Answer:
<ABT = 43°<TBC = 43°Step-by-step explanation:
Given,
Line BT is the bisector of <ABC
So,
3x + 13 = 5x - 7
=> 13 + 7 = 5x - 3x
=> 20 = 2x
[tex] = > x = \frac{20}{2} [/tex]
=> x = 10
As,
We got the value of x = 10
Therefore,
<ABT = 3x + 13 °
= 3×10 + 13 °
= 30 + 13°
= 43°
<TBC = 5x - 7°
= 5 × 10 - 7°
= 50 - 7°
= 43°
Hence,
Value of <ABT = 43° and value of <TBC = 43° (Ans)
find the slope of the line that passes through the given points (9, -3) and (9, 4)
Answer: No slope.
Step-by-step explanation:
No slope, the x values are the same yet they have different Y values so there isn't a slope and this isn't a function.
The temperature drops to a rate of five degrees per hour. Be d the number of degrees that lowers the temperature. Be the number of hours you spend. What is the dependent variable?
Answer:
d, the number of degrees that the temperature was lowered by
Step-by-step explanation:
The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.
The parallelogram shown below has an area of 35 units^2 2 squared. Find the missing height. h =h=h, equals units
Answer:
h = 5 units
Step-by-step explanation:
Given that,
The area of the parallelogram, A = 35 unit²
In the attached figure, we can see that the base is 7 unit.
We know that,
Area of a parallelogram, A = b × h
So,
[tex]h=\dfrac{A}{b}\\\\h=\dfrac{35}{7}\\\\h=5\ units[/tex]
So, the value of h is equal to 5 units.
18.
Find the common difference of the arithmetic sequence.
–2, [tex]-1\frac{4}{5}[/tex], [tex]-1\frac{3}{5}[/tex], [tex]-1\frac{2}{5}[/tex], . . .
A. [tex]-\frac{1}{5}[/tex]
B. -5
C. 5
D. [tex]\frac{1}{5}[/tex]
Answer:
1/5 or 0.2
Step-by-step explanation:
Answer:
The common difference is or 0.2
Step-by-step explanation:
Given:
Arithmetic Sequence -2, -1 4/5, -1 3/5, -1 2/5,
First term = a₁ = -2
Second term = a₂ =
Third term = a₃ =
Fourth term = a₄ =
To Find:
Common Difference = d = ?
Solution:
Formula for Common Difference d ,
∴
The common difference is or 0.2
Which number is rational?
Answer:
root 16
Step-by-step explanation:
Answer:
2nd
Step-by-step explanation:
I hope it helps.stay learning
ANSWER QUICKLY PLEASE!!!
Answer:
The answer is 13.5 square miles
3a=12; a =
b+3.3=8.9; b =
1=14c; c =
512=d+14; d =
2e=6.4; e =
help? Please!
Answer:
a=4
Step-by-step explanation:
3a=12
a=12/3
a=4
b+3.3=8.9
b=8.9-3.3
b=5.6
1=14c
1/14=14c/14
1/14=c
512=d+14
512-14=d
498=d
2e=6.4
2e/2=6.4/2
e=3.2
Find the missing factor
2x ^ 2 + 5x - 3 = (2x - 1)
Answer:
(x-3)
Step-by-step explanation:
2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)
The required missing factor is (x - 3).
Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).
To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).
The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.
To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to
2[tex]x^2[/tex] + 5x - 3.
To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.
Factorize the quadratic equation:
2[tex]x^2[/tex] + 5x - 3
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3
Expanding the left side using FOIL:
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3
Combining like terms on the right side:
(2x - 1)(cx + d) = 2x( x - 3) -1 (x - 3)
Combining like terms on the right side:
(2x - 1)(cx + d) = (2x - 1)(x - 3)
By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.
Therefore, the missing factor is (x - 3).
Hence, the complete factorization of the quadratic equation
2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).
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Find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year. P = $3,500 r= 5% t = 10 k = 4
A = ?
