Answer:
x^2-12x+31
Step-by-step explanation:
Standard form of the quadratic equation (x-6)^2-5 is x^2-12x+36-5=x^2-12x+31
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Answer:
c = 21
Step-by-step explanation:
**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**
If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.
PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.
With that in mind, we can apply this ratio to find WX.
We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.
c = 21
Hope this helps (●'◡'●)
For every paper boat that Lina makes Harry can make 2 paper boats if they make 117 paper boats altogether how many paper boats does Harry make
Answer:
78
Step-by-step explanation:
For every 1 bout Lina makes, Harry makes two boats.
1 + 2 is 3.
117 divided by 3 = 39, which is how many boats Lina made.
39 x 2 = 78, which is how many boats Harry made.
To check our answer, 39 + 78 = 117, which is how many boats they made altogether, so the answer is correct.
Answer:
78
Step-by-step explanation:
My knowledge!!
Hope it helps!
36. Factorize x-12x + 20
Find the volume of the following figures.
Answer:
Solution given:
radius [r]=3ft
height[h]=5ft
Volume of cone=⅓*πr²h
$ubstitute value
Volume of cone =⅓*3.14*3²*5=47.1ft²
Volume of cone is 47.1ft²
Which of the following statements best defines a sample space?
A.
A sample space is one particular outcome for a given situation.
B.
A sample space is the set of all possible outcomes for a given situation.
C.
A sample space is one particular situation for a given outcome.
D.
A sample space is the set of all possible situations for a given outcome.
Answer:
i guess Bis the answer bcuz, A sample space is a collection or a set of possible outcomes of a random experiment
Statement B is correct, which best defines the sample space that is " a sample space is the set of all possible outcomes for the a given situation".
What is sample space in probability?
A sample space is a collection or a set of possible outcomes of a random experiment. It is represented by using the symbol "s".
For example,
When we flip or toss a coin, two outcomes are possible such as head and tail. Therefore the sample space for this experiment is given as
Sample space, S = {H, T} = {Head, Tail}
According to the given option
Option B is correct. That is a sample space is the set of all possible outcomes for a given situation.
Learn more about sample space here:
https://brainly.com/question/17144524
#SPJ2
Can someone help me in this plz
Answer:
a =2 5
b =50
Step-by-step explanation:
Help, please, I'll give brainliest
Hi I need help with this question please!!! I don’t understand it :/
Answer:
- 22.5
Step-by-step explanation:
Substitute x = 3 into f(x) and x = 16 into h(x) , then
[tex]\frac{1}{2}[/tex] g(3) - h(16)
= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)
= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)
= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)
= - 13.5 - 9
= - 22.5
HHHHELP ME!!!!!! PLZ
Total gasoline = 10 gallons
Gasoline left after 100 miles = 5 gallons
Gasoline used in 100 miles
= Total gasoline - Gasoline left after 100 miles
= 10 gallons - 5 gallons
= 5 gallons
Gasoline used in 1 mile
= Gasoline used in 100 miles/100
= 5 gallons/100
= 0.05 gallons
Which statements are correct? Check all that apply.
Answer:
e s r
Step-by-step explanation:
Identify f? 6(3f - 15)
Answer:
[tex]6(3f-15)=90[/tex]
[tex]3f=90/6+15=30[/tex]
[tex]f=10[/tex]
---------------------------
Hope it helps...
Have a great day!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]
[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]
[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]
[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]
[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]
[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]
[tex]\mathsf{90 + 90 = \bf 180}[/tex]
[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]
[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]
[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]
[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]
[tex]\mathsf{f = \dfrac{180}{18}}[/tex]
[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]
[tex]\mathsf{\dfrac{180}{18}}[/tex]
[tex]\mathsf{= \bf 18}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Given:
The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].
The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,
[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]
[tex]7=l[/tex]
Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.
For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles triangle
SEE QUESTION IN IMAGE
Answer:
Step-by-step explanation:
[tex]Mean=\frac{all.ages.added.together.of.all.kids}{total.number.of.kids}[/tex] Hopefully, that makes sense! To get the numerator of that problem, we take the number of kids and multiply it by the corresponding age and add them all together. To get the denominator, we add the total number of kids together. That will look like this mathematically, setting the mean equal to 14.44, as stated:
[tex]14.44=\frac{13(15)+14(42)+15X+16(10)+17(3)}{15+42+X+10+3}[/tex] and simplify that a bit to
[tex]14.44=\frac{195+588+15X+160+51}{70+X}[/tex] and a bit more to
[tex]14.44=\frac{994+15X}{70+X}[/tex] and cross multiply
14.44(70 + X) = 994 + 15X and
1010.8 + 14.44X = 994 + 15X and
16.8 = .56X so
X = 30
30 kids are 15 years old for the mean age to be 14.44
d.30
Answer:
Solution given:
x. [tex] \:\:\:[/tex] f. [tex] \:\:\:[/tex] fx
13. [tex] \:\:\:[/tex] 15. [tex] \:\:\:[/tex] 195
14.[tex] \:\:\:[/tex] 42 [tex] \:\:\:[/tex] 588
15. [tex] \:\:\:[/tex] x. [tex] \:\:\:[/tex] 15x
16. [tex] \:\:\:[/tex] 10. [tex] \:\:\:[/tex] 160
17. [tex] \:\:\:[/tex] 3. [tex] \:\:\:[/tex] 51
. n=70+x. [tex]\sum[/tex]=994+15x
we have
mean=sum/n
14.44=[tex]\bold{\frac{\sum}{n}}[/tex]
14.44=[tex]\bold{\frac{994+15x}{70+x}}[/tex]
doing crisscrossed multiplication
(70+x)*14.44=994+15x
1010.8+14.44x=994+15x
15x-14.44x=1010.8-994
0.56x=16.8
x=16.8/0.56
x=30
find the measure of acute angle of a right angle triangle when one angle is 60°
Answer:
30 degrees.
