This is a 30-60-90 triangle.
What is the measure of x?
Rationalize the denominator.
[?]
х
X=
7
Answer:
x = [tex]\frac{2\sqrt{21}}{3}[/tex]
Step-by-step explanation:
For a 30-60-90 triangle:
Short leg = sLong leg = s√3Hypotenuse = 2sThus:
Short leg = √7/√3 = (√21)/3Long leg = √7Hypotenuse = x = 2(√21)/3Answer:
2 21 3
Step-by-step explanation:
Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? (Please show simple or advance explanations - 35 points is rewarded :>)
A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)
The first step for factoring is 3w(x + y) - 4z(x + y). The correct option is (A).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given algebraic expression is as below,
3wx + 3wy - 4zx - 4zy
In order to factorize it find the common factors for the group terms such that one of the factors is common for both the groups as follows,
3wx + 3wy - 4zx - 4zy
Take (3wx + 3wy) and (- 4zx - 4zy) as two groups.
The factor form for (3wx + 3wy) is 3w(x + y).
And, for (- 4zx - 4zy) it is -4z(x + y).
Thus, the given expression can be written as,
3wx + 3wy - 4zx - 4zy
= 3w(x + y) - 4z(x + y)
Hence, first step when factoring the given expression is 3w(x + y) - 4z(x + y).
To know more about algebraic expression click on,
brainly.com/question/953809
#SPJ1
A right prism has a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards.
What is the volume of the prism?
39.5 yd³
52.5 yd³
63 yd³
126 yd³
Answer:
C. 63 yd³. I took the test.
15. In the graph below, f(x) is a linear function and g(x) is an exponential function. Using the graph provided, what is
the equation for f(x)? What is the equation for g(x)?
Answer:
That'd be B. The red graph has the classic shape of an exponential function (y-intercept (0,1), and the blue on e has the shape of a log function (x-intercept (1,0). These two functions are inverses of one another, and so their graphs are reflections about the line y = x.
Step-by-step explanation:
Alex is playing a game
where he gets 8 points
8
every time his ball hits the
target. He gets an extra 8
points every time his ball
hits the target 8 times in a
row. How many points will
Brady receive if he hits the
target 8 times in a row?
Answer:
72 points
Something important to note is that 8 is the constant,If you can get 8 each time that would be the same as doing 8+8+8...
If he hits it 8 times in a row, that means the constant was being multiplied 8 times, 8+8+8+8+8+8+8+8=64The problem also states that if he hits it 8 times in a row you add 8 more points.
64+8=72
Therefore, the answer is 72There are 72 points Brady receive if he hits the target 8 times in a row.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Alex is playing a game where he gets 8 points 8 every time his ball hits the target.
And, He gets an extra 8 points every time his ball hits the target 8 times in a row.
Hence, Number of points Brady receive if he hits the target 8 times in a row is,
⇒ 8 x 8 + 8
⇒ 64 + 8
⇒ 72
Thus, There are 72 points Brady receive if he hits the target 8 times in a row.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
Help!! I’m so stuck!
Giving away all of my points in 100 point bursts. I have 1700 points. How people can I give to?
Total times can give:-
1700/10017One question can be answered by 2
Total persons=17(2)=34
Write an expression that is equivalent to 110% of a quantity, n
Answer:
[tex]\displaystyle 1\frac{1}{10}n[/tex]
Explanation:
Convert [tex]\displaystyle 110\%[/tex]to a mixed number, then set [tex]\displaystyle n[/tex]up next to it.
I am joyous to assist you at any time.
(6.1D; 6.1F)
-
1. Which expression is equivalent to 32?
A 23 + (4) – 4 x 2
B 3x3 + (42) - 4
C 42 – 7x0
+
-
D 4x 5 + 2 – 4 + 2
Hey there!
Option A.
23 + (4) - 4 * 2
= 23 + 4 - 4 * 2
= 27 - 4(2)
= 27 - 8
= 19
19 ≠ 32
Option B.
3 * 3 + (42) - 4
= 3 * 3 + 42 - 4
= 9 + 42 - 4
= 51 - 4
= 47
47 ≠ 32
Option C.
42 - 7 * 0
= 42 - 0
= 42
42 ≠ 32
Option D.
4 * 5 + 2 - 4 + 2
= 20 + 2 - 4 + 2
= 22 - 4 + 2
= 18 + 2
= 20
20 ≠ 32
None of them are equivalent to 32
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Here’s one of the answer options
Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)
Step-by-step explanation:
7x^2 - 28x + 7y^2 + 42y - 35 = 0
divide 7 out
x^2 - 4x + y^2 + 6y - 5 = 0
add 5 to other side
x^2 - 4x + y^2 + 6y = 5
solve by completing the square
take b values divide them by 2 square and add to both sides
-4/2 = -2
-2^2 = 4
6/2 = 3
3^2 = 9
X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5
(x - 2)^2 + (y + 3)^2 = 18
(x - k)^2 + (y - h)^2 = r^2
r^2 = 18
r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))
center of circle = (2,-3)
Resolve into factors.
