Answer:
b
Step-by-step explanation:
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
The solution to the system of equations is (-2, 4).
The correct option is A.
We have,
y= 4
and, y= 3 - 1/2 x
To find the solution of Equation put y= 4 in equation 2 we get
4 = 3 - 1/2 x
4 - 3 = -1/2 x
1 = -1/2 x
x = -2
Thus, (-2, 4) is solution of Equation.
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A point on the top of the Leaning Tower of Pisa is shifted about 13.5 ft horizontally compared to the tower's base. To the nearest degree, how many degrees does the tower tilt from vertical?
Without the exact height of the Leaning Tower of Pisa, we cannot find the specific degree of tilt. However, given the height is approximately 183.27 ft, we can use the tangent function to roughly find that the tilt is near 4.22 degrees.
Explanation:The question involves the concept of trigonometry, specifically the tangent function, to calculate the angle of tilt of the Leaning Tower of Pisa. Assuming the tower forms a right triangle with the ground, we can utilize tangent, which is the ratio of the opposite side (the horizontal shift) to the adjacent side (the height of the tower) to determine the angle of tilt. Thus, the angle of tilt θ is calculated as θ = tan⁻¹(13.5/height). Unfortunately, without the exact height of the tower, we cannot give a specific degree of tilt.
However, the actual height of the tower is roughly 183.27 ft. Substituting that value into the equation gives θ = tan⁻¹(13.5/183.27), which approximates to around 4.22 degrees when calculated.
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Using trigonometry and taking into account the horizontal shift and height of the Leaning Tower of Pisa, we found that it tilts around 4 degrees from vertical. The procedure entails determining the tangent of the tilt angle and using the arctan function to calculate the angle in degrees.
The problem involves finding the tilt angle of the Leaning Tower of Pisa given its horizontal displacement. We will consider the height of the tower, which is approximately 55 meters (about 180.45 feet).
We can use trigonometry, specifically the tangent function, tan(θ) = opposite/adjacent, to find the angle of tilt. Here, the 'opposite' side is the horizontal shift (13.5 feet) and the 'adjacent' side is the height of the tower (180.45 feet).
Identify the opposite and adjacent sides:
Horizontal shift (opposite) = 13.5 feetHeight of the tower (adjacent) = 180.45 feetUse the tan function to find the angle:
tan(θ) = opposite / adjacent = 13.5 / 180.45Calculate the tangent value:
tan(θ) ≈ 0.0748Find the angle θ using the arctan function:
θ = arctan(0.0748) ≈ 4.28 degreesRound to the nearest degree:
θ ≈ 4 degreesTherefore, the Leaning Tower of Pisa tilts approximately 4 degrees from vertical.
Will give brinliest to whoever gives a step by step
Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?
5y = 2
5y = 10
11y = 2
11y = 10
Answer:
5y = 2
Step-by-step explanation:
To solve this equation, you have to simplify both sides of the equation, and arrange the terms so that all the values with a variable are on one side, and all the values without a variable are on the other side:
8y + 4 = 6 + 2y + 1y
8y + 4 = 6 + 3y
8y - 3y = 6 - 4
5y = 2
Which function is graphed below?
A: y=1/2sin(x)-2
B: y=2sin(x)-1/2
C: y=1/2cos(x)-2
D: y=2cos(x)-1/2
Answer:
C y=1/2cos(x)-2
I'm not sure if it is right
My head hurts so its hard for me to concentrate
what times 1/2 equals -7/3
Answer:
-14/3
If that isn't right then sorry
GIVING BRAINLIEST PLEASE ANSWERR ASK ME A QUESTION AB THE PROBLEM IF YOU NEED TO!!! Tomo is making brownies he has 4/3 cups of sugar. He needs 1/3 cup of sugar to make one whole batch of brownies. Tomo can make _____ one whole batch of brownies. Tomo can make exactly _____ batch(es) of brownies with the sugar he has.
Answer:
Tomo can make 4 batches of brownies.
