Answer:
[tex]\displaystyle PQ \approx 5.2[/tex]
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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Identify
Angle θ = 55°
Adjacent Leg = PQ
Hypotenuse = 9
Step 2: Solve
Substitute in variables [cosine]: [tex]\displaystyle cos55^\circ = \frac{PQ}{9}[/tex][Multiplication Property of Equality] Isolate PQ: [tex]\displaystyle 9cos55^\circ = PQ[/tex]Evaluate: [tex]\displaystyle 5.16219 = PQ[/tex]Rewrite: [tex]\displaystyle PQ = 5.16219[/tex]Round: [tex]\displaystyle PQ \approx 5.2[/tex]i
x+2y=-1
y=-3x - 8
Help please
Answer:
x= -3 y =1
Step-by-step explanation:
Suppose Rachel creates 1.5 pounds of trash each week. How many kilograms of trash is that? Choose the closest answer.
Answer:
.68
Step-by-step explanation:
Matteo spends a total of 38 min exercising. He walks for 6 min to warm up and then runs at a constant rate of 8 min per mile for the rest of the time. Matteo says that he ran 4.75 mi. Is he correct?
Answer:
No, he not correct because he only ran 4 mi
Step-by-step explanation:
If he walks for 6 min out of the 38 min, then he ran for 32 min.
d = rt 1 mi = 8r
r = 1/8 = 1 mi/8 min Since he ran 32 min we have
d = 1/8(32) = 4 mi.
No, he not correct because he only ran 4 mi
Graph f(x) = 2x - 1. Which of the following graphs is correct?
Answer:
there are no choices
Step-by-step explanation:
Simply the following
-2+3(1-4)-2
Answer:
- 13
Step-by-step explanation:
Given
- 2 + 3(1 - 4) - 2 ← evaluate parenthesis
= - 2 + 3(- 3) - 2 ← perform multiplication
= - 2 - 9 - 2
= - 13
Step-by-step explanation:
solution
= -2+3(3)-2
=-2+3*3-2
= -2+9-2
=-11-2
= -9
Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years. What is the total amount she will be paying on the loan
Answer:
5310
Step-by-step explanation:
6% of 4500=270
270x3years=810
4500+810=5310
Lara will be paying the total amount is $5310
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that, Lara borrowed $4500 for some home repairs. She will be paying 6% in simple interest over the next three years.
We need to find the total amount she will be paying on the loan,
So, the formula for simple interest is - SI = PRT / 100
P = principal, r = rate and t = time
Therefore,
SI = 4500 x 6 x 3 / 100
= 45 x 18 = 810
The interest = $810
She will pay = interest + principal = 810 + 4500 = $5310
Hence, Lara will be paying the total amount is $5310
Learn more about simple interest click;
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(x-1) (x+2) (x-3)= muszę wykonać działanie wyznaczyć iloczyn
Answer:
x^3-2x^2-5x+6
Step-by-step explanation:
100x² + 180x + 81
Solve this PLZ
Answer:
[tex]\huge\boxed{\sf (10x+9)^2}[/tex]
Step-by-step explanation:
[tex]\sf 100x^2 + 180x+81\\\\= (10x)^2 + 2(10x)(9)+ (9)^2\\\\Using \ Formula \ a^2 +2ab+b^2 = (a+b)^2\\\\= (10x+9)^2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex](10x + 9 {)}^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² + 2ab + b², where a = 10x and b = 9.
[tex](10x) ^{2} + 2(10x)(9) + {9}^{2} [/tex]
2) Use square sum: ( a + b )² = a² + 2ab + b².
[tex](10x + 9 {)}^{2} [/tex]
Hence, the answer is (10x + 9)².
What is the answer of R4 × 38
Answer:
38r^4 ( I hope this was helpful) >;D
19.87 but there’s a 20% discount what’s the answer now?
19.87 = 100%
If you divide both sides by ten, you would get what ten percent is.
1.987 = 10%
Multiply this by two to get 20%.
3.974 = 20%
Minus twenty percent from the original amount.
18.87 minus 3.974 = 15.886 after the discount.
A city library selects a random sample of 1,250 of its patrons and finds that the 90% confidence interval for the
proportion of those who have read an e-book in the previous 12 months is (0.71, 0.75).
Calculate the point estimate and margin of error for the given confidence interval.
Enter both values to 2 decimal places.
