Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
--------------------------------------------------
The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
(20,8),(9,16). Can u do a step by step
Answer: [20x, 8y] [9x, 16y]
Step-by-step explanation:
Go on x value 20 and go up to 8 on y value.
Go on x value 9 and go up 16 on y value.
Solve the triangle in the figure.
Question options:
A)
BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°
B)
BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°
C)
BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Answer:
D)
BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°
Step-by-step explanation:
15²-12² = 9²
BC = 9
sin B = 12/15 = 0.8
∠B = 53.1°
The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:
H² = P² + B²
The length BC will be calculated as below:-
15²-12² = 9²
BC = 9
The angle B will be calculated as below:-
sin B = 12/15 = 0.8
∠B = 53.1°
Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.
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Two heads 35 Two tails 23 One head, One tail 52 What is the theoretical probability that a coin toss results in two heads showing?
Answer:
[tex]Pr = 0.25[/tex]
Step-by-step explanation:
Given
Two heads ---> 35
Two tails ---> 23
One head, One tail ---> 52
Required
The theoretical probability of 2 heads
When a coin is tossed, the probabilities are:
[tex]P(Head) = 0.5[/tex]
[tex]P(Tail) = 0.5[/tex]
So, the theoretical probability of 2 heads is:
[tex]Pr = P(Head) * P(Head)[/tex]
[tex]Pr = 0.5 *0.5[/tex]
[tex]Pr = 0.25[/tex]
Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment
a boat travels at a rate of 25 miles, m, per hour, h. which equation represents this scenario?
A) m=25h
B) m=12+h
C) m=12-h
D) m=h/12
identifica los factores en los siguientes productos de polinomios.
a)5x (x-1)
b) (-2x)(x+10)
c) (x+y)(5x-y)
d) x(x-5)(2x+3)
e)2x(3x+4)(y+1)
f) -y (2y+9)(10-11y)
ayudaaa porfa necesito las respuestas
Answer:
a)5xx-5x=5x²-5x
b)-2x(x+10)
c)5x²+4xy-y²
d)2x³-7x²-15x
e)6x²y+6x²+8xy+8x
f)79y²+22y³-90y
If the circumference of a circle is 12.56 ft, what is the length of the radius? Use 3.14 for π.
A. 6.28 in.
B. 4.03 in.
C. 4 in.
D. 2 in.
Answer:
D - 2in
Step-by-step explanation:
Find the volume of the pentagonal base is 33.5 cm2 and the height of the prism is 15 cm. Do not include units in your answer.
Answer:
[tex]V=502.5\ cm^3[/tex]
Step-by-step explanation:
The area of the pentagonal base, A = 33.5 cm²
The height of the prsim,h = 15 cm
We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :
[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]
So, the required volume is [tex]502.5\ cm^3[/tex].
Consider this expression. x-4/2(x+4)
Answer:
Option A
Step-by-step explanation:
We will simplify the expressions given in the options first,
x² - 16 = (x - 4)(x + 4)
2x + 8 = 2(x + 4)
x² + 8x + 16 = (x + 4)²
Option A
[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]
= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]
= [tex]\frac{x-4}{2(x+4)}[/tex]
Option B
[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]
= [tex]\frac{2}{x^2-16}[/tex]
Option C
[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]
= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{(x-4)(x+4)}{2}[/tex]
Option D
[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]
= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]
= [tex]\frac{2(x+4)}{(x-4)}[/tex]
Therefore, Option A is the answer.
If you had a right triangle with legs measuring 40 yards and 100 yards long,
what would be the length of the hypotenuse? Round your answer to the
nearest yard if necessary. *
70 yd
92 yd
108 yd
146 yd
9514 1404 393
Answer:
(c) 108 yd
Step-by-step explanation:
For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...
c² = a² +b²
Solving for c, we have ...
c = √(a² +b²)
c = √(40² +100²) = √(1600 +10000) = √11600
c ≈ 107.70 . . . . yards
The length of the hypotenuse is about 108 yards.
Someone plz help me giving brainliest
Answer:
1. Why can't he understand that we don't have no more to give to him.
2. The sitter had to sing Im a Little Teapot before Suzie would go to bed.
3. Meddlesome is interfering.
4. Heading
5.Takes
Loki wrote 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?
Answer:
30 minutes!!
Step-by-step explanation:
60 ÷ 12 = 5 seconds = 1 / 12 of a minute
5 x 6 = 30 seconds
Write an algebraic expression for...
