Answer:
96.
sqrt(576) is 24.
And 24 x 4 = 96.
Hope this helps!
96
Step-by-step explanation:4√576 =
= 4√2⁶ₓ3²
= 4√(2³)²ₓ3²
= 4ₓ8ₓ3
= 32ₓ3
= 96
solve by showing work -15 - (-12)
Answer:
-3
Step-by-step explanation:
-15 - (-12) = -15 + 12 = -3
Find the total monthly cost of owning and maintaining a car given the information shown. Monthly car payment Monthly insurance cost Average cost of gasoline per month Average maintenance cost per month $274.96 $ 77.00 $ 89.20 $ 16.38
Answer:
$457.54 total
Step-by-step explanation:
Just add the numbers altogether:
274.96
77.00
89.20
16.38
$457.54 total
The required total monthly cost of owning and maintaining a car, given the information shown, is $457.54.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
To find the total monthly cost of owning and maintaining a car, we need to add up the monthly car payment, the monthly insurance cost, the average cost of gasoline per month, and the average maintenance cost per month.
Adding these values, we get:
Total monthly cost = Monthly car payment + Monthly insurance cost + Average cost of gasoline per month + Average maintenance cost per month
= $274.96 + $77.00 + $89.20 + $16.38
= $457.54
Therefore, the total monthly cost of owning and maintaining a car, given the information shown, is $457.54.
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Calculate the area
[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]
Answer:
[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]
Step-by-step explanation:
The adjacent side lengths and an angle is given.
We need to find the height of the parallelogram.
A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.
We can use trigonometric functions to solve for the height.
sin θ = opp/hyp
sin 63 = h/5
Multiplying both sides by 5.
h = 5 sin 63
h ≈ 4.45503262
Area of parallelogram = base × height
A = 8 × 4.45503262
A = 35.640261
Help on Answering number four and please check my answers!
Answer:
→BA
→CD
Step-by-step explanation:
We have points
← A B C D →
We have →BA
which is a ray going to the left
and
→CD
which is a ray going to the right
A pair of supplementary angles in ratio of 4:5.find them here
Answer:
one angle 100
another angle=80
Step-by-step explanation:
supplementary angles =180
4x+5x=180
9x=180
x=180/9=20
one angle=5x=5(20)=100
another angle=4x=4(20)=80
100+80=180
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{80 \: , 100}}}}[/tex]Step-by-step explanation:
Let the ratios be 4x and 5x
[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )
Collect like terms
⇒[tex] \sf{9x = 180}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]
Calculate
⇒[tex] \sf{x = 20}[/tex]
Value of x = 20
Now, let's replace the value,
⇒[tex] \sf4x = 4 \times 20 = 80[/tex]
⇒[tex] \sf5x = 5 \times 20 = 100[/tex]
Hope I helped!
Best regards!!
please help me on this i’ll mark u the brainliest
Answer:
x = 14Step-by-step explanation:
(4x - 2)° + [180° - (7x - 3)°] + 41° = 180°
(4x)° - 2° + 180° - (7x)° + 3° + 41° = 180°
+2°-180°-3°-41° +2°-180°-3°-41°
- (3x)° = - 42°
÷(-3) ÷(-3)
x° = 14°
x = 14
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, negative 2) and continues up through (negative 5, 3) with an arrow instead of an endpoint. The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, negative 2) with an arrow instead of an endpoint. Which defines the piecewise function shown?
[tex]\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]
Step-by-step explanation:
Find the equation of each line in Slope-Intercept form: y = mx + b
Line 1 passes through (-5, 3) and (0, -2) --> m = -1, b = -2
--> y = -x - 2
Line 2 passes through (0, 0) and (4, -2) --> m = -1/2, b = 0
--> y = -(1/2)x + 0
Now that you have the equations, evaluate which x-values are included.
Line 1: open dot at x = 0 and line goes to the left --> x < 0
Line 2: closed dot at x = 0 and line goes to the right --> x ≥ 0
Now you have all the information you need to write the piecewise function:
[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]
The piece wise function can be written as
[tex]f(x) = -x-2 \; for\; x < 0[/tex]
[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]
The Equation of line passing through [tex](x_1,y_1)\; and \; (x_2,y_2)[/tex] can be given by equation (1)
[tex]y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)[/tex]
The equation of line passing through (0,-2) and (-5,3) =
[tex]y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)[/tex]
[tex]y +2 = -x\\y = -x -2 ......(2)[/tex]
Similarly the line passing through (0,0) and (4,-2) =
[tex]y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0[/tex]
The first line has an open circle at (0, -2) and continues up through (-5, 3) with an arrow instead of an endpoint.