Answer:
[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]
Step-by-step explanation:
Given equation = a² + 2ab + b² + a + b
Let's factorise,
We know that,
[tex]{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Substituting the above factor in given equation,
[tex] {a}^{2} + 2ab + {b}^{2} + a + b = {(a + b)}^{2} + a + b \\ Taking \: (a+b) \: common \: in \: RHS \\ {a}^{2} + 2ab + {b}^{2} + a + b = (a + b)(a + b + 1) \\[/tex]
[tex]\fbox{(a+b) and (a+b+1) are the factors}[/tex]
Thanks for joining brainly community!
what value of x makes the equation true x + 10=18
Answer:
its 8 cause 8+10=18 and you subtract 10 to 18 to get 8 again
Step-by-step explanation:
The length of time that the girls ran was 20 percent greater than the length of time the boys ran.If the girls ran for 48 hours, how long did the boys run
Find two consecutive whole numbers that
124 lies between.
Answer: 123 and 125.
Step-by-step explanation:
The expression 11.5+ (4+ (-6.5)) is to be rewritten by applying the commutative
and associative properties of addition. If you use each property only one time,
which expression could be the result?
O (11.5+ (-6.5)) + 4
O 11.5+ (2.5)
O (4+ (-6.5)) +11.5
O (11.5 + 4) + (-6.5)
Answer:
C. [tex](4+ (-6.5)) +11.5[/tex]
Step-by-step explanation:
Just exchange:
11.5 + (4 + ( - 6.5 ) )
⇒ (4+ (-6.5)) +11.5
After applying the property the expression would be (4+ (-6.5)) +11.5.
What is Associative property?Changes to the order of the addends have no effect on the sum, according to the associative feature of addition.
For example, ( 2 + 3 ) + 4 = 2 + ( 3 + 4 ) or (2 + 3) + 4
Given:
11.5+ (4+ (-6.5))
In Above case we can use the Associative property over addition.
For this we just need to exchange the position of number along with their signs.
So, 11.5+ (4+ (-6.5))
= (4+ (-6.5)) +11.5
Hence, after applying the property the expression would be (4+ (-6.5)) +11.5.
Learn more about Associative property here:
https://brainly.com/question/5637942
#SPJ2
Find the side length of the regular octagon whose perimeter is 674 centimeters??
Quick Answer
Smarties
Answer:
a=84.25cm
Step-by-step explanation:
Fill in the table using this function rule
y=28-3x
Answer:
2 = 22
3 = 19
5 = 13
6 = 10
Step-by-step explanation:
To help with future questions, take whatever is for the x and plug it into the equation
Answer:
22,19,13,10
Step-by-step explanation:
First, Replace the x in the equation with parenthesis (), then inside of the () put the x value in the table so it would look like: y=28-3(2). Then solve by multiplying 2 by 3 so you have y=28-6. Then just subtract 6 from 28 to get 22. Rinse and repeat for the rest of the values. Your first value will be 22, second 19, third 13, and lastly 10. Hope this helps!
Please answer I am struggling
(For question 1 you have to do it yourself, get a ruler and measure the actual length of the drawing, then multiply it by 8 to get the actual dimensions in the exercise. )
Example, if you measure 4 inches, the actual dimension will be 4 x 8 = 32 ft
2. (Scale drawing 1:5 is that every 1 (length units) will be equal to 5(length units) in the actual dimensions)
Model : 3ft ; 7m
Actual : 15ft ; 35m (corresponding)
Actual : 20yd ; 12.5 cm
Model : 4yd ; 2.5 cm
6. 1.5 ft = 1.5 x 12 = 18 inches.
The model is 3 inches, and the actual rose is 18 inches -> The scale of the drawing is 6. (enlargement)
Same goes to the scale factor, but this time is the quotient of the corresponding side -> 3 : 18 = 1:6.
(If I got any parts wrong just tell me, I actually kinda forgot these kind of stuff)
a phone call from a pay phone cost $3.18 for a 10 minute call. what is the cost per minute for the call?
Answer:
$0.318 per minute
Step-by-step explanation:
3.18/10 = 0.318
3.18 divided by 10 equals 0.318
Answer:
3.18 cents per minute
Step-by-step explanation:
318 cents / 10 minutes = 3.18 cents per minute
Jill usually rides her bike at a speed of 10 miles per hour. Let x represent the hours and y represent miles. Write an equation that shows the relationship between x and y.
Answer:
y = 10x
Step-by-step explanation:
If x represents the hours & y represents the miles, your equation should be in multiplication.
10 miles an hour would be 10x and y would be the total. You can also plug in the answer to check. Let's say x is 2. Plug that into 10x and you get 10(2) = 20 and since y is 20, that'd be 20 miles. Therefore, you'd be running 20 miles in 2 hours, which makes sense because your rate is 10 miles an hour.
Use substitution to solve the system.
