Answer:
167 feet
Step-by-step explanation:
Please see the attached image.
(90-42)°=48°
The tangent of an angle is the opposite side relative to that angle divided by the adjacent side.
tan(48°)=x/150
x=tan(48°)*150
x≈167
Answer: 167 feet
The list below shows the shoe size for eight students in Mr.perdio’s class 13,12,9.5, 10.5,12,11,12,8
The area of a square garden is 900 square feet. What is the length of one side of the garden? A 450 ft C 225 ft B 300 ft D 30 ft
Answer:
[tex]\boxed {\boxed {\sf D. \ 30 \ feet}}[/tex]
Step-by-step explanation:
The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.
[tex]a=s*s[/tex]
[tex]a=s^2[/tex]
We know the square garden has an area of 900 square feet. We can substitute this value in for a.
[tex]900 \ ft^2=s^2[/tex]
Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.
[tex]\sqrt {900 \ ft^2}= \sqrt{s^2}[/tex]
[tex]\sqrt {900 \ ft^2}=s \\[/tex]
[tex]30 \ ft=s[/tex]
One side of the garden is equal to 30 feet and choice D is correct.
Step-by-step explanation:
Area of square garden=a^2
ATQ
➝a^2=900 sq.feet
➝a=√900
➝a=30feets
Correct option-DA pair of shoes is on sale for 20% off they now cost 50$
The original price of the pair of shoes is $62.5.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = 100%
Offer price = $50
Offer = 20%
Now,
80% = 50
Multiply 100/80 on both sides.
100% = 100/80 x 50
100% = $62.5
Thus,
The original price is $62.5.
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HELP BRAINLIEST PLEASE!!!!!!!!
Answer:
12/25
Step-by-step explanation:
there are 24 'T's out of 50
Need some help with these trigonometry questions
Answer: 11, 23, 166
Step-by-step explanation:
Hiya! From the drawings, I'm assuming all of the triangles are right-angled triangles. If they aren't though, tell me and I'll tell you how to solve them.
Anyways, assuming they are right angled-triangles, you can use Pythagoras' Theorem (aka a² + b² = c²)
c is the hypotenuse or the side opposite the right angle.
a and b are just the other two sides (doesn't really matter which is which)
Question 7:
c² = a² + b²
12² = a² + 5²
144 = a² + 25
144 - 25 = a²
119 = a²
a = 10.908712114635714411502154487373
(To the nearest whole number: 11)
Question 8:
c² = a² + b²
24² = 7² + b²
576 = 49 + b²
576 - 49 = b²
527 = b²
b = 22.956480566497992703585747092065
(To the nearest whole number: 23)
Question 9:
c² = a² + b²
c² = 90² + 140²
c² = 8,100 + 19,600
c² = 27,700
c = 166.43316977093238068928214785346
(To the nearest whole number: 166)
Hoped this helped! Tell me if there's something you don't understand. :)
Help Me Out ASAP please
On solving the provided question, we can say that - here in this inequality 17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
17[tex]\leq[/tex]2x - 3[tex]\leq[/tex]25
[tex]20\leq 2x\leq 28\\10\leq x\leq 14[/tex]
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Solve this problem
Step by step
Answer:
x = 11.2
Step-by-step explanation:
We know that the second triangle is just a smaller scale of the bigger triangle.
So, first, we take
28 divided by 25 = 1.12
Then we take
10 times 1.12 = 11.2
So, x = 11.2
ASAP help me out plz
Answer:
109.30
Step-by-step explanation:
At a banquet hall there are 25 tables that seat 4 people and 30 tables that seat 6 people. There are no other tables in the banquet hall. What is the ratio of the number of tables that seat 4 people to the total number of tables in the banquet hall?
