Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
Help me plsssssssss
[tex]y \: \alpha \: x[/tex]
Let c be the constant
[tex]y = cx \\ 16 = c4 \\ c = \frac{16}{4} \\ c = 4[/tex]
SO:-[tex]y = cx \\ y = 4 \times ( - 2) \\ y = ( - 8)[/tex]
Answer:
y = 4x
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 16 when x = 4 , then
16 = 4k ( divide both sides by 4 )
4 = k
y = 4x ← equation of variation
When x = - 2 , then
y = 4 × - 2 = - 8
help plz I’m stuckkkk
The "is" means "equals"
So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.
Plz solve this question correctly.
Show the steps needed to solve it.
Answer: 378y^3
Step-by-step explanation:
the formula for volume is V = L * w * h , where V=volume, L=length, W=width, and H=height
if we plug the numbers from the picture in, the formula would look like this:
V = 9y * 7y * 6y
to solve you just multiply them together
V = 378 y^3
3. Which of the following equations has a center of (-4,7) and a diameter of 18?
(1) (x+4)*+(y – 7)' =3
(2) (x+4)* +(y-7)= 324
(3) (x+4)*+(y-7)=9
(4) (x+4)*+(y-7)* = 81
Answer:
option 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 4, 7) and r = 18 ÷ 2 = 9 , then
(x - (- 4) )² + (y - 7)² = 9² , that is
(x + 4)² + (y - 7)² = 81
For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
The local humane society is trying to determine how many racoons there are in a city. They catch and tag 18 raccoons. Later on, they catch 67 raccoons, and 2 of them are tagged. What is the best estimate of the raccoon population? Answer to the closest whole number.
Answer:
83 racoons
Step-by-step explanation:
18+67- 2
you would subtract the two they found with tags
(First correct answer will get brainliest) Determine the length of AB. Write your anseer in simplest form
Answer:
[tex] \frac{6}{6 + AB} = \frac{8}{8 + 10} \\ \\ 6 + AB = \frac{6 \times (8 + 10)}{8} \\ 6 + AB = 13.5 \\ AB = 7.5 [/tex]
What is the value of x in the equation -3/4 = x/24
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = - 18}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{x}{24} [/tex]
➼ [tex] \: x = \frac{ - 3 \times 24}{4} [/tex]
➼ [tex] \: x = \frac{ - 72}{4} [/tex]
➼ [tex] \: x = - 18[/tex]
Therefore the value of [tex]x[/tex] is -18.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex] \frac{ - 3}{4} = \frac{ - 18}{24} [/tex]
➼ [tex] \: \frac{ - 3}{4} = \frac{ - 3}{4} [/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35♨}}}}⋆[/tex]
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Since F and a are directly proportional, we can relate F to our unknown F, and a to our other known a.
25 / 5 = F / 8
Cross-multiply to solve.
5F = 200
F = 40
Hope this helps!
A leading automobile magazine has 60 pages and 4,50,000 copies are printed every month. How many pages in all are printed in the month of April?
Answer:
See the explanation below
Step-by-step explanation:
Number of months =4
Number of copies =450000
Number of pages =60
Number of copies in 4 months =450000*4
=1800000
Number of pages is
=1800000 *60
=108,000,000
please help! i think the answer is 12 but any verification would be greatly appreciated!
Answer:
13.9 or 14
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 13^2 = c^2
25 + 169 = 197
square root 197 to get c
c = 13.9 (14 rounded up)
Helpful thing to note is that the hyptoenuse will always be longer than your "long side" of the triangle
What is the multiplicative rate of change of the
function?
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5
13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d
Answer:
a2 +b2=c2
Step-by-step explanation:
......
hope it helps
Answer: its a^2+b^2=c^2
Step-by-step explanation:
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%
The product of (3+2i) and a complex number is (17+7i)
The complex number is______
Answer:
The complex number is;
37 + 55i
Step-by-step explanation:
Here, we want to find the product of the two
We proceed as follows;
(3 + 2i)(17+ 7i)
= 3(17 + 7i) + 2i(17 + 7i)
= 51 + 21i + 34i + 14(i)^2
Recall; i = √(-1)
Thus, we have it that;
51 + 55i -14
= 51-14 + 55i
= 37 + 55i
Help please if you don’t mind Thankyouu!