Step-by-step explanation:
The way I did it is I subtract and counted how many times I subtracted until I got to zero. Like so: 4/3 - 1/3 = 3/3. 3/3 - 1/3 = 2/3. 2/3 - 1/3 = 1/3. 1/3 - 1/3 = 0.
Count it, and it equals four.
I know there is other ways to find the answer, but this is just how I did it.
I hope this helps!
Answer:
Tomo can make more than one whole brownie
4 batches of brownies ^^
Step-by-step explanation:
Which expressions can be used to compute the approximate area of triangle xyz? check all that appy
Answer:
The answer is 1st point, 1/2×22.0×23.1
Step-by-step explanation:
You can let XY be the base and XZ be the height of the triangle. Then, by using the formula of the area of triangle, A=1/2×base×height to find the expression.
A game room has a floor that is 120 feet by 75 feet. A scale drawing of the floor on grid paper uses a scale of 1 cm: 5 feet.
What are the dimensions of the scale drawing?
Answer:
24cm x 15cm
Step-by-step explanation:
120/5 = 24 cm
as 24 cm x 5 = 120 feet.
We check 75 feet
75/5 = 15 cm
as 15 cm x 5 = 75 feet
So the answer is 24cm x 15cm
Find the area of each regular polygon. Round to the nearest tenth. Please help I will make brainliest
Answer:
about 317
Step-by-step explanation:
You can break up the pentagon into 5 isoceles triangles
with length of 20√3/3 for the legs. Using the law of Sines are formula, we can see the area of one triangle is the leg * leg * sin(joining angle) /2.
The angle measure between it is 360/5 = 72 degrees.
So we plug it in and we get 317.01 ish.
I hope that helped and i need a brainly mark please :)
The Area of Pentagon is 363.43 mm².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have, Apothem= 10mm
So, Perimeter of Pentagon
= 10 x 7.267
= 72.67 mm
Now, side of pentagon = 72.67/ 5= 14.534 mm
So, Area of Pentagon
= 1/4 √5(5+2√5) a²
= 1/4 √5(5+2√5) (14.534)²
= 363.43 mm²
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please solve for x
solve 2/3x - 1/5 > 1
Answer:
x > 9/5
There you go
Answer:
x>9/5
Step-by-step explanation:
Enter the trigonometric equation you would use to solve for y in the following right triangle. Do not solve the equation.
Answer:
cos^-1(12/13) = x
Step-by-step explanation:
auxhsjzjdjsjsskksnsis
You roll a number cube 20 times. The number 4 is ro
probability of rolling a 4?
O 40%
O 25%
O 20%
0 17%
Triangle ABC is rotated clockwise to create triangle A'B'C'. What is the angle of rotation?
Now
BA 1
5
4 3
2
1
1 2
3
4
5
Answer: 90 degrees
Step-by-step explanation:
The angle of rotation is 90° clockwise rotation
How to determine the angle of rotation?
The coordinates are given as:
A(-2, -2) to A'(-2, 2)
Remove the points
(-2, -2) to (-2, 2)
Replace the coordinates with x and y
(x, y) to (y, -x)
The above represents a 90° clockwise rotation
Hence, the angle of rotation is 90° clockwise rotation
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What is the simplified form of the following expression?
4x
5
34x
5
3/20
5
3 /100%
5
3/100
125
3^√100x/5
If you want to make math problems I recommend the Photomath app.
A lawn darts team has choice of hitting a short field bonus throw or long zone bonus.
1 point is for the short field hit and getting the ball in the long zone is worth 2 points.
The coach tracked the statistics of using attempt strategies.
Short Field (1 point) = 85.8% Long Field (2 points) = 64.2%
If the team gets 10 chances to score this season, which strategy would result in statistically the most points?
Question 1 options:
Short Field
Long Field
Answer: i believe it is short field
Answer:
B. Long Field
Step-by-step explanation:
Find the area of this circle???
Answer:
50.3? im not exactly sure if this is right
Step-by-step explanation:
Area of circle
=πr²
=22. ×4×4
7
=22×16
7
= 352
7
=59.3
A survey of two communities asked residents which candidate they supported for a local election. The survey data are shown in the relative frequency table.
