times 3}} \\ \\= \sqrt{\dfrac{2}{3}}[/tex]
Angle measures for 10 points
Answer:
x = 76°
y = 128°
z = 16°
Step-by-step explanation:
JKLM is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
x + 104° = 180°
x = 180° - 104°
[tex] \huge \red {\boxed {x = 76\degree}} [/tex]
y + 52° = 180°
y = 180° - 52°
[tex] \huge \purple {\boxed {y = 128\degree}} [/tex]
By inscribed angle theorem:
[tex] 88\degree + z = 2\times 52\degree \\\\
88\degree + z = 104\degree \\\\
z = 104\degree - 88\degree \\\\
\huge \orange {\boxed {z = 16\degree}} [/tex]
Find the slope and y-intercept of x+4x=-10
19.5 as a mixed fraction
Answer:
19 1/2
Step-by-step explanation:
Answer:
-39/2
Step-by-step explanation:
Write the equation of the line that has y-intercept of 4 and goes through the points (0,4) & (2.0) (Hint: use those points
to calculate slope first and write answer using y = mx + b)
Answer:
y = -2x + 4
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of a line passing through (0, 4) and (2, 0) will be,
m = [tex]\frac{4-0}{0-2}[/tex]
= -2
Y-intercept of the line 'b' = 4
Therefore, equation of the line will be,
y = -2x + 4
Pls lmk ASAP this is for 7th grade accelerated just so ya know in case you’re confused!
Answer:wheres the diagram?
Step-by-step explanation:
03 MG)
In AEFG and sYXZ,m F mix and mE m_Y. IfmZE = 62° and m_X = 80°, what is the measure of ZY?
A point is randomly selected on the grid. What is the
probability that the point will be located in the shaded
region? Give your answer as a fraction
Answer:
13/24
Step-by-step explanation:
I got it right.
Answer:
the answer is 13/24 just did it
Step-by-step explanation:
Calculate the rate of change between the points (-6, -20) and (8, 22).
The rate of change between these points is:
Answer:
The rate change between these points is 3.
Step-by-step explanation:
Answer:
Rate of Change is 3
Step-by-step explanation:
The rate of change between two points is called the 'slope'.
x1-x2 -6-8 -14
____ = ____ = ___ = Divide = 3
y1-y2 -20 - 22 -42
BRAINLIEST IF RIGHT Which other expression has the same value as (-14) - (-8) ?
Group of answer choices
(-14) + 8
14 - (-8)
14 + (-8)
(-14) + (-8)
Answer:
its -6 please give brainliyest
Paul draws △ABC and the medians from vertices A and B. He finds that the medians intersect at a point and he labels this point X. Paul claims that point X lies outside △ABC. Do you think this is possible? Complete the explanation.
Answer:
The answer is "Through which we can infer that perhaps the ABC triangles is obstinate shaped".
Step-by-step explanation:
Paul draws that ABC as well as the Median triangle from and A and B nodes. If the median passes after a certain point, and his marks the point X. Paul now says point X (i.e., a triangle's center) is outside the ABC triangle.
They may also conclude that perhaps the ABC triangle does have an obtuse angle because the centroid is in the ring in case of even a severe triangle, that centroid is already on the right triangle in case of the triangle and cases of an obtuse-angled rectangle, the angular velocity is an outside ring.