Answer:
(3V) / b = h
Step-by-step explanation:
V = (1/3)bh multiply both sides by 3
3V = bh divide both sides by b
(3V) / b = h
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt
please solve this fast.
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
Question 9 of 10 Based only on the given information, it is guaranteed that AB I CD. A D . Given: AABC ZDAC = ZDBC O A. True O B. False
Answer:
False
Step-by-step explanation:
False
There is not enough information to guarantee the lines are perpendicular.
No, we can not say that AB and CD are perpendicular from the information given.
What are perpendicular line?Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot.
The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂.
Given that a triangle ABC, divided into two triangles by a line DC, also
angle DAC and DBC are congruent,
From the given information we can not conclude any relation between both triangles,
Hence, we can not say that AB ⊥ CD
Learn more about perpendicular line click;
https://brainly.com/question/29268451
#SPJ7
How much almond milk does James use per teaspoon of cashew butter
What is the value of x in the equation of 7x-8=13
PLEASE HELP MEEE
Answer:
x = 3
Step-by-step explanation:
7x-8=13
Add 8 to each side
7x-8+8=13+8
7x = 21
Divide each side by 7
7x/7 = 21/7
x = 3
can someone help me with this maths question? workings would be appreciated :]
Adrian, Ben and Charlie share some sweets in the ratio 8:5:10
Charlie got 20 more sweets than Adrian.
Work out the total amount of sweets.
Answer:
total amount of sweets=230
Step-by-step explanation:
ratio=8:5:10
total ratio=8+5+10
=23
Adrian=x
Charlie= x+20
Ben=1/2×(x+20)
Charlie's share
10/23×(x+20+x+(1/2×x+20))=x+20
10/23×(x+20+x+(x+20/2))=x+20
10/23×(x+20+x+x+20/2)=x+20
10/23×(2(x+20)+(2×x)+(x+20/2)/2=x+20
10/23×(2x+40+2x+x+20)/2=x+20
10/23×(2x+2x+x+40+20)/2=x+20
10/23×(5x+60)/2=x+20
50x+600/46=x+20
50x+600=46(x+20)
50x+600=46x+920
50x-46x=920-600
4x=320
4x/4=320/4
x=80
Total amount of sweet
x+x+20+1/2(x+20)
80+80+20+1/2(80+20)
180+1/2(100)
180+50
230
Evaluate x2+9/x2 for each of the given values.
What is the value of the expression when x = 3?
2
3
10
undefined
What is the value of the expression when x = 1?
2
3
10
undefined
What is the value of the expression when x = 0?
2
3
10
undefined
Answer:
ok so we just substate the number in so
6+9/6
6+1 1/3 = 7 1/3
so for part a the answer is 7.33
for part b
2+9/2
3+4 1/2 =7 1/2
so the answer is 7.5
A:7.33
B:7.5
Hope This Helps!!!
Answer:
A, 2
B, 10
C, undefined
Step-by-step explanation:
Just did the assignment E2021
find AD and AB
hhjhh
Answer:
y = 13
x = 20.6155281281
Step-by-step explanation:
5^2 + 12^2 = y^2
25 + 144 = y^2
169 = y^2
[tex]\sqrt{169}[/tex] = y
y = 13
y^2 + 16^2 = x^2
13^2 + 16^2 = x^2
425 = x^2
20.6155281281 = x
Hope this helps!
simple Answer:
y = √(119)
x = √(375)
Step-by-step explanation:
harder answer:
12^2 - 5^2 = y^2
y = √(119)
16^2+ √(119) = 375
x = √(375)
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Combine like terms to create an equivalent expression.
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65
Answer:
3.26d+9.75d-2.653.26d+9.75d−2.653, point, 26, d, plus, 9, point, 75, d, minus, 2, point, 65
Step-by-step explanation:
Answer:
13.01d-2.65
Step-by-step explanation:
I got it right on Khan Academy just combine like terms and you have your answer.