What percentage of the Mountain View residents polled supported Olunloyo?
A. 18%
B. 30%
C. 37.5%
D. About 47%
Answer:
the answer is D
Step-by-step explanation:
i believe it because of the total
The percentage of Mountain View residents polled who supported Olunloyo is 18%.
To find the percentage of Mountain View residents who supported Olunloyo in the survey, we can use the relative frequency table provided. The relative frequency for Olunloyo in Mountain View is 0.18.
To calculate this as a percentage:
Percentage= 0.18*100%= 18%
Therefore, the percentage of Mountain View residents polled who supported Olunloyo is 18%.
So, the correct answer to the question is:
A. 18%.
In a game, if you roll a 2 or a 3 on a 6-sided number cube, you lose a turn. NOTE: This is just using one number cube. a. What is the probability that you roll a 2 or 3, P (2 or 3)? Explain your reasoning. (2 points possible) b. What is the probability that you don’t roll a 2 or a 3, P (NOT a 2 or 3)? Explain your reasoning.
Answer:
(a)1/3
(b)2/3
Step-by-step explanation:
This is a 6-sided number cube, therefore total possible outcomes, n(S)=6
(a)Probability of rolling a 2 OR 3 =P(2)+P(3)
[tex]=\dfrac{1}{6} +\dfrac{1}{6} =\dfrac{2}{6}\\= \dfrac{1}{3}[/tex]
(b)Probability of not rolling a 2 OR 3
In probability, the sum of the probability of an event and its complement is always 1.
Therefore:
P(Rolling a 2 or 3)+P(Not rolling a 2 or 3)=1
From part (a) above:
Probability of rolling a 2 OR 3=[tex]\dfrac{1}{3}[/tex]
Therefore:
[tex]\dfrac{1}{3}+$P(Not rolling a 2 or 3)=1\\P(Not rolling a 2 or 3)=1-\dfrac{1}{3}=\dfrac{2}{3}[/tex]
Brian invests £1300 into his bank account.
He receives 10% per year simple interest.
How much will Brian have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
£1690
Step-by-step explanation:
Amount invested by Brian = £1300
rate of simple interest = 10%
To find money Brian will have after three years
He will have amount invested in bank and interest earned in three years from that amount.
Simple interest for any principal amount p is given by
SI = P*R * T /100
where SI is simple interest earned
T is time period for which simple interest is earned
R is rate of interest
Substituting value of P , R and T we have
SI = 1300*10* 3 /100 = 390
Therefor interest earned will be £390
Total money with Brian after three years = principal amount invested + interest earned in 3 years
= £1300 + £390 = £1690
Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the
shelter
Weights of Kittens in Shelter
Pounds
What is the total weight of the kittens in the shelter? Enter your answer in the box
pounds
Answer:
5 pounds
Step-by-step explanation:
The line plot shows that we have 3 kittens with 1/2 pounds, 2 kittens with 1 pound and 1 kitten with 1 1/2 pound.
So, to find the total weight of the kittens in the shelter, we can multiply the number of kittens by their weights, and then sum then all:
Total weight = 3 * (1/2) + 2 * 1 + 1 * (1 + 1/2)
Total weight = 3/2 + 2 + 3/2 = (3 + 4 + 3)/2 = 10/2 = 5 pounds
What lines are parallel to the line y= 6x + 8
Answer:
y = 6x + 24
Step-by-step explanation:
Remember, any line can be parallel to y= 6x + 8 as long as it has the same slope (m, or in this case 6), and a different b (in this case 8).
The equation below describes a parabola. If a is negative, which way does the
parabola open?
y= ax?
A. Right
B. Left
C. Up
D. Down
The parabola y= ax² opens to the left.
What is Parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
We have the parabolic equation: y= ax²
1. If 'a' is positive, the parabola will open to the right or upwards.
2. If "a" is negative, the parabola opens to the left or downward.
3. The parabola expands either upwards or downwards if x is squared.
4. The parabola opens to the left or right if y is squared.
Now, as we are given the parabola having x² and 'a' is negative.