15 more than w
*An algebraic expression is a mathematical phrase that can contain numbers, variables (letters) and operations (+, -, x ÷)
Help me with this!! Will mark Brainliest ❤️
Answer:
Yes
Step-by-step explanation:
If HI = 7, find KL.
Answer:
14
Step-by-step explanation:
(I go to a french school, so excuse my terminology, which might not always be correct)
The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.
GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.
2*7 = 14
KL = 14
write the equation of the line pictured in standard form
Answer:
x+2y=4
Step-by-step explanation:
y=-1/2x+2 multiply both sides by 2
2y=-1x+4
2y+x=4 or x+2y=4 standard form
Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
A 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3
Answer:
7/12 or 58%
Step-by-step explanation:
Answer:
17/100
Step-by-step explanation:
Given that p =5, q = 2, r=4
What is the value of 7r
Answer:
28
Step-by-step explanation:
if r=4 that means that 7r= 7×r is 28
A trapezoid with an area of 36 inches squared.
What is the area of the enlarged trapezoid?
54 in.²
81 in.²
576 in.²
864 in.²
Answer:
B. 81 in.²
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
1.5 × 1.5 = 2.25
Area of new trapezoid: 2.25 × 36 in²
Area of new trapezoid = 81 in²
The area of the enlarged trapezoid would be 81 in² or option B.
Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.
Answer:
the figure is missing. please provide the figure.
Laura has a bag of markers. In the bag there are:
7 red markers
5 blue markers
3 yellow markers
She pulls markers from the bag one at a time without putting any back into the bag. What is the probability that the first marker she pulls is yellow and the second marker is red?
Answer:
3/14
7/13
Step-by-step explanation:
Please help Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form?
Answer:
[tex]Probability = \frac{11}{40}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
[tex]7th\ graders =11+8+8+13[/tex]
[tex]7th\ graders =40[/tex]
7th graders that can play guitars are:
[tex]Guitars = 11[/tex]
So, the probability is:
[tex]Probability = \frac{Guitars}{7th\ graders}[/tex]
[tex]Probability = \frac{11}{40}[/tex]
2 percent of what number equals 1?
Answer:
50
Step-by-step explanation:
2/100 of X=1
Multiply both sides by 100 to remove the hundred base
The resultant will be 2x=100
X= 50
Use the table to identify the values of p and q that should be used to factor x2
+9x-10 as (x+ p)(x+ q).
A. -2 and 5
B. 2 and=5
C. -1 and 10
D. 1 and 10
Answer:
-1 and 10
Step-by-step explanation:
I just took the quiz
Which statement about the value of a credit report to lenders and borrowers is NOT true?
aCredit reports tell borrowers their likelihood of getting a loan, and their likelihood of getting a good rate.
bCredit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
cCredit reports tell lenders the risk that a borrower will not repay a loan.
dCredit reports tell borrowers and lenders about the borrower’s past performance on loans.
Answer:
Credit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
Step-by-step explanation:
The answer is right
What is the measure of the missing angle?
Answer:
79 degrees
Step-by-step explanation:
You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79
Answer:
79
Step-by-step explanation:
28+73+x=180
a straight line is 180. That's how I got what it is equal to.
28+73= 101
101+x=180
subtract
180-101= 79
hope this helps!!
HELP AGAIN!!!!!!!!
Three squares each have sides of length 6 units and overlap each other as shown below. The points where the sides cross are midpoints. Find the area of the gray figure in square units.
Answer:
90
Step-by-step explanation:
Partition the figure by extending the sides of the ``middle'' square as shown at the right. Each original square contains four $3 \times 3$ small squares. The shaded figure consists of ten $3 \times 3$ squares, so its area is $10 \times 9 = \boxed{90\text{ square
units}}$.
In this exercise we have to use the knowledge of areas to calculate the area of the square in gray, so we have that:
[tex]A=90[/tex]
First it is informed that one side of the square is 6, so every square has exactly:
[tex]l^2=6^2=36[/tex]
Adding that we have 3 squares with the same value of sides:
[tex]36*3=108[/tex]
However, there are areas that are being calculated twice in the central square, these areas are smaller squares that have side values equal to 3, so:
[tex]l^2=3^2=9\\9*2=18\\108-18=90[/tex]
See more about areas at brainly.com/question/1631786
What is the graph of the solution set of b - 4 2 -1?
Answer:
the B graph
Step-by-step explanation:
y=3/4ax+3, m=9/16
what does a equal? please explain.
i have a question what is ten times ten divided by 2
Answer:
50!
Step-by-step explanation: