Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
HELP!! please, quick!
Answer:
The answer is B
Step-by-step explanation:
To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)
The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)
Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)
Match each system of equations to its solution represented by an augmented matrix.
Answer:
Step-by-step explanation:
For each point on the unit circle, select the angle that corresponds to it.
Click each dot on the image to select an answer.
Answer:
A. ~30°
B. ~240°
C. ~330°
Step-by-step explanation:
PLEASE HELP URGANT
which is true?
Answer:
Step-by-step explanation:
B. A graph of 2 variables will have numerous points, they can be both positive and negative.
Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?
Answer:
105 miles
Step-by-step explanation:
15 miles in half an hour so 30 miles each hour
30 miles*3 hours=90 miles
90 miles+15miles= 105 miles in 3 1/2 hours
need help fast only 14 mins left
Answer:
V = 49 m³
Step-by-step explanation:
Volume in November 2015 = 6287 m³
Volume in August 2015 = 6238 m³
We need to find the volume of water used between August and November. It can be calculated as follows :
V = 6287 m³ - 6238 m³
= 49 m³
So, the required volume is 49 m³.
7 times m help helpp
Please help due in 5 minutes !
Answer:
Step-by-step explanation:pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
I’m sorry if this is wrong
24 is 3/4% of what number
Answer:
32
Step-by-step explanation:
Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)
So our simple equation looks something like this:
[tex]24= x *\frac{3}{4}[/tex]
So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.
So: [tex]24 * \frac{4}{3} = x[/tex]
Doing the simple math we get:
[tex]24 * \frac{4}{3} = 32[/tex].
32 is your answer.
Hope this helps and have a nice day! Sorry I'm not great at explaining it!
Find the slope of the line that passes through
(7,-1) and (9,0)
Answer:
1/2 or 0.5
Step-by-step explanation:
so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.
Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?
Answer:
0.000725 i think :)
Step-by-step explanation:
Divide the number by 100 (move the decimal place two places to the left).
Multiply this new number by the percentage you want to take off.
The value of x =
60°
5
x
30°
Answer:
10
Step-by-step explanation:
with reference angle 30°
perpendicular (p) = 5
hypotenuse (h) = x
Now
sin 30° = p / h
1 / 2 = 5 / x
x = 10
Hope it will help :)
Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after they had travelled 690 miles, what was the total length of the trip?
I need Help with this
Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion. If she is making 24 tbsp. of the mix, how many tbsp. of parsley does she need?
3
5
15
9
Answer: 9
Step-by-step explanation: First, you find how many parts are needed. 4+3+1=8
So, we then divide 24 by 8 to find out what one part is. This is 3
As she needs 3 parts of parsley, we multiply 3 by 3 (each part) to get 9 tbsp.
Fabiola's special seasoning mix of 24 tbsp. needs 9 tbsp. of parsley.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion.
Let, 'x' be the ratio multiplier.
Therefore, 4x + 3x + x = 24.
8x = 24.
x = 3.
So, She needs 3×3 = 9 tbsp. of parsley.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ2
question “If y =5, what is the value of the following expression
7+2y²
Answer:
57
Step-by-step explanation:
Hey there!
To find the solution, plug in 5 for y. When you do this you get, 7+2(5)². Square the 5 to get 25. And then you att 7+2(25). 25 x 2 is 50. 50 +7 is 57.
Hope this helps :)
6) solve the equation for m
Answer:
m=48
Step-by-step explanation:
m/3=18-2
m/3=16
m=16x3
m=48
Answer:
m=48
Step-by-step explanation:
Subtract 2 from both sides
2+m/3-2=18-2
Simplify
m/3=16
Multiply both sides by 3
3m/3=16*3
simplify
m=48
Solve the simultaneous equations
y = 2x^2
y = 3x + 14
Answer:
x = -2
And, x = 7 ÷ 2
Step-by-step explanation:
Given that
y = 2x^2
y = 3x + 14
Now equate these two above equations
2x^2 = 3x + 14
2x^2 - 3x - 14
2x^2 -7x + 4x - 14
x(2x - 7) + 2(2x - 7)
(x + 2) (2x - 7)
So it can be x = -2
And, x = 7 ÷ 2
PLEASE HELP IM STRUGGLING IN MATH!! THANK YOU!!!!❤️
Answer:
$5193.77
Step-by-step explanation:
You want to figure out what x is.
Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.
Then, plug x = 9 into the equation:
y = 11,000(0.92)^9
Plug this into a calculator and you get: y = $5193.77
PLEASE HELP!!
What is the y-intercept?
Answer:
y- intercept = 30
Step-by-step explanation:
The y- intercept is the value on the y- axis (vertical) where the graph crosses
Each square on the vertical has a value of 10
The graph crosses the vertical axis 2 squares below 50.
Then y- intercept = 30
Can someone answer this please with an explanation.
Answer:
x=92
Step-by-step explanation:
those to angles are supplementary meaning that they add up to equal 180
so you set up the equation 180=x+x-4
180=2x-4
step 1 add 4 to each side
184=2x
step 2 divide each side by 2
x=92
so the angles equal 92 and 88
Answer:
92°
Step-by-step explanation:
180 degrees on a straight line.
2x - 4 = 180
2x = 184
X = 92°
Find the measure of angle CXD
Answer:
the answer is 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
as u see it kinda looks like obtuse lol but if u do the work u can see its actually 100.
A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,
Answer:
377.24
Step-by-step explanation:
Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.
Answer:0.05+1.645v0.05(0.95)/500
Step-by-step explanation:
. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
interest. How much did Toby have in his savings account after 2 years?
Answer:
£4867.2
Step-by-step explanation:
Given data
P= £4500
T=2 years
R= 4%
The compound interest expression
A=P(1+r)^t
substitute
A= 4500(1+0.04)^2
A=4500(1.04)^2
A=4500*1.0816
A=£4867.2
Hence the balance is £4867.2
Answer:
P(1+r/100)^n - P
4500(1+4/100)^{2}-4500 =367.2
Step-by-step explanation:
Graph the relation. Is the relation a function? Why or why not?
{(-5, 6), (-2, 3), (3, 2), (6, 4)}
Yes; there is only one domain value for each range value.
Yes; there is only one range value for each domain value.
No; a domain value has two range values.
No; a range value has two domain values.
Answer:
Yes; there is only one range value for each domain value.
Step-by-step explanation:
For a relation to be a function, every input, x-value, needs to have a unique output, y-value. This means that one x-value cannot have multiple y-values. So, in a function x-values will never repeat. Since x-values do not repeat in this relation, it is a function.
Help please (((((((((((((((((((
Answer:
4
Explanation:
sum of interior angle= 180°
10x= 180- (80+60)
10x= 180- 140
10x= 40
x=40/10
x= 4
PLEASE MARK ME AS BRAINLIEST!!!!
[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Knowledge Required:-✯ The sum of all the interior angles of triangle sum upto 180°.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-Using the above knowledge we say that the angles of the given traingle should sum upto 180°.
Therefore,
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\large{\bold\red{x = 4}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the value of x is 4.
Find the 75th term of the arithmetic sequence -17, -13, -9....
Answer:
The 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
Step-by-step explanation:
Given the sequence
[tex]-17, -13, -9....[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=4[/tex]
The first element of the sequence is:
[tex]a_1=-17[/tex]
now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=4\left(n-1\right)-17[/tex]
[tex]a_n=4n-21[/tex]
Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence
[tex]a_n=4n-21[/tex]
[tex]a_{75}=4\left(75\right)-21[/tex]
[tex]a_{75}=300-21[/tex]
[tex]a_{75}=279[/tex]
Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:
[tex]a_{75}=279[/tex]
F Which conditions are sufficient to prove a quadrilateral is a square?
1. All four sides are congruent.
II. The diagonals are congruent.
III. The diagonals bisect each other.
A. l only
B. l and II
C. l and III
D. ll and III
Answer:
I think the answer is a .
Identify the missing term of the sequence
1,8, 27, a4, 125, 216, ...
54
64
76
88
Answer:
64
Step-by-step explanation:
4³ = 64
Please help it's due today. Also if you don't know please don't answer.
I believe it's x= 20, hopes it help!
Answer:
x=20
Step-by-step explanation:
4 5 x
( 3 ) = 3
20 x
3 = 3
x = 20