Answer:
(x - 3)(x - 12)
Step-by-step explanation:
Assuming you require to factor the expression
x² - 15x + 36
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)
The factors are - 3 and - 12, since
- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then
x² - 15x + 36 = (x - 3)(x - 12) ← in factored form
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hours.
Numerical Answers Expected!
Answer for Blank 1:
Answer:
567 miles
Step-by-step explanation:
we break down how many miles he went in 1 hour
315/5
he went 63 miles in 1 hour
times this by 9 is 567 miles in 9 hours
Answer:
567 milesStep-by-step:we break down how many miles he went in 1 hour 315/5 he went 63 miles in 1 hour times this by 9 is 567 miles in 9 hours
Step-by-step explanation:
Please help (;´༎ຶٹ༎ຶ`)
Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
A. K=-3
B. K=1/3
C. K=1/2
D. K=2
E. K=3
F. K=-1/3
Given:
The three points are W(0,-2), I(2,0) and L(5,k).
To find:
The value of k for which the given points are collinear.
Solution:
We know that, three points are collinear if the area of the triangle formed by these three points is 0.
[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]
[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]
The three points are W(0,-2), I(2,0) and L(5,k). So,
[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]
[tex]0+2(k+2)+5(-2)=0[/tex]
[tex]2k+4-10=0[/tex]
[tex]2k-6=0[/tex]
Adding 6 on both sides, we get
[tex]2k=6[/tex]
[tex]k=\dfrac{6}{2}[/tex]
[tex]k=3[/tex]
Therefore, the correct option is E.
Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between
Answer:
Third side lies between 10 & 22.
Step-by-step explanation:
Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.
So, letting third size be = x
Difference of two sides < Third side x < Sum of two sides
Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22
Hence, 10 < Third side x < 22
Copy and fill this table
To find a y term, find the absolute value of the x term (|x|).
Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).
Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.
Find the absolute value of each x term to find y:
x ⇒ y
-2 ⇒ 2
-1 ⇒ 1
0 ⇒ 0 (the absolute value of 0 is always 0)
1 ⇒ 1
2 ⇒ 2
I hope this helps!
The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11
Answer:
B) 13
Step-by-step explanation:
Average age means to calculate mean:
Mean = (Sum of all numbers)/(Number of numbers)
Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8
Mean = (104)/8
Mean = 13
Pedro is ordering a scoop of ice cream. For the flavor, he is given the option of chocolate,
strawberry, or vanilla. For the size, he is given the option of small, medium, or large. For the
cone, he is given the option of a sugar cone, waffle cone, or cup. How many possible order
combinations are there?
Answer:
Hope this helps :D
The answer is 27(If i`m not mistaken)
Answer:
27 combinationsStep-by-step explanation:
There are options:
Flavor = 3Size = 3Cone = 3Number of possible combinations:
3*3*3 = 27A triangle has sides with lengths of 10 millimeters, 17 millimeters, and 18 millimeters. Is it a right triangle?
Answer:
no, it is not
if it were a right triangle, 10² + 17² = 18²
but this is not the case
Step-by-step explanation:
we would use Pythagoras theorem to determine if it is a right angle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 17² =
100 + 289 = 389
square root of 389 is 19.72 and not 18. thus, it is not a right triangle
In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.
Answer:52.1
Step-by-step explanation:
adj/hyp= x/57
cos 24=x/57
57 cos 24=x
x=52.0721= 52.1 FT
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
help please this is hard
Answer:
m∠A = 120°
m∠C = 45°
Step-by-step explanation:
all triangle angles add up to 180
(12x + 12) + 15 + (3x +18) = 180
15x + 45 = 180
15x = 135
x = 9
m∠A = (12x + 12) = 12(9) + 12 = 120
m∠C = (3x +18) = 3(9) + 18 = 45
please help
Mofor and Shanice are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Mofor sold 12 small boxes of oranges and 3 large boxes of oranges for a total of $96. Shanice sold 6 small boxes of oranges and 6 large boxes of oranges for a total of $84. Find the cost each of one small box of oranges and one large box of oranges.