The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. [tex]f(x) = \dfrac{-1}{2}x \; for\; x < 0[/tex]
Hence the piece wise function can be defined by equations (2) and (3)
[tex]f(x) = -x-2 \; for\; x < 0[/tex]
[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]
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Approximately how much dirt is needed to fill a cone with a diameter of 6 in. and a height of 3 in.?
Answer:
Amount of dirt needed to fill the cone = 28.28 in³ (Approx)
Step-by-step explanation:
Given:
Diameter = 6 in
Radius (r) = 6 / 2 = 3 in
Height (h) = 3 in
Find:
Amount of dirt needed to fill the cone
Computation:
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(22/7)(3)(3)(3)
Volume of cone = 28.28 in³
Amount of dirt needed to fill the cone = 28.28 in³ (Approx)
Pls help me ooo Pls it's urgent : Solve:a-(7-a)=5
Answer: a=6
Step-by-step explanation:
a-(7-a)=5
a-7+a=5
2a-7=5
2a=12
a=6 :)
Answer:
[tex]\Huge \boxed{a=6}[/tex]
Step-by-step explanation:
[tex]a-(7-a)=5[/tex]
We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.
Distribute the negative sign.
[tex]a-7+a=5[/tex]
Combine like terms.
[tex]2a-7=5[/tex]
Add 7 to both sides of the equation.
[tex]2a=12[/tex]
Divide both sides of the equation by 2.
[tex]a=6[/tex]
Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is the minimum number of containers Mr. Rush needs to hold all of the spaghetti sauce? 1 point
The answer is 9
Explanation:
We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.
20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers
This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)
The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is 11,542 feet above sea level. What is the elevation of the surface of the lake? Use absolute value to explain.
Answer: 12464 feet
Step-by-step explanation:
Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.
We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.
The deepest point is 11,542 feet above sea level.
That means, the elevation of the surface of the lake is the sum of 922 feet and 11,542 feet which is given by (922+ 11,542) feet =12464 feet
Hence, the elevation of the surface of the lake = 12464 feet
4 rational numbers that are not whole Numbers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....
Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))
Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.
Find the volume of the rectangular prism. 9 ft 9 ft 9 ft
Answer: 729
Assuming each unit is L x W x H, 7 x 7 x 7 = 729, so thats the volume.
Solve the equation. x/8=0.625
Answer:
X = 5
Step-by-step explanation:
x in (-oo:+oo)
x/8 = 0.625 // - 0.625
x/8-0.625 = 0
1/8*x-0.625 = 0 // + 0.625
1/8*x = 0.625 // : 1/8
x = 0.625/1/8
x = 5
x = 5
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
x = 5
Step-by-step explanation:
[tex] \frac{x}{8} = 0.625[/tex]First convert the decimal to an improper fraction
That's
[tex]0.625 = \frac{5}{8} [/tex]So we have
[tex] \frac{x}{8} = \frac{5}{8} [/tex]Multiply through by 8
That's
[tex]8 \times \frac{x}{8} = \frac{5}{8} \times 8[/tex]We have the final answer as
x = 5Hope this helps you
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Answer:
Step-by-step explanation:
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Adding and subtracting
(6x²)-(2x)
Answer:
[tex]\huge \boxed{{2x(3x-1)}}[/tex]
Step-by-step explanation:
[tex](6x^2)-(2x)[/tex]
Apply rule : [tex]-(a)=-a[/tex]
[tex]6x^2-2x[/tex]
The expression cannot be simplified further.
Factor out 2x from the expression.
[tex]2x(3x-1)[/tex]
Answer:
[tex](6x {}^{2}) - (2x)[/tex]
Remove unecessary parentheses[tex]6x {}^{2} { - 2x}[/tex]
Solution
[tex]6x {}^{2} - 2x [/tex]
If:
AC=26,
BC=7x + 2, and
AB = 9x + 8
Find BC!