The point estimate =
The margin of error =
Answer:
point estimate: .73
margin of error: .02
Step-by-step explanation:
correct on edg
11. Wilson bought a bus ticket to travel 22 miles to his friend's house. The ticket price was $5.00
for the first 10 miles and $0.50 for each additional 1/2 mile.
How much did Wilson pay for his bus ticket?
A $11.00
B. $14.50
C. $17.00
D. $22.00
Answer:
A
Step-by-step explanation:
22-10=12
total cost=5+12×0.50
=5+6
=11 $
two functions, A and B , are described as followed
Answer:
it was never followed by the description
Step-by-step explanation:
Which equation, when graphed, has x-intercepts at (8,0) and (-2, 0) and a y-intercept at (0, -48)?
f(x) = -3(x – 8)(x + 2)
f(x) = -3(X + 8)(x - 2)
f(x) = 3(x-8)(x + 2)
O f(x) = 3(X + 8)(- 2)
Answer:
f(x)=-3(x-8)(x+2)
Step-by-step explanation:
f(8)=-3(8-8)(8+2)=-3×0×10=0
f(-2)=-3(-2-8)(-2+2)=-3×(-10)×0=0
f(0)=-3×(0+8)×(0+2)=-3×8×2=-48
Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6
Answer:
k=102
Step-by-step explanation:
hope this helps with your assignment
help pls, I'm timed!
Answer:
90
Step-by-step explanation:
Which of the following situations are equal to 40%? Select all that apply.
A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80
11x + 4y = 32
x = -2y - 2
What is an equation of the line that passes through the points (-6,-5) and (-3,0)?put your answer in fully reduced form
Step-by-step explanation:
The equation is y = -3x + 6.
Answer:
3y = 5x + 15
Step-by-step explanation:
Slope = Change in y-cordinates
---------------------------------
Change in x-cordinates
= 0 - (-5)/-3 - (-6)
= 5/3
Using point (-3,0)
y - y1 = m(x - x1)
y - 0 = 5/3 (x - (-3))
y = 5/3 (x + 3)
Expand the bracket
y = 5x/3 + 15/3
Multiply through by 3
3y = 5x + 15
Solve a quadratic equation by factoring j2–30j=0
Answer:
j = 0 or j = 30
Step-by-step explanation:
j² - 30j = 0
Factorise j out of both terms on the left side.
j (j-30) = 0
Apply zero product rule.
j = 0 or j-30 = 0
Find the value of j.
j = 0 or j = 30
There are 4 consecutive even integers that add up to 268. Which integers are they?
Answer:
4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.
Step-by-step explanation:
Hope this helps :)
pls help ill give brainliest. the red isnt part of it was just how it was screenshot.
Find the area of a circle with 7cm radius .
Use the value 3.14 for π, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
153.9
Step-by-step explanation:
hope it helps
Simplify by combining like terms and then FACTOR the expression -3+5y+5+3y
Answer:
7y+2
Step-by-step explanation:
3y+5y=7y
5-3=2
pls answer asap!!ty!!
Please label the missing angles below.
Answer:
Triangle A: 38 degrees
Triangle B: Unknown (not enough information)
Triangle C: Unknown (not enough information)
Triangle D: 70 degrees
Triangle E: 40 degrees
Step-by-step explanation:
Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.
Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.
Work for Triangle C: Same as B.
Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.
Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.
What is the difference between a wheel and a roller?
In Mr. Jegou’s neighborhood 35% of the houses are blue. Write the percent that do not live in blue houses as a decimal and a fraction in simplest form
Answer:
65%
Step-by-step explanation:
65% + 35%=100%
find the value of the slope and the type of slope
Answer:
-5
Step-by-step explanation:
Each time the x value goes up 1, the y value goes down 5.
change in x = 1
change in y = -5
slope = (change in y)/(change in x)
slope = -5
Answer:
-five
Step-by-step explanation:
rise over run
PLEASE HELP ASAP PRE ALG. 20 POINTS!!!!!
Answer:
0.5/3 or 16.67
Step-by-step explanation:
Slope is y 2 minus y 1 / x 2 minus x 1.
1-0.5/6-3
0.5/3
Select the correct volume formula for a cone.
Answer:
1/3 pie r square h ( 2nd option)
Step-by-step explanation:
3. STOCK A computer stock lost 2 points
each hour for 6 hours. Find the total
points the stock fell.
Answer:
12
Step-by-step explanation:
if you add up 2, 6 times it would be 2,4,6,8,10,12
or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start