Answer:
To the nearest cent, the accumulated amount over the 10 years is $5,752.67
Step-by-step explanation:
Here, we want to use the given formula to find the accumulated amount on the deposit/investment
we have this as follows;
A = P(1 + r/k)^kt
P is the amount invested which is the principal = $3,500
r is the interest rate = 5% = 5/100 = 0.05
k is the number of times interest is compounded yearly = 4
t is the number of years = 10
Substituting these values in the formula, we have;
A = 3500(1 + 0.05/4)^(4 * 10)
A = 3500 (1 + 0.0125)^40
A = 3500(1.0125)^40
A = $5,752.67
What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1
Answer:
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Step-by-step explanation:
Since the hyperbola opens left and right with a center at the origin, then
[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]
In the graph a = 60 and b = 11
So
[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Solve the inequality for x
8^x>24
Answer:
Step-by-step explanation:
Remark
I hope you have some idea how to make your calculator use logs. This problem is impossible without being able to take the log of each side.
Solution
log(8)^x > log 24 Logs lets you bring down x and multiply it by log24
x log 8 > log 24 Be careful what you do next. Don't use log 3
x > log(24)/log(8)
x > 1.3802/0.9031
x>1.5284
As wrong as this may look, it is correct.
Check it
8^1.5284 = 24.00395
The difference is that 1.5284 has been rounded just a slight bit.
Determine the value of x in the figure below:
A
43.23
B
.02
C
48.95
D
31.95
Answer:answer is D
Step-by-step explanation:
Find the volume of the cylinder.
Answer:
Step-by-step explanation:
V=πr^2h is the equation for volume of a cylinder.
the radius is half of 50 so 50/2=25.
then 75 is the height so you plug the vaules in
V=(3.14)((25)^2)(75)
then multiply and you get 147187.5 rounded to the nearest whole number that is 147188
hope this helps :)
Solve this: 3= x/3.3
Answer:
1.1
Step-by-step explanation:
3.3/3=1.1 hope this helps! have a good day
10, 16, 18, 20, 20, 21, 24, 25,
Q2 (median):
Q1:
Q3:
Interquartile Range (IQR): Q3-Q1 -
Answer:
Q1 --> 17
Q2 --> 20
Q3 --> 22.5
Interquartile
Range IQR 5.5
Step-by-step explanation:
Step 1
We rearrange the given data set
10, 16, 18, 20, 20, 21, 24, 25
Q2 (median):
Q1:
Q3:
Interquartile Range (IQR): Q3-Q1 -
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
What is the area and perimeter of the equilateral triangle? Round your final answer to the nearest tenth of a square unit.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
Answer:
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4. 2 ways to find the area of a triangle using Pythagorean Theorem? 1. Using Pythagorean theorem. The basic formula for triangle area is side a (base) times the height h , divided by 2: area = (a * h) / 2 2.Using trigonometry. Let's start from the trigonometric triangle area formula: area = (1/2) * a * b * sin(γ) , where γ is the angle between sides.
PLEASE HELP
I WILL MARK BRAINLIEST
Answer:
False
Step-by-step explanation:
They don't look alike
⊂ヽ
\\ Λ_Λ This is Memecat. Help
\( 'ㅅ' ) memecat take over
> ⌒ヽBRAINLY by pasting her
/ へ\ in 999 other servers
/ / \\ or she will never
レ ノ ヽつ be a meme
/ /
/ /|
what is 3×3?
Answer:
9
Step-by-step explanation:
999
which line is parallel
Answer:
3x - y = -7
Step-by-step explanation:
put into slope-intercept form the equation becomes y = 3x + 7
parallel lines have the same slope, in this case the slope is 3
True or false: The following table is linear.
The table is linear because it goes up at a consistent rate each time.
A graph of a line has an x-intercept of 4
and a y-intercept of 6. Which equation
represents the line?