Answer:
BC = 9
Step-by-step explanation:
Given AC = 26
BC=7x + 2
AB = 9x + 8
Since BC and AB are two parts of AC. Therefore we can write in the following form.
AC = AB +BC
Now insert the given values in the above formula.
26 = 9x + 8 + 7x + 2
26 = 16x + 10
26 – 10 = 16x
16 = 16x
x = 16 / 16
x = 1
Now insert x = 1 in BC=7x + 2
BC = 7 (1) + 2
BC = 9
A roof of the house including its base is in the shape of right prism with a
triangular base with the dimensions shown.
What is the approximate surface area of this prism?
The required surface area of given triangular prism is 391.2 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
In the figure,
From the figure,
length = 14 cm
height = 6.9 cm
base = 8 cm
Surface area of the prism = bh + 3bl
Surface area of the prism = 8×6.9 + 3×14×8
= 391.2 cm²
Thus, the required surface area of given triangular prism is 391.2 cm².
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Answer: 391.2
Step-by-step explanation:
Let me know if im wrong and ill change the answer
Jacques determines the remainder of −17x53+12x9−5x2−11x+1, using the remainder theorem. How does he proceed to the correct answer? A- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11. B- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −21. C- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −11. D- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −21.
Answer:
Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.
Step-by-step explanation:
Got 100% on the test.
A positive two-digit number is written at random. Determine the probability that the number will be at least 75. Please put answer in the form of a fraction.
Answer:
5/18
Step-by-step explanation:
Positive two-digit numbers are:
Numbers in 10 - 99 intervalTotal two-digit numbers:
99 -9 = 90Number of two-digit numbers ≥ 75:
99 - 74 = 25Probability that the number is at least 75:
25/90 = 5/18Answer is 5/18
Is 2.3454128904 irrational
Answer:
yes
Step-by-step explanation:
irrational numbers are the numbers which cannot be written as simple fractions
is 91.7% rational or irrational
Answer: Hi! 91.7% is a rational number. Because...
Step-by-step explanation: rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps!
-5x - 5y + 4x - (2y + 3)
Step-by-step explanation:
-5x - 5y + 4x - (2y + 3)
= - 5x + 4x - 5y - (2y + 3)
= - x - 5y - 2y - 3
= - x - 7y - 3 ( Answer )
Answer:
-x-7y-3
Step-by-step explanation:
distribute parentheses:
-(2y)-(3)= -2y-3
= -5x-5y+4x-2y-3
simplify
group like terms= -5x+4x-5y-2y-3
add similar elements= -x-5y-2y-3
add similar elements= -x-7y-3
Therefore, simplest expression is -x-7y-3
I hope this helps!!!
Find the length of AC¯¯¯¯¯¯¯¯ A. 36.5 B. 46.97 C. 74.63 D. 45.07
Answer:
[tex]a \: 36.5[/tex]
Step-by-step explanation:
cos51° = AC/58
AC = cos51° x 58
AC = 36.5
Answer:
The answer is option AStep-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find AC.
To find AC we use cosine
cos∅ = adjacent / hypotenuse
From the question
AC is the adjacent
AB is the hypotenuse
So we have
[tex] \cos(51) = \frac{AC}{AB} [/tex]
[tex]AC = 58 \cos(51) [/tex]
AC = 36.5Hope this helps you
-1 7/8 times 2 9/10
I’m stuck on this any help?
Answer:
Exact form: -87/16
decimal from -5.4375
mixed number form -5 7/16
Step-by-step explanation:
I'ma god at math
help me please :( i will give brainly ;))
Step-by-step explanation:
a) Distance between Aranville t o Bowtown = 24 miless
b) Bowtown and Dovebury are furthest apart.
c) Toatl distance = 20 + 37 = 57 miles
Please Help: 0.125r - 0.0625 + 0.25r = 0.25 + r
Answer:
r=0.5
Step-by-step explanation:
0.125r+0.25r-0.0625=0.25+r
0.375r-0.0625=0.25+r
0.375r-r=0.25+0.0625
-0.625r=0.3125
r=0.3125/0.625
r=0.5
is 112 between 10 and 11?
Graph 2 + 3y = 6. Please hurry
Answer:
Step-by-step explanation:
Hello please help me
Idk if the answer is 16 or 19
4 - 16 ÷ 4 + 4²