Answer:
Length of arc S:
L = radius x angle (in rad) = 5 x 0.4 = 2
Hope this helps!
:)
Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.
Answer: It is not a perfect rectangle
Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile
Answer:
Step 4: What is the factored form of this trinomial?
✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )
✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )
✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )
How many mL are in a cubic centimeter?
1,000
10,000
100.000
none of the above
Answer:
none of the above
Step-by-step explanation:
One milliliter is equal to a cubic centimeter. I think from the options, it's self-explanatory.
Find the volume *
5 in
12 in
7 in
Answer:
420
Step-by-step explanation:
multiply them by each other
Answer:
420 square inches
Step-by-step explanation:
(5x12)x7=?
12x5=60
60x7=420
(5x12)x7=420
Hope this helped!
pleeeeeeeaaaaseee heeelp meeeee
The area A of a trapezoid is the height h times the average of the parallel bases a and b.
A = (1/2)(a + b)h
Solving for a,
2A = (a+b)h
2A/h = a+b
a = 2A/h - b
We have A=59.64, b=4, h=8.4
a = 2(59.64)/8.4 - 4
a = 10.2 yards
Answer: 10.2
An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?
Answer:
2500 cups
Step-by-step explanation:
Let c = total cups
c*30% = green cups
c*.30 = 750
Divide each side by .30
.30c/.30 = 750/.30
c =2500
Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality
Answer:
Inscribed angles, substitution property of equality
Step-by-step explanation:
We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.
Plus i took the test and its right.
Angles to be proven as supplementary angles are known as inscribed
angles, and they are used as the substitute to known angles.
Response:
Inscribed angles; substitution property of equalityWhich method can be used to determine the correct option to complete the statement?The given information are;
Quadrilateral CDEF is inscribed in circle A
The completed statement is presented as follows;
Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementaryThe correct option is therefore;
inscribed angles; substitution property of equalityInscribed angles are angles formed by the intersection of two chords of
a circle.
The substitution property of equality states that variables that are
equal can be substituted by each other in any equation with both sides
of the the equation remaining equal.
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A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?
The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
Here,
To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.
When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.
This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.
Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.
At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.
So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
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1. The cost to rent a movie is $3 for 1 day,
$4 for 2 days, and $5 for 3 days. Describe
the relationship between the cost and the
number of days.
2. Kenji plants 8 seeds in 1 row of his garden,
16 seeds in 2 rows, and 24 seeds in 3 rows.
Describe the relationship between the
number of rows and the number of seeds.
Answer:
i dont really know
Step-by-step explanation:
The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.
8 x 2 = 16 8 x 3 = 24.
A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Answer:
The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
Step-by-step explanation:
The two-point form for the equation of straight line is:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
The two points provided are:
A = (5, 3)
B = (12, 7)
Compute the equation of the trend line as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]
Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
The correct option is (D).
Answer:
D
Step-by-step explanation:
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Ivas house is safe if the tree’s height is less than the distance from the house.
The height of the tree is ____ 50 feet, so ivas house is ________
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
slove the x in the digram below explain
Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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Sara is a drummer in her school’s marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylinder model with a scale of 1:4, Sara measures the radius and height of a snare drum and multiples each dimensions by 1/2, which statement is true?
A. a cylinder with Sara’s dimensions will be geometrically similar, and scale factor will be 1:4
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
C. a cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8
D. a cylinder with sara’s dimensions will not be geometrically similar
The ratio 1:4 would be the same as if it was written as 1/4.
Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2
The answer is:
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?
Answer:
254.34 m^2
Step-by-step explanation:
To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.
We know that the area would be determined by:
A = pi * r ^ 2
the radius is half the diameter:
r = d / 2 = 18/2
r = 9
the radius equals 9 feet, replacing:
A = 3.14 * 9 ^ 2
A = 254.34
Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built
How many points of intersection are on the graph?
y=x2+3x-7
y - X=9
The linear-quadratic system has (select) points of intersection.
Answer:
2 and 1
Step-by-step explanation:
[tex]y = {x}^{2} + 3x - 7 \: will \: have \: two \: points \: of \: \\intersection \\ \\ y - x = 9 \: will \: have \:only \: one\: point \: of \:\\ intersection[/tex]
factor the binomials using gcf 16p + 4
What are our “cheat words” for finding slope?
Answer: y-intercept
Step-by-step explanation:
Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
Zero is___ a divisor always sometimes never
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?
Answer:
Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.
A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)
Step-by-step explanation:
Hope this helps. Stay healthy. No corona. Take Care
At the agre of 28 he had invested A=$2444.18.
The doubling time in years is 72/interest rate in per cent.
72/6 is 12 so it doubles every 12 years,
So, in 36 years it will double 3 times.
What is the formula for the investment?The formula of investment is
[tex]A=P(1+r)^{nt}[/tex]
[tex]A=300(1+.06)^{36}[/tex]
Without rounding, We get,
A=$2444.18.
That is doubling 3 times or increasing 8 fold.
Therefore at the age of 28 he had invested A=$2444.18.
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a man is standing on top of a cliff, 80 high, the angle of depression to a boat is 60° . calculate the distance of the boat from the base of the cliff.
Answer:
20 :3
Step-by-step explanation:
Da distance is 20
80 - 60 = 20 BOOM PEEPS
Pleaaase help me out here im being timed!! Will mark brainliest
Really appreciate it if u did thank u.
I dont get how to do thiss!
Answer:
62.4
Step-by-step explanation:
Volume=L*w*h/3
V=5.2*4*9=187.2
187.2/3-62.4
Answer:
The volume of pyramid is
V = Base area x Height x 1/3
= (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)
Hope this helps!
:)
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg
rolls, or French fries. He uses a computer program to randomly select three dishes for Monday's lunch.
What is the theoretical probability that applesauce and broccoli will both be offered on Monday?
10%
20%
50%
80%
Answer:
B: 20%
Step-by-step explanation:
The theoretical probability that the applesauce and broccoli dishes will both be offered on Monday is given by P ( A ) = 20 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the theoretical probability that the applesauce and broccoli will both be offered on Monday be P ( A )
Now , the equation is
The total number of dishes = 6 dishes
The combination of selecting 3 dishes out of 6 is given by
⁶C₃ = 20 ways
Now , the combination of selecting 2 dishes on Monday = 4 ways
So , P ( A ) = 4 / 20
P ( A ) = 1/5 = 0.20
Therefore , the applesauce and broccoli will both be offered on Monday is given by 20 %
Hence , the probability is 20 %
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Needs answered ASAP
What is the volume of the triangular prism below?
Answer:
172.5 inches cubed
Step-by-step explanation:
Find the area of this circle. Use 3.14 for piπ.
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2What is a intersection
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!