Answer:
1:11
Step-by-step explanation:
We know
There are 25 tables that seat 4 people
First, we find the total number of tables by taking
25 + 30 = 55 tables
Then we find the ratio of tables that seat 4 people to the total number of tables by
5 / 55 = 1/11 = 1:11
So, the ratio is 1:11
look at picture please
The equivalent trigonometric identity to cot²θ + 1 is cot²θsec²θ
What are trigonometric identities?Trigonometric identities are equations which contain the trigonometric ratios.
How to show the equivalent identity of cot²θ + 1?Since we have the trigonometric identity cot²θ + 1,we need to find its equivalent expression.
So, we proceed as follows
Since cot²θ + 1 = 1/tan²θ + 1 (since cot²θ = 1/tan²θ)
Now taking the L.C.M, we have that
1/tan²θ + 1 = (1 + tan²θ)/tan²θ
We know that the trigonometric identity 1 + tan²θ = sec²θ
So, substituting this into the equation, we have that
(1 + tan²θ)/tan²θ = sec²θ/tan²θ
Since cot²θ = 1/tan²θ, substituting the values of the variables into the equation, we have that
sec²θ/tan²θ = cot²θsec²θ
So, cot²θ + 1 = cot²θsec²θ
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If the following system has a solution, what is the
x − coordinate of the solution?
4x + 8y = 60
x + 8y = 30
a. 6
b. 10
c. 618
d. 730
e. the system has no solution
What is the surface area of the pyramid?
I need help with this, please
ANSWER PLEASE ILL GIVE BRAINLEST
Answer:
what is your question? you have not attached anything.
Step-by-step explanation:
Multiply -3x(4x - 5)
Answer:
-12x^2+15x
Step-by-step explanation:
-3x(4x-5)
Distributive property:
-3x*4x-(-3x)*5
-3*4x^2+3*5x
Simplify:
-12x^2+15x
The following table shows the number of raisins in a scoop of different brands of raisin bran cereal.
Brand
Generic
Clayton's: Good2go
Right from Nature
Morning meal
Mmmm
Number of raisins
5
9
5
5
7
11
Find the mean number of raisins.
Using it's concept, it is found that the mean number of raisins is of 7.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, there are 6 observations: 5, 9, 5, 5, 7, 11.
Hence, the mean is:
[tex]E(X) = \frac{5 + 9 + 5 + 5 + 7 + 11}{6} = 7[/tex]
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Answer:
its 2 raisins i got it right.
Step-by-step explanation:
Find the radius of a circle that has a sector area of 165.6 cm2 and an angle measure of 129*. Round your answer to the nearest tenth.
To find the radius of a circle given the area of a sector and the measure of the central angle of the sector, we can use the formula:
radius = sector area / (central angle measure / 360)
In this case, the sector area is 165.6 cm2 and the central angle measure is 129*. Plugging these values into the formula gives us:
radius = 165.6 / (129 / 360)
= 165.6 / (129 / 360)
= 165.6 / (0.3583)
= 462.9 cm
Rounding this value to the nearest tenth gives us a radius of approximately 463 cm.
A 20-gallon bathtub is to be filled with water that is exactly 100°F. The hot water supply is 175°F and the cold water supply is 20°F. When mixed, the temperature will be a weighted average based on the amount of each water source in the mix. How much of each should be used to fill the tub as specified?
320/31 gallons of hot water and 300/31 gallons of cold water are needed.
Here we are required to fill a 20-gallon bathtub and the water should be precisely 100° F.
It is given that hot water has a temperature of 175° F and cold water has a temperature of 20° F.
Let the amount of hot water used be x gallons.
Let the amount of cold water used be y gallons.
Since the bathtub has a capacity of 20 gallons,
x + y = 20 [1]
or, y = 20 - x [2]
The temperature after the water is mixed will be a weighted average of the temperature and amt of water used.
Hence we get,
(175x + 20y) / (x + y) = 100
from equation [1] we get
175x + 20y = 2000 [3]
from equations [2] and [3] we get
155x - 400 = 2000
or, x = 1600/155 = 320/31 [4]
Similarly,
y = 20 - 320/31
= 300/31
Hence 320/31 gallons of hot water and 300/31 gallons of cold water are needed.