Thus, from the points 4 and 2, we get,
The given parabola opens to the left.
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Trina and Seth walk 3 miles south and 5 miles east to get from their canoe to their tent. If a walkway existed between the canoe and tent, how far would they then haveto walk? Round to the nearest mile. (PLEASE SHOW WORK!)
Answer:
A. 6
Step-by-step explanation:
[tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]
[tex]3^{2}[/tex]+[tex]5^{2}[/tex]=[tex]c^{2}[/tex]
[tex]3^{2}[/tex]=9
[tex]5^{2}[/tex]=25
25+9=34
[tex]\sqrt{34}[/tex]= 5.83
Round it and its 6
Find the area of the parallelogram YORKYORKY, O, R, K plotted below. Round your final answer to the nearest hundredth.
Answer:
Area of a parallelogram = base × height
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal to each other. Opposite angles are equal . The picture below is a parallelogram. Notice that angle D is equals to angle B and angle A is equals to angle C.
The height is gotten by drawing a straight line from a point to form a right angle triangle. If the height is unknown you can use Pythagoras theorem to get the height when the base of the right angle triangle and sides of the parallelogram is known.
If the base of the parallelogram is 10 . 25 cm (side AB and DC ) and the height is 4.28 cm , the
area = base × height
area = 10.25 × 4.28 = 43.87 cm²
The value is already in it nearest hundredth.
What are the solutions of x2 -7x+13 = 0 ?
Answer:
x =(7-√-3)/2=(7-i√ 3 )/2= 3.5000-0.8660i
x =(7+√-3)/2=(7+i√ 3 )/2= 3.5000+0.8660i
Step-by-step explanation:
Step by step solution :
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring x2-7x+13
The first term is, x2 its coefficient is 1 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is +13
Step-1 : Multiply the coefficient of the first term by the constant 1 • 13 = 13
Step-2 : Find two factors of 13 whose sum equals the coefficient of the middle term, which is -7 .
-13 + -1 = -14
-1 + -13 = -14
1 + 13 = 14
13 + 1 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1 :
x2 - 7x + 13 = 0
This may be a lot sorry it is confusing if it is wrong i'm so sorry don't come at me wrong please!
I NEED HELP PLEASE!!!!!!!!!!!
Answer:
i would love to help but there is no question :(
Step-by-step explanation:
Answer:
I'm sorry, I'd love to help but there isn't a question. Have you tried putting the question again?
The tape diagram represents an equation.
8
q
12
Find the value of q that makes the equation true.
Answer:
q = 4
Step-by-step explanation:
this is your equation
8 + q = 12
rearrange to find q
q = 12 - 8
q = 4
Answer:
4
Step-by-step explanation:
Describe the graph of a quadratic equation that has exactly one solution. How can you tell there is only one solution?
Answer:
For a quadratic equation, a graph that has one solution will only intersect the x-axis ONE time. This is seen when the vertex of the parabola rests on the x axis.
What is the value of x in the equation below? –13 –9 3 7
Answer:
7
Step-by-step explanation:
It just is
Which of the following shows extraneous solutions to the logarithmic equation? (See picture)
Answer:
Option 3
Step-by-step explanation:
log4(x) + log4(x - 3) = log4(-7x + 21)
log4(x² - 3x) = log4(-7x + 21)
x² - 3x = -7x + 21
x² + 4x - 21 = 0
x² + 7x - 3x - 21 = 0
x(x + 7) - 3(x + 7) =0
(x + 7)(x - 3) = 0
x = -7, 3
-7 and 3, both are e extraneous solutions because logs of non-positive numbers don't exist
At x = 3,
-7x + 21 = 0
R and _T are complementary. Ifm ZR= 3x and m _T=2x, what is the value of x?Type a numerical answer in the
space provided. Do not type spaces in your answer
Answer:
Step-by-step explanation:
∠ R + ∠T = 90 {R & T are complementary}
3x + 2x = 90
5x = 90
x = 90/5
x = 18