Answer:
$6 = cost of small box
$8 = cost of large box
Step-by-step explanation:
Let s = cost of small box
l = cost of large box
(1) 12s + 3l = 96 (2) 6s + 6l = 84
Multiply by -2 -24s - 6l = -192
-18s = - 108
s = $6 = cost of small box
12(6) + 3l = 96
72 + 3l = 96
3l = 24
l = $8 = cost of large box
Using Angle Relationships to Solve Equations
Answer:
x+x+4+3x-9=90
5x-5=90
5x=95
x=19
9. 19
10. 19+4=23
11. 3×19-9=48
Someone answer this please
Answer:
-23/6=y
Step-by-step explanation:
3x-6y=11
3*-4-6y=11
-12-6y=11
y=-23/6
The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9
Answer:
no.of boys is 45
Step-by-step explanation:
here, let the number of boys and girls be 5x and4x
ATQ,
5x=4x+9
or,5x-4x=9
or,x=9
then, the number of boys is 9×5=45
and the number of girls is 9×4=36..
Simplify. 8*2 + 2
Please
Answer:
Step-by-step explanation:
8 exponent 2 + 2 = 64 + 2 = 66
Answer:
8^2+2
=8*8+2 [8^2=8*8]
=64+2
=66
Step-by-step explanation:
The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.
math help pls answer
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
will mark brainlist + 30 points .. please help asap!!
This probability distribution shows the
typical distribution of the number of shoes
in a teenager's closet.
Shoes
1
2
3
4
5
Frequency
12
20
38
20
10
Using this distribution, find the probability
that a teenager has exactly 2 pairs of shoes
in their closet.
p = [?]
Answer:
is 20 is your answer I believe
Answer:
p=2/20
p=1/10
the probability that a teenager has exactly 2 pairs of shoes is 1/10
What is the area A B C or D
Answer:
D.Step-by-step explanation:
[tex]A=\frac{40^o}{360^o}\cdot \pi\cdot 10^2=\frac19\cdot100\pi=\frac{100}9\pi\, cm^2[/tex]
Just a few more, help??????????
Answer:
53
Step-by-step explanation:
complementary angle meaning it needs to have the whole sum of 90 degree.
90-37=53
Which equation represents the relationship between s and t? A. s=1/7t B. s=7t C. s=t+2 D. s=t+18
Answer A
Step-by-step explanation: 2+2=22-55= -12-5= -7 then take away the negative then look outside and u should see a tree. Your final answer should be s=1/7t
The cube below is divided into 8 equal cubes and broken apart. What is the total surface area of all 8 cubes? PLEASE ANSWER WILL GIVE BRAINLEST. please..
Answer:
1,296 FT2
Step-by-step explanation:
Answer:
i tried every way possible and none of the have the same answer as the solutions i made BUT, all of my answer were the closest to 216 so i would guess that one
Step-by-step explanation:
Sorry if i was wrong, i tried my best but i didnt get any of those answers
If x^2 =2” what is the value of x
Answer:
solution given:
x²=20
x=±√20 is your answer
Answer:
2
Step-by-step explanation:
[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]
A survey of a random sample of juniors shows that 12% are not planning to attend homecoming, and 88%
are planning to attend. The survey has a margin of error of t8%. What is the range for the percentage of juniors who are
going to homecoming?
F 4% to 20%
G 4% to 12% H 80% to 96%
J. 4% to 96%
Answer:
i would guess
Step-by-step explanation:
PLS HELP!!
Find the length of AB.
Answer:
About 9.4 units
Step-by-step explanation:
can someone please help? :)
Answer:
The first step is to find the volume of the two hemispheres.
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]
Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.
Volume of sphere
[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]
[tex] = 2304\pi \: in^{3} [/tex]
Volume of solid
= volume of cylinder -volume of 2 hemispheres
Let's find the volume of the cylinder.
[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]
Volume of cylinder
[tex] = \pi( {12}^{2} )(24)[/tex]
[tex] = 3456\pi \: in^{3} [/tex]
Thus, volume of solid
[tex] = 3456\pi - 2304\pi[/tex]
[tex] = 1152\pi[/tex]
[tex] = 1152(3.14)[/tex]
[tex] = 3617.28 \: in^{3} [/tex]
Answer:
Solution :-Volume of solid = Volume of Sphere - Volume of cylinder
Volume = 4/3πr³ - πr²h
Volume = 4/3 • π • 12³ - π • 12² • 24
Volume = 4/3 • π • 1728 - π • 144 • 24
Volume = 4 • π • 576 - π • 3456
Volume = π(3456 - 2304)
Volume = π(1152)
Volume = 3619.11 in³
[tex] \\ [/tex]
1. The perimeter of a rectangular garden is 348 m. If the width of the garden is 81 m, what is its length?
2. The area of a rectangular window is 6624 cm If the length of the window is 92 cm, what is its width?
Answer:
1. 93 m is the length of the rectangular garden.
2. The width of the window is 72 cm.
Step-by-step explanation:
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²