answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]\frac{5\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Divide 5 by [tex]\sqrt{2}[/tex] , then rationalize denominator
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=5
we have
by using Pythagoras law
p²+b²=h²
x²+x²=5²
2x²=25
x²=25/2
x²=18
x=[tex]\sqrt{\frac{25}{2}}[/tex]
x=[tex]\bold{\frac{5\sqrt{2}}{2}}[/tex]
If x = 3, y = -2 and z=
-5, evaluate 3y2-5x/3xz
Answer:
12-15/ - 45=
3/-45
=-15
Step by step explanation:
a. 8
b. 4
c. 16
d. 12
b. 4
....................
3x =24
or, x= 24/3
or, x =8
PLEASE HELP ASAP
In the diagram below, ΔABC ≅ ΔSTR. Complete the statement BC ≅
A. AC
B. TR
C. ST
D. SR
Answer:
a
Step-by-step explanation:
The complete statement is BC ≅ TR.
What is triangle theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, exists a fundamental relation in Euclidean geometry among the three sides of a right triangle. It expresses that the area of the square whose side exists the hypotenuse stands equivalent to the sum of the areas of the squares on the other two sides.
Using the similarity of triangle theorem BC ≅ TR
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Which number line model represents the expression -2+(-7)
Answer:
B
Step-by-step explanation:
Start at zero.
Go 2 units left to -2.
Then go another 7 units left to add -7.
Answer: B
A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?
is this year 3 math? Its 4
Rewrite the following polynomial in standard form.
9x + 1 - x^2
Answer:
x²-9x-1
Step-by-step explanation:
move the -x² in front and get -x²+9x+1
then multiply the whole equation by -1 and get x²-9x-1
I THINK OKAY PLEASE DONE BE MAD
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
Answer: [tex]4[/tex] pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]
Find the derivative of the function to find out the critical points
[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]
Thus, for 4 pair of shoes profit is maximize.
Answer:
4 pairs of shoes.
Step-by-step explanation:
Two ships P and Q left port at the same time. Q sailed at a bearing of 150 degrees while P sailed on the north side of Q. After a distance of 8km and 10km by P and Q respectively, their distance apart is 12km. Find the bearing of P from R
Answer:
247.18
Step-by-step explanation:
please watch the diagram carefully to see marked areas
According to given situation cosine law in trigonometry identities used
[tex]c^{2}=b^{2} +a^{2} -2abcosx[/tex] to find the bearing angle of P from R is 67 degree.
What is trigonometry identities.If the identities or equations are applicable for all the triangles and not just for right triangles, then they are the triangle identities. These identities will include:
Sine law
Cosine law
Tangent law
According to question,
The angle between RP & RQ.
Using the cosine law
[tex]PQ^{2} = RP^{2} + QR^{2} - 2PR*RQ*cosx\\12^{2}=8^2+10^2-2*8*10cosx\\cosx = \frac{164-144}{160} \\cosx = \frac{20}{160} \\cosx =\frac{1}{8}[/tex]
[tex]x=83[/tex] degree
[tex]150-83=67[/tex]
Hence, the bearing of P from R is 67 degree
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Find a solution to the following system of equations –5x + 2y = 9 3x + 5y = 7
Answer: (-1, 2)
Step-by-step explanation:
Let's start by solving for x in
[tex]-5x+2y=9\\-5x+2y+-2y=9+-2y\\-5x=9+-2y\\\frac{-5x}{-5} =\frac{9+-2y}{-5} \\x=\frac{2}{5} y+\frac{-9}{5}[/tex]
We can now sub this value of x in 3x+5y=7 and solve
[tex]3x+5y=7\\3(\frac{2}{5} y+\frac{-9}{5})+5y=7\\(3)(\frac{2}{5} y)+(3)(\frac{-9}{5})+5y=7\\\frac{6}{5} y+\frac{-27}{5}+5y=7\\\frac{6}{5} y+\frac{25}{5}y +\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}=7\\\frac{31}{5} y+\frac{-27}{5}+\frac{27}{5}=7+\frac{27}{5}\\\frac{31}{5} y=\frac{62}{5} \\\frac{\frac{31}{5} y}{\frac{31}{5}} =\frac{\frac{62}{5} }{\frac{31}{5}} \\y=2[/tex]
Now we can sub in 2 for y in one of the equations
[tex]3x+5(2)=7\\3x+10=7\\3x+10-10=7-10\\3x=-3\\\frac{3x}{3} =\frac{-3}{3} \\x=-1[/tex]
x=-1 and y=2 giving us the point (-1, 2)
g(x)=x ^2 and f(x)=x-7 so what is g(f(4)
Answer:
I think the answer is 9
=====================================================
Work Shown:
f(x) = x-7
f(4) = 4-7
f(4) = -3
We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3
This will have us go from g( f(4) ) to g( -3 )
Then we plug x = -3 into the g(x) function
g(x) = x^2
g(-3) = (-3)^2
g(-3) = 9 is the final answer
Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get
g( -3 ) = 9
g( f(4) ) = 9
-------------------
An alternative route:
g(x) = x^2
g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)
g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only
g( f(4) ) = ( 4-7 )^2 ... plug in x = 4
g( f(4) ) = (-3)^2
g( f(4) ) = 9
Reduce any fractions to lowest terms.Don’t round your answer, and don’t use mixed fractions
12t-2<-5t+36
Answer:
t < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
Add '5t' to both sides
12t - 2 +5t < -5t +36 +5t
17t -2 < 36
Add ' 2' to both sides
17t -2 +2 < 36 + 2
17t < 38
Dividing '17' on both sides
[tex]\frac{17t}{17}[/tex] < [tex]\frac{38}{17}[/tex]
Step-by-step explanation:
let's hop to it mattie.
12t–2< –5t+36===> 12t+5t< 36+2====>
17t< 38====> t < 38÷17
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate how many years it will take for the value of the account to reach $600?
Fill in the values of A, b, and c to write the equation modeling this situation.
Answer:
So, you have $400savings, 3%intrest rate, you'll need to have $400 and a 10%intrest rate.
I hope this helps
Step-by-step explanation:
Kala’s family is shopping for a large screen TV. The TV they decided on has a retail price of $1,000 at four stores. The state sales tax is 5%. Each store is offering a different sales promotion, as listed in the table.
Store
Promotional Offer
A
$80 rebate
B
10% discount on price
C
Store pays all sales tax
D
$40 rebate with store paying half of sales tax
Which store has the best deal?
store A
store B
store C
store D
Answer:
B-10% discount on price
Step-by-step explanation:
A - $1050 - 80 = $970
B - $900 + $45 = $945
C - $1000
D - $1025 - $985
Answer:
store b
Step-by-step explanation:
Find the area enclosed by the figure.
Answer:
894
Step-by-step explanation:
this can be "split" into 3 rectangles.
their areas can be easily calculated. and then we simply sum them all up for the answer.
rectangle 1 on the top
R1 = 5×9 = 45
rectangle 2 in the middle
R2 = (19+5)×(35-9-15) = 24×11 = 264
rectangle 3 at the bottom
R3 = 39×15 = 585
and all together
45+264+585 = 894
due in an hour! hour
Answer:
Step-by-step explanation:
Hope this helps u !!
Answer:
( 1 , 2 )
Step-by-step explanation:
x + 4y = 9
x = 9 - 4y .... ( 1)
2x - 4y = -6 ...( 2)
substitute the 9 - 4y as x in the second equation
2( 9 - 4y ) - 4y = -6
distribute 2
18 - 8y - 4y = -6
combine like terms
18 - 12y = -6
Subtract 18 from both sides
18 - 18 - 12y = -6 - 18
- 12y = - 24
divide both sides by -12
-12y / -12 = -24/-12
y = 2
Now , substitute the 2 as y in the second equation
2x - 4y = -6
2x - 4 ( 2 ) = -6
2x - 8 = -6
add 8 to both sides
2x - 8 + 8 = -6 + 8
2x = 2
divide both sides by 2
2x / 2 = 2/2
x = 1.
Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
A = x
B = 7x - 6
C = x - 1
D = 6x - 7
B = 7x - 6 is the correct answer.
Which equation is equivalent to (x^2-5)^2-3x^2+15=-2 in terms of m?
Answer:
x = 67/x^4
Step-by-step explanation:
I did step by step on the whiteboard. I hope it helps!
Roger has 50 ounces of water. If he drinks 30% of it, how
much water will he have left?
Answer:
35 ounces
Step-by-step explanation:
If Roger drinks 30% of the water, that means there will be 70% of it left. We can turn percentages into decimals by dividing them by 100. If we multiply 50 by 0.7, we get 35 ounces.
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)=x²
50 pts pls help
What is the range of the function shown on the graph above?
Answer:
[0, 7]Step-by-step explanation:
The range is the set of y-values.
The graphed function has its range between 0 and 7, both inclusive.
So the range is:
y ∈ [0, 7]How do we write a set -builder method ?
Answer: 6(1,2,3)
Step-by-step explanation:
Find the measure of the indicated angle.
Answer:
the answer is 96°
Step-by-step explanation:
it is an isosceles triangle as it's 2 sides are equal.
for an isosceles triangle, the angles made by the equal sides with the third side are equal.
and the sum of all angles in a triangle = 180°
42 + 42 + x = 180
x = 180 - 84
X = 96°
Find the product. (Do not use spaces in your answer.)
d j · d k
Answer:
[tex]\displaystyle d^{j + k}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle d^j \cdot d^k[/tex]
Step 2: Find
Multiply [Exponential Rule - Multiplying]: [tex]\displaystyle d^j \cdot d^k = d^{j + k}[/tex]Answer:
[tex]\huge\boxed{d^j\cdot d^k=d^{j+k}}[/tex]
Step-by-step explanation:
Use the theorem:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
Why? Look at this example:
[tex]2^3\cdot2^4=\underbrace{2\cdot2\cdot2}_{3}\cdot\underbrace{2\cdot2\cdot2\cdot2}_4=\underbrace{2\cdot2\cdot2\cdot2\cdot2\cdot2\cdot2}_{7}=2^7[/tex]
Therefore
[tex]d^j\cdot d^k=d^{j+k}[/tex]
I have another question I'm struggling with. How do I solve to find the missing angle?
Answer:
[tex]23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} ) [/tex]
Find the scale factor and the value of x. HELP !
Answer:
k = 5/3
x = 21
Step-by-step explanation:
Here, we have two similar shapes
The scale factor here would be the ratio of the corresponding similar sides
so we have k as 15/9 = 5/3
To find the value of x
When two shapes are similar, the ratio of the sides corresponding are equal
So we have it that;
x/35 = 9/15
= 15 * x = 9 * 35
15x = 315
x = 315/15
x = 21
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(-3, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x + 8
x + y = 2
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: x + x + 8 = 2Combine like terms: 2x + 8 = 2[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6[Division Property of Equality] Divide 2 on both sides: x = -3Step 3: Solve for y
Substitute in x [1st Equation]: y = -3 + 8Add: y = 5Answer:
x = - 3
y = 5
Step-by-step explanation:
y = x + 8 ------(I)
x + y = 2 -------------(II)
Substitute y = x + 8 in equation (II)
x + x + 8 = 2
Combine like terms
2x + 8 = 2
Subtract r from both sides
2x = 2- 8
2x = -6
Divide both sides by 2
x = -6/2
x = -3
Plug in x = -3 in equation (I)
y = -3 + 8
y = 5
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Hello!
|m² - 7| + n² =
= |-2² - 7| + 5² =
= |-4 - 7| + 5² =
= |-11| + 5² =
= 11 + 5² =
= 11 + 25 =
= 36
Good luck! :)
Answer:
28
Step-by-step explanation:
what is 50000000000000000000000000000 cubed
Answer:
50000000000000000000000000000*50000000000000000000000000000*50000000000000000000000000000=1.25e+86
Hope This Helps!!!
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38. The stock price beyond which 0.05 of the distribution falls is _________.
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43