Answer:
x = 2
Step-by-step explanation:
The triangle has two congruent legs
For the Pythagorean theorem we have:
x^2 + x^2 = 8
2x^2 = 8
x^2 = 4
x = 2
I am really confused on the graph anyone mind helping me
Simplify
1/4(1 - 2/3)* + 1/3
Enter your answer in the box as a fraction in simplest form
Answer:
5/12
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What is the product of three and the opposite is 4?
Product is multiplication.
The opposite of 4 is -4
3 x -4 = -12
Answer: -12
For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
f(x) = Square root of quantity x plus seven. ; g(x) = 8x - 11 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x plus one
f(g(x)) = 8 Square root of quantity x plus seven - 11
f(g(x)) = 8 Square root of quantity x plus four
f(g(x)) = 2 Square root of quantity two x minus one
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt(x+7)
g(x) = 8x-11
f(g(x))=
Place g(x) in for x in the function f(x)
f(g(x)) = sqrt( 8x-11 +7)
= sqrt( 8x -4)
Factor out 4
= sqrt( 4(2x-1)
= 2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
I'LL GIVE BRAINLIEST !!! FASTERR !
Answer:
Option A, 86°
Step-by-step explanation:
each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°
now, a+b+c+d-94° = 180°-94° = 86°
Answer:
D 266°
Step-by-step explanation:
a+b+c+d-94°
90°+ 90°+ 90°+ 90° -94°
360°-94°
266°
What does x equal? Dpsewbskdye
Answer:
x = 7
Step-by-step explanation:
27 = 7x + 6 - 4x (Given)
27 = 3x + 6 (Simplify)
27 - 6 = 3x + 6 - 6 (Subtract 6 on both sides)
21 = 3x (Simplify)
21/3 = 3x/3 (Divide 3 on both sides)
7 = x (Simplify)
7.
Explain why the equation 6|x| + 25 = 15 has no solution.
When one solves, they arrive at a step where |x| is equal to a fraction that may not be represented as an integer. Since | x| must be an integer, there is no solution.
When one solves, they arrive at a step where x is equal to a negative number. Since x can never be negative inside of the absolute value bars, there is no solution.
When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.
The statement is false. There is a solution.
Answer:
When one solves, they arrive at a step where |x| is equal to a negative number. Since | x| can never be negative, there is no solution.
Step-by-step explanation:
6|x| + 25 = 15
Subtract 25 from each side
6|x| + 25-25 = 15-25
6|x| = -10
Divide by 6
6|x| /6 = -10/6
|x| = -5/3
There is no solution because the absolute value must be greater than or equal to zero. This equation has it negative.
Solve for the measure of angle QSR, given b=136.
The calculated measure of the angle QSR is 68 degrees
How to solve for the measure of angle QSRFrom the question, we have the following parameters that can be used in our computation:
Angle b = 136 degrees
The measure of angle QSR can be calculated using
QSR = 1/2 * Angle b
substitute the known values in the above equation, so, we have the following representation
QSR = 1/2 * 136 degrees
Evaluate
QSR = 68 degrees
Hence, the measure of angle QSR is 68 degrees
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Evaluate Equation
Please Help Me!!
Answer:
C
Step-by-step explanation:
7+(-4x^2) where x=0, 7+0=7
Answer:
C. 7
Step-by-step explanation:
[tex]7+(-4x^2)[/tex]
Replace x with 0
[tex]7+(-4(0)^2)[/tex]
0 squared is 0. -4 times 0 is also 0.
7+0=7
I hope this helps!
find the derivative of y=x²+3x
Answer:
[tex]\frac{dy}{dx}[/tex] = 2x + 3
Step-by-step explanation:
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
y = x² + 3x
[tex]\frac{dy}{dx}[/tex] = 2[tex]x^{(2-1)}[/tex] + 3[tex]x^{(1-1)}[/tex]
= 2x + 3[tex]x^{0}[/tex]
= 2x + 3
Heyyy could someone please help me out?? Would appreciate it. Thanks in advance!!^^
Answer:
Below,...
Step-by-step explanation:
They are saying that if you add a odd number + a odd number than you'd get a even number,... odd + even = odd,... odd x even = even,... and so on,...
Hope it helps,... Chow!
The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:
a) parallel
b) perpendicular
Answer:
a) a=-12
b) a=27
Step-by-step explanation:
a) parallel lines have = slopes SO
-3/2 = -3/2
-3/2 = 18/a
-3a/2 = 18
-3a = 18 * 2 = 36
a = -12
b) perpendicular lines have negative inverse slopes SO
- 3/2 ---> 2/3
2/3 = 18/a
2a/3 = 18
2a = 18 * 3 = 54
a = 54/2 = 27
Can anyone plz solve this question step by step ASAP!
Answer:
40√3 cm²Step-by-step explanation:
Step 1
Find the height:
h² = 8² - (12 - 8)²h² = 64 - 16 = 48h = √48 = 4√3Step 2
Find the area:
A = 1/2(a + b)hA = 1/2(12 + 8)(4√3) = 40√3 cm²the product of 7 and the quotient of 40 divided by 5 is
The quotient of 40 and 5
40÷5=8
=> Product of that number with 7 and 8
So number to find is : 7x8=56
The product of 7 and the quotient of 40 divided by 5 is 56.
What is the quotient?The quotient is the result which is derived by the division of two numbers.
For example, the quotient of 30 divided by 3 is 10.
What is the product of two numbers?The product is the multiplication of two numbers which is written as a*b.