A 3x - 2y = 8
B 2x - 3y = -10
C 3x + 2y = 12
D 2x + 3y = 26
thank you!:)
Mr Malloy wants to make sure amo and max get the best possible grade after five tests and can either give a grade based on the median or the mean
Answer:
• Median for Amo
• Mean for Max
Step-by-step explanation:
Amo's mean score:
= (97 + 92 + 89 + 55 + 90)/ 5
= 84.60
= 85
Max's mean score:
= (68 + 97 + 65 + 92 + 65) / 5
= 77
Amo's median:
First arrange the numbers in ascending order:
55, 89, 90, 92, 97
Median is middle which is 90.
Max's median:
65, 65, 68, 92, 97
Median is 68
Mr Javier should use Median for Amo and Mean for Max.
find the area of each sector shown (the shaded section)
Answer:
The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].
Step-by-step explanation:
Area of a sector = (θ ÷ 360) [tex]\pi[/tex][tex]r^{2}[/tex]
where θ is the central angle of the sector, and r is the radius of the circle.
From the diagram give, diameter of the circle is 26 m. So that;
r = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{26}{2}[/tex] = 13 m
θ = 360 - (180 + 160)
= 360 - 340
= [tex]20^{o}[/tex]
Thus,
area of the given sector = [tex]\frac{20}{360}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](13)^{2}[/tex]
= [tex]\frac{20}{360}[/tex] x x [tex]\frac{22}{7}[/tex] x 169
= 29.5079
The area of the sector (shaded section) is 29.51 [tex]m^{2}[/tex].
I'm really confused about this question
Answer:
A. 10 ft
Step-by-step explanation:
Since dimensions of the wall are similar to the dimensions of the window.
Therefore, lengths and widths of wall and window would be in proportion.
So,
[tex] \frac{h}{2} = \frac{24.5}{4.9} \\ \\ h = \frac{24.5 \times 2}{4.9} \\ \\ h = \frac{49}{4.9} \\ \\ h = \frac{490}{49} \\ \\ h = 10 \: ft[/tex]
what is the difference for 1/2 and 3/8
Answer:
1/8
Step-by-step explanation:
1/2-3/8
4/8-3/8=1/8
evaluate 9P4
A. 9
B. 362,880
C. 126
D. 3024
Answer:
3024
Step-by-step explanation:
3024
Option (D) 3024 is the permutation value is the correct answer.
What is a permutation?A permutation is an arrangement of objects in a definite order. It is a number of ways a particular set can be arranged, where the order of the arrangement matters.
For the given situation,
The value of 9P4
The formula to find permutation is
[tex]nP_{r}=\frac{n!}{(n-r)!}[/tex]
Here, n = 9 and r = 4
⇒ [tex]9P_{4}=\frac{9!}{(9-4)!}[/tex]
⇒ [tex]\frac{9!}{5!}[/tex]
⇒ [tex]\frac{5!(6)(7)(8)(9)}{5!}[/tex]
⇒ [tex](6)(7)(8)(9)[/tex]
⇒ [tex]3024[/tex]
Hence we can conclude that option (D) 3024 is the permutation value is the correct answer.
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May someone please help me with this?
once again some one good at 7th grad math i need your help
Answer:
(1.) -32.4 (2.) 99.94
Step-by-step explanation:
plz mark 5 str, helpful, and brainliest!
The Area of a rectangular garden can be represented by the expression 15x 2 - 7x - 2. The length of the garden can be represented by 5x + 1. Write an expression that represents the perimeter of the garden.
Answer:
16x-2
Step-by-step explanation
Area of the garden = length × width
Substitute the given value
15x 2 - 7x - 2. = 5x+1 × width
Factorize the area
15x^2 - 7x - 2.
15x²-10x+3x -2 =0
5x(3x-2)+1(3x-2)
5x+1(3x-2)
Hence other side so be 3x-2
Perimeter = 2(L+W)
P = 2(5x+1+3x-2)
P = 2(8x-1)
P = 16x-2
Hence the expression that represents the Perimeter is 16x-2