-4x+5y = -26
y = 3x-14
Answer:
x= 4, y= -2
Step-by-step explanation:
To solve the system by substitution, start by labelling the two equations:
-4x +5y= -26 -----(1)
y= 3x -14 -----(2)
Since the second equation already has y as the subject of formula, we can substitute equation (2) into (1). This means that we can replace all the 'y's in equation (1) with 3x -4, such that equation (1) will only be in terms of x.
Substitute (2) into (1):
-4x +5(3x -14)= -26
Expand:
-4x +15x -70= -26
11x= 70 -26
11x= 44
Divide both sides by 11:
x= 44 ÷11
x= 4
Substitute x= 4 into (2):
y= 3(4) -14
y= 12 -14
y= -2
Find The area of the figure below
Answer:
wow asphalt theme I have that too in my quizziz
math pls help i’ve been stuck on this for the longest
Basically it's almost everything but choice A
==================================================
Explanation:
When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.
This applies to the following angle pairs
1 and 32 and 45 and 76 and 89 and 1110 and 1213 and 1514 and 16The items in bold apply to choices B through D
Side note: Vertical angles are always congruent.
Answer:
2nd, 3rd and 4th options
Step-by-step explanation:
when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.
from the listed angles the following are vertical angles.
∠ 5 and ∠ 7
∠ 3 and ∠ 1
∠ 4 and ∠ 2
Other vertical angles in the diagrm include
∠ 6 and ∠ 8
∠ 9 and ∠ 11
∠ 10 and ∠ 12
∠ 13 and ∠ 15
∠ 14 and ∠ 16
1. Each year, the third Thursday in March is named Kangaroo Day. The dates of Kangaroo Day for the next few
years are shown below, with one error. Which date is wrong?
(A)17/3/2022
(B) 16/3/2023
(C) 14/3/2024
(D) 20/3/2025
(E) 19/3/2026
Answer:
the eero is on date in answer 'c' because the date of kangaroo is in an arrangement form
Answer:
14/3/2024 is on a Thursday, but it is the second Thursday, not the third.
Step-by-step explanation:
If the first Thursday falls on March 1, the soonest the third Thursday could occur is 7+7+1 = March 15.
first to answer correctly will be marked brainliest
Answer:
I have no clue but i need brainliest
Step-by-step explanation:
ayuda porfa, quien entiende???
Answer:
c
Step-by-step explanation:
the right answer is c it good
Annabelle missed 30 questions on her multiple choice science final that had a total of 200 problems. What percentage of questions did Annabelle answer correctly?
Answer:
Annabelle answered 85% of the answers correctly.
Step-by-step explanation:
You would do 200-30 questiosn to get 170 questions that she answered right. You would then do 170/200 to get 0.85. 0.85 in decimal form is equal to 85%. I hope this helps! :)
another question plssss
Answer:
(a) ∠1 and ∠5
Step-by-step explanation:
Complementary angles are angles whose measures total 90°. The angles do not have to be adjacent.
__
In this geometry, we can see that angles 1 and 2 are complementary, as are angles 4 and 5, since their respective sums are right angles. Angles 2 and 5 are vertical angles, so have the same measure.
∠1 + ∠2 = 90° . . . . . . adjacent angles that total a right angle
∠1 +∠5 = 90° . . . . . substitute ∠5 for ∠2, since measures are equal
This means angles 1 and 5 are complementary.
factorise fully: 9x² + 3x³
Answer:
3x^2(3+x)
Step-by-step explanation:
please mark me as brainlest
Answer:
3x(3x+[tex]x^{2}[/tex])
Step-by-step explanation:
just take 3x as common and divide the other values by it
your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications
The class can make the school cup of 120.5 cm tall.
What is Equation?Equations include two sides on the left and right connected with equal to sign.
We can find the key measurements of the cups using the formula,
x + 10y = 125
where x is the height of one cup without including the lip length and y is the lip length.
x + y is the height of one cup.
There are various ways to form the measurement of x and y here.
Let y, the lip length of the cup be 1 cm tall. Then,
x + 10 = 125
⇒ x = 115
Length of 1 cup will be 115 + 1 = 116 cm.
Suppose length of lip, y be 0.5 cm. Then,
x + (10 × 0.5) = 125
x + 5 = 125
x = 125 - 5
x = 120 cm
Length of 1 cup will be 120 + 0.5 = 120.5 cm.
Similarly, we can have many measurements for the height of one cup.
Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.
Hence the class can make the school cup of 120.5 cm tall.
To learn more about Equations, click :
https://brainly.com/question/29657983
#SPJ2
I need help please and thank you and show work
Answer:
50 m
Step-by-step explanation:
We find the perimeter by adding all the sides of our figure.
The initial figure has perimeter :
P = 2 + 5 + 1 + 3 + 3 + 1 + 5
P = 20 m
The dilated figure with the scale factor of 2.5 has perimeter:
P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5
P = 20 * 2.5 = 50 m
Charlie is correct.