Step-by-step explanation:
Let the acute angle be x.
Then as the 2 acute angles in a right triangle sum to 90 degrees,
x = 90 - 60
= 30.
We used the information we know to give us this equation.
90°+60°+x=180°
We add 90° and 60° to give 150°
150°+x=180°
x must therefore be 30°... 2.........5
16--- + 6---
.....3.........8
I need this answer fast pls
Answer:
what is that? I can't understand it.
3(x+5)-7=2(x+2) this is x, not multiplication and I really need the answer thanks
Lets do
[tex] \\ \sf \longmapsto \: 3(x + 5) - 7 = 2(x +2) \\ \\ \sf \longmapsto \: 3x + 15 - 7 = 2x + 4 \\ \\ \sf \longmapsto \: 3x + 8 = 2x + 4 \\ \\ \sf \longmapsto \: 3x - 2x = 4 - 8 \\ \\ \sf \longmapsto \: x = - 4[/tex]
Multiply. (Use photo). Enter your answer in simplest radical form.
Answer:
72√2
Step-by-step explanation:
3√2 × 2√8 × √3 × √6
The above can be simplified as follow:
3√2 × 2√8 × √3 × √6
Recall
a√c × b√d = (a×b)√(c×d)
3√2 × 2√8 × √3 × √6 = (3×2)√(2×8×3×6)
= 6√288
Recall
288 = 144 × 2
6√288 = 6√(144 × 2)
Recall
√(a×b) = √a × √b
6√(144 × 2) = 6 × √144 × √2
= 6 × 12 × √2
= 72√2
Therefore,
3√2 × 2√8 × √3 × √6 = 72√2
Fill in the following statements.
DE ||
2DE =
Answer:
DE ║ BC
BC = 2(DE)
Step-by-step explanation:
From the picture attached,
AD = DB [Given]
AE = EC [Given]
Therefore, points D and E will be the midpoints of the sides AB and AC.
By midsegment theorem,
Segment joining midpoints of the two sides of a triangle is parallel and measures the half of the third side of the triangle.
DE ║ BC
DE = [tex]\frac{1}{2}(BC)[/tex]
BC = 2(DE)
Can someone Answer this
Answer:
tan x = c/b
cos x = b/a
sin x = c/a
Step-by-step explanation:
an easy way to memorize it would be SOH CAH TOA
SOH = sin, opposite, hypotunese
-- you find the angle and you divide it's opposite and hypotunese when it asks for sin
CAH = cos, adjacent, hypotunese
-- you find the angle's adjacent side and hypotunese, then divide
TOA = tan, opposite, adjacent
-- you find the angle's opposite side and divide it by the adjacent side
Find the slope between (-2,-2) and (0,-3)
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-2 -2 0 3
ΔY 5
ΔX 2
slope= 2 1/2
B= 3
Y =2.5X +3
Would appreciate the help please!
Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.
Answer: He bought 6 pounds of coffee.
Step-by-step explanation:
Money he have = 70
money he used to buy = 70.00 - 23.62 = 46.38
so
7.73 dollar = 1 pound
1 dollar = 1/(7.73) = 100/773 pound
46.38 dollar = (100/773) * 46.38 = 6 pound
-2/3a+5/6a-1/5a-1/6
Answer:
[tex]\frac{-1}{30} a - \frac{1}{6}[/tex]
Step-by-step explanation:
Be sure to show your work and solve for e:
17 + e + 11 = 56
How can 65% be broken down with friendly percents to find 65% of a number?
A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>
Answer:
10%
Step-by-step explanation:
Answer:
given that the only one that actually adds up to 65%
is B....
B. 25% + 10% + 10% + 10% + 10%
Step-by-step explanation:
Please I need some help!
Answer:
A
Step-by-step explanation:
A compressed by a factor of 1/4 in the y or vertical direction
The value of 9.6 x 10000 lies between
a) 800 and 900
b)300 and 400
c) 80 and 90
d) 30 and 40
Answer:
option A is write answer
I hope you help
Answer:
none of these
Step-by-step explanation:
it's 96000 so none
I need help with this math problem
GP
We have
(a + bx) / (a - bx) = (b + cx) / (b - cx)
==> (a + bx) (b - cx) = (a - bx) (b + cx)
==> ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²
==> (b ² - ac) x = (ac - b ²) x
==> b ² - ac = ac - b ²
==> 2b ² = 2ac
==> b ² = ac … … … [1]
Similarly, you would find
(a + bx) / (a - bx) = (c + dx) / (c - dx)
==> ad = bc … … … [2]
and
(b + cx) / (b - cx) = (c + dx) / (c - dx)
==> c ² = bd … … … [3]
Now:
c ² = bd ==> b = c ² / d
b ² = ac ==> c = b ² / a
ad = bc ==> d = bc / a
and we find
d / c = (bc / a) / (b ² / a) = c / b
and
c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a
which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.
If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1
Answer:
1/4
Step-by-step explanation:
a^2
Let a= 1/2
(1/2)^2
(1/4)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]