Answer:
[tex] \tan( \alpha ) = \frac{8}{15} [/tex]
Cora bought 90 feet of cable for $.25.20. She needs 40 more feet. If the unit price is the same, how much will she pay for the extra 40 feet of cable?
Answer: $11.2
Step-by-step explanation:
Given
Cora bought 90 feet cable for [tex]\$25.20[/tex]
So, the price of a foot is the division of rate and length
[tex]\Rightarrow \text{Price P=}\dfrac{25.20}{90}\\\\\Rightarrow P=\$0.28\ \text{per foot}[/tex]
for additional 40 feet, the cost is
[tex]\Rightarrow 0.28\times 40\\\Rightarrow \$11.2[/tex]
Thus, Cora pays $11.2 for extra 40 feet
HOW MANY SOLUTIONS DOES
THIS SYSTEN OF EQUATIONS HAVE
y = 2x + 2
y = 2x + 2
Answer: Infinitely many solutions.
Step-by-step explanation:
Find the area please :)
Answer:
it's area is 1/2 b×h
1/2×7×3.8
13.3
Answer:
13.3 ft^2
Step-by-step explanation:
area = base x h / 2
A = 7 x 3.8 / 2
A = 26.6 / 2
A = 13.3 ft^2
There are several characteristics of a parallelogram that can prove a quadrilateral is a parallelogram. Which characteristic would prove a quadrilateral is a parallelogram?
1.Opposite angles are supplementary
2.Adjacent angles are complementary
3.Adjacent angles are supplementary
4.Opposite angles are equal
Answer: its 4
Step-by-step explanation:
Find the volume of the Prism (Picture Provided)
Answer:
volume = 84
Step-by-step explanation:
simple: volume = base x height
6 x 14 = 84
A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АА
A. The area of the cross-sections of the prisms are multiples of each
other
B. The cross-sections of the prisms are the same shape.
C. The vertical cross-sections of the prisms at the same width must
have the same area.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
SUBMIT
Answer:
D
Step-by-step explanation:
The horizontal cross-sections of the prisms which is at same height as the cone should have same area.
Therefore Option D is the answer.
What is a Cone ?A cone is a three dimensional figure that has a circular horizontal structure , and vertically tapering up till a point.
It is given that
A Pyramid and a cone both have same volume.
Height of cone is same as Height of Pyramid .
Volume of cone = (1/3)πr²h
Volume of a pyramid = Area of base * h
When both the volume are equated
as height is same
The Area of the base of the cone = Area of the base of the Pyramid
The horizontal cross-sections of the pyramid which is at same height as the cone should have same area.
Therefore Option D is the answer.
To know more about Cone
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Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 4.
a. 13+ 4i, 28 + 9i, 59+ 20i
c. 11 + 2i, 25 + 6i, 53 + 14i
b. 13 - 4i, 28 - 9i, 59 - 20i
d. 11 - 2i, 25 - 6i, 53 - 14i
Answer:
D. 11 - 2i, 25 - 6i, 53 - 14i
Step-by-step explanation:
correct on EDGE2021
Solve please I really need this answer so if you k ow it please solve it thank u
Answer:
E
Step-by-step explanation:
2/3 times 1/2 is equal to 1/3 and 1/3 times 1/2 is equal to 1/6 yea I'm pretty smart
A Farmer plants the same amount everyday, adding up to 1 3/4 acres at the end of the year. If the year is 1/2 over how many acres has the farmer planted?
Answer:
1/45 acres the farmer planted
Shannon rolls two number cubes, each numbered one through six. She observes the numbers facing up on each number cube and finds the total of the two numbers. What is the probability the total will be 5?
starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).
The probability the sum total will be 5 is 4/36.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
The sample space for rolling two 6 sided cube is
s ={
[tex](1,1), (1,2), (1,3), (1,4), (1,5), (1,6)\\(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)\\(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)\\(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)\\(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)\\(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)[/tex] }
⇒ [tex]n(s)=36[/tex]
The event is getting the probability that the sum total will be 5.
e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }
⇒ [tex]n(e)=4[/tex]
Thus the probability that the sum total will be 5 is
[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]
⇒ [tex]P(e)=\frac{4}{36}[/tex]
Hence we can conclude that the probability the sum total will be 5 is 4/36.
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blahh
I don't like myself
But maybe it's all in my head And I am not the words I've said These images they sell Maybe none of it is real And I could love the way I feel
Answer:
?
Step-by-step explanation:
oh my god wow you're so quirky
In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).
Question 14 options:
A. 11.25
B. 6
C. 5.75
D. 12
Answer:
A. 11.25
Step-by-step explanation:
If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]
Therefore, the coordinate of point C = (11.25, 15.75)
The x coordinate of point C is 11.25
Solve the equation 5x - 8 = 9
Helpppp pleaseeee
Answer:
x= 17/5
Step-by-step explanation:
Answer:
17/5
Step-by-step explanation:
hope this helps with the work
What is the equation for a line that passes through the points (2,-2) and (-4,22)?
A.) Y= -4x + 6
B.) Y= 4x + 6
C.) Y= 4x - 6
D.) y= -4x - 6
Answer:
A.) Y= -4x + 6
Step-by-step explanation:
i was running in a marathon i was in last place then i oveer toke the second place runner what place am i now?
ur in second place
Hopefully it will help u
Halla dos numeros enteros sabiendo que al sumarlos se obtiene (-9) y que el mayor de ellos menos 5 es igual al menor
Respuesta:
-7 y - 2
Explicación paso a paso:
Dejemos que los dos números = x y y
x = mayor
y = menor
x + y = - 9 - - - (1)
x - 5 = y - - - (2)
Ponga y = x - 5 en (1)
x + (x - 5) = - 9
x + x - 5 = - 9
2x - 5 = - 9
2x = - 9 + 5
2x = - 4
x = - 4/2
x = - 2
Ponga x = - 2 en y = x - 5
y = - 2 - 5
y = - 7
area of a triangle pls help meeee
Answer:
50
Step-by-step explanation:
Bxh/2
10x10=100
100/2= 50
SOMEONE HELP ME GET THIS ANSWER!
No links need help ASAP
Answer:
4, 2
Step-by-step explanation:
The formulas for 180 clockwise and counterclockwise wise is -x,-y since both of them are negative they would become positive because -x * -x = + same with y.
Answer: (4, 2)
Step-by-step explanation:
If you start by moving it 45 degrees counter clockwise, it will end up as
(4, -2). Then you move it one more time counter clockwise 45 degrees. T would be at (4, 2)
There are 4 red marbles, 3 blue marbles, and 13 green marbles in a bag.
One marble is drawn, kept, and then a second marble is drawn
What is the probability of drawing a blue marble and then drawing a red marble?
Write your answer as a fraction.
Answer:
3/20+4/19= 137/380
Please help with 19 and 20 find domain and range
The area of a rectangle is 479.4 square feet. The width of the rectangle is 17 feet.
What is the length of the rectangle? *
1. 28.2 feet
2. 190.4 feet
3. 30.94 feet
4. 239.7 feet
The answer is 28.2 because 479.4 ft. ÷ 17 ft. = 28.2 ft.
What is the only graph below that has a Hamiliton Path?
NEED HELP WILL BRAINLIST AND 10 points
Answer:
-4, -2, 6, 10, 12
Step-by-step explanation:
The function is h(x) = 2x + 4. H(x) is basically just another way of writing "y", so we technically have y = 2x + 4. We can complete the table by substituting the value of x that the table gives us.
The table gives us x = -4 and wants us to find h(x), or y. So, we do y = 2(-4) + 4 and we get y = -4.
The table gives us x = -3 so we do y = 2(-3) + 4 and we get y = -2.
The table gives us x = 1 so we do y = 2(1) + 4 and we get y = 6.
The table gives us x = 3 so we do y = 2(3) + 4 and we get y = 10.
The table gives us x = 4 so we do y = 2(4) + 4 and we get y = 12.
I need help wit math rq pls! :(
Find the balance of a savings account at the end of years if the interest earned each year is . %. The principal is $. what is it please?
Answer:
You can use the time value of money formula.
FV = PV(1 + r)^n
FV = future value
PV = present value
r = interest rate = percentage/100
n = number of compounding periods
FV = 500*(1 + 0.075)^10 = $ 1030.52
HELP!
Find the area of a square with a diagonal of length 12.
Answer:
6
Step-by-step explanation:
Answer:
72 square units
Step-by-step explanation:
you can use the Pythagorean Theorem; because we're dealing with a square then each side can be assigned the same variable, let's use 'a'
a² + a² = 12²
2a² = 144
a² = 72
a = [tex]\sqrt{72}[/tex]
[tex]\sqrt{72}[/tex] can be simplied as [tex]\sqrt{9}[/tex]·[tex]\sqrt{4}[/tex]·[tex]\sqrt{2}[/tex] which is 3·2·[tex]\sqrt{2}[/tex]
each side has a length of 6[tex]\sqrt{2}[/tex]
A = (6[tex]\sqrt{2}[/tex])² which is 6·6·2 or 72
Suppose you slice through a square pyramid such that the plane is parallel to the base and halfway up the total height of the pyramid. How does the side length of the cross section compare to the side length of the base?
Answer:
they re equal their for you can divide
Step-by-step explanation:
Mrs. Williams uses the following recipe for crispy rice treats. She decides to make 2/3 of the recipe. Recipe: 2 cups melted butter, 24 oz marshmallows 13 cups rice crispy cereal. How much of each ingredient will she need? Write an expression that includes multiplication
given the point and slope write the equation of the line 9,-4; slope -2/3