For example, the product of 8 and 9 is 72.
Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.
The quotient of 40 divided by 5 is 40/5= 8
The product of 7 and The quotient of 40 divided by 5= 7*8= 56
Therefore the product of 7 and the quotient of 40 divided by 5 is 56.
Learn more about quotient
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Martina bought 19 pounds of sugar for $10. How many pounds of sugar did she get per dollar?
Answer:
1.9 poundsStep-by-step explanation:
To solve this divide the amount of sugar by the number of dollars:
19 pounds / 10 dollars = 1.9 pounds per dollarPer 10dollar she brought=19pounds
Per dollar
[tex]\\ \sf\longmapsto \dfrac{19}{10}[/tex]
Write in decimals[tex]\\ \sf\longmapsto 1.9pounds[/tex]
Please Help
The students in a high school are being randomly split into focus and accountability groups that meet each morning for the first fifteen minutes of the school day. Each group contains four students, selected regardless of gender or grade level.
In order to explore the composition of the groups with regard to grade level, you have decided to conduct a simulation using colored discs. Since the number of students in each grade level is about the same, you put the same number of four different colored discs in a bag: red, blue, green, and yellow. You decide that red (r) represents the freshmen, blue (b) represents the sophomores, green (g) represents the juniors, and yellow (y) represents the seniors.
Next, you randomly select one disc from the bag, record the color, and put the disc bag in the bag. You do the same thing three more times to represent one group. Then, you complete this entire process twenty-five times, as shown below.
Based on the results of the simulation, the chances of a group having at least one senior is:
likely
unlikely
neither unlikely or likely
19/25 which is likely
count the ones with y and put that over 25
What is the estimated value of 2v12 . 3V5 / V30 . V36
Answer:
the correct answer is b and I know this because I just had it
NOW ASAP I NEED HELP ON THIS FAST PLEASEEEEEEEEEEEEE
Answer:
fourth time ...
same problem...
the red line crosses a corner of a box at (4,20) and (2,10)
20/4 = 5
and
10/2 = 5
the slope , constant, gradient for this relationship is "5"
Step-by-step explanation:
Convert 75 mg into gram
Answer:
[tex]{ \tt{1 \: mg = 1 \times {10}^{ - 3} \: g}} \\ { \tt{75 \: mg = (75 \times 1 \times {10}^{ - 3} ) \: g}} \\ { \bf{ = 75 \times 10 {}^{ - 3} \: grams}} \\ { \bf{ = 0.075 \: grams}}[/tex]
3. JK is tangent to circle L. Find JL to two decimal places.
Answer:
14.32
Step-by-step explanation:
Since this is a right triangle, we can us the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + 14^2 = JL ^2
9+196 = JL ^2
205 = JL ^2
Taking the square root of each side
sqrt(205) = JL
14.31782106 = JL
To 2 decimal places
14.32
if x^2=y^2+z^2
what does x equal?
Answer:
[tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertyAlgebra i
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle x^2 = y^2 + z^2[/tex]
Step 2: Solve for x
[Equality Property] Square root both sides: [tex]\displaystyle x = \sqrt{y^2 + z^2}[/tex]Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Will mark brainliest!
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
one class collects 8 1/4 pounds of recyclable materials. Another class collects 1 1/2
Step-by-step explanation:
what to find then??.........
10.
Define an operation ★ on the set of real numbers as follows:
a ★ b = 0.5ab
If 0.1 ★ b = 10, then evaluate bb.
a. 500
b. 200
c. 20
d. 50
Please explain how you got your answer.
If a ★ b = 0.5ab, then
0.1 ★ b = 0.5 (0.1) b = 0.05b = 10
==> b = 10/0.05 = 200
Solve the following given problem
Answer:
The radius is 3.5cm
Step-by-step explanation:
Given
[tex]V = 192.5cm^3[/tex]
[tex]h = 5cm[/tex]
Required
The volume (V)
The volume of the vase is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]192.5 = 22/7 * r^2 * 5[/tex]
Divide by 5
[tex]38.5 = 22/7 * r^2[/tex]
Multiply by 7/22
[tex]12.25= r^2[/tex]
Take positive square roots
[tex]r = 3.5[/tex]
Write an equation in standard form of the line that passes through the given point and has the given slope (-8,0); m= -4 PLEASE HELP NEED DONE ASAP WILL GIVE BRAINLIEST
Answer:
4x+y=-32
Step-by-step explanation:
given,
slope (m) = -4
point: (-8,0)
as we know the slope intercept form of the line is, y=mx+b, b=y-mx, now we put x=-8, y=0 to find b [because the point is given (-8,0) so it must satisfy the equation]
so,
b = 0-(-4)×(-8) = -32
y=mx+b
or, y=-4x-32
or, 4x+y=-32
(this is the standard form of the line)
Using the equation y - y1 = m(x - x1)
y - 0 = -4(x - (-8))
y = -4(x + 8)
y = -4x - 32
Can someone please do this for me please
Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11
The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
59°
58.3 inches
Step-by-step explanation:
Here is the full question :
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the ladder with the ground is degrees, and the length of the ladder is inches.
Please check the attached image for a diagram explaining this question
The angle the ladder makes with the ground is labelled x in the diagram
To find the value of x given the opposite and adjacent lengths, use tan
tan⁻¹ (opposite / adjacent)
tan⁻¹ (50 / 30)
tan⁻¹ 1.667
= 59°
the length of the ladder can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√(50² + 30²)
√(2500 + 900)
√3400
= 58.3 inches