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Which two lines have the same slope
Answer: B
Step-by-step explanation: These lines are parallel. If you count over then down from point to point, then the slope for both lines is negative since it is going down, the slop is -2/1
What is the value of W?
Answer:
Step-by-step explanation:
Let angle A = w - 15 degree , angle B = -w + 1 degree and angle X = w + 34 degrees then:
We know that the exterior angle of a triangle is equal to the sum of two interior opposite angles.
therefore, w + 34 = w - 15 + (-w +1)
w + 34 = w - 15 - w + 1
w = -15 - 34 = - 49 degrees
since angle cannot be negative
therefore w = 49 degrees
quadratic forms(will give branliest)
Answer:
i believe (-3,0)( and (7,0)
Step-by-step explanation:
7th grade math for easy points
Answer:
8
Step-by-step explanation:
8*8*8 = 512
or
8³ = 512
or
just punch it in a calculator
How to do plotting points?
Place a dot at the origin, sometimes referred to as the center of the Cartesian coordinate axis, to begin. We may then plot a point on the graph after placing the necessary points there.
An x-y (or bivariate) plot is any graph or plot with two axes.
The "x-axis" is often the horizontal axis, whereas the "y-axis" is typically the vertical axis.
However, if you have a data set with two sets of related data, you may utilize any variable for either one.
There are a few procedures you may take when plotting data on a graph to make sure you don't neglect anything:
Make sure you are working with two variables (two columns of data).
Make a decision on which variable will be represented on the x-axis and which on the y-axis.
Your plot's axes should be identified, and the scale should be chosen (if the graph is not already labeled).
Plot the first two pairs of numbers first (the top row of numbers).
Plot pairs of points repeatedly until all the points have been plotted.
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What is linear vs log?
Linear refers to a straight line when plotted on a graph, while logarithmic refers to a curve that follows the logarithmic function. Linear relationships are those where the rate of change is constant. Logarithmic relationships are those where the rate of change increases or decreases as the value of the independent variable increases.
Linear relationships are those where the rate of change is constant no matter how the independent variable changes. In this type of relationship, the y-value increases or decreases at a constant rate as the x-value increases. For example, if a graph shows a linear relationship, the data points will form a straight line when plotted on a graph. Logarithmic relationships are those where the rate of change increases or decreases as the independent variable increases. In this type of relationship, the y-value increases or decreases more quickly as the x-value increases. This can be seen when plotting the data on a graph as a curved line. An example of this type of relationship is the exponential growth of a population as the population increases.
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Hi, I need help finding an ordered pair for the equation x-5y=5?
Answer:
See below
Step-by-step explanation:
Anything that makes the equation true works. For example, you can use the x-intercept (5,0) or the y-intercept (0,-1).
gcf of 15 and 18 and -45
Answer: 3
Step-by-step explanation:
Factor of 15: ±1, ±3, ±5, ±15
Factor of 18: ±1, ±2, ±3, ±6, ±9, ±18
Factor of -45: ±1, ±3, ±5, ±9, ±45
=> GCF of 15, 18, -45 is 3
The graph shows the number of each kind of CD in Dante's music collection. What is
the probability that a randomly choosen CD will be country?
Pop
10
Types of Music CDs
Rock
6
Jazz
4
Country
12
Hip-Hop
Answer: 1/8
Step-by-step explanation: To calculate the probability, we first need to add up the total amount of CDs. 10+6+4+12 = 32. After this, we divide 4 by 32, getting 4/32 which can be simplified to 1/8
Please help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)
Answer:
107
Step-by-step explanation:
The formula for Area is Length x width. Take the first shape and multiply 7x5 which equals 35.
Then do the same thing for the second shape 8x9=72
Now add
35+72=107!! Hope this helped
How many different sandwiches can you make with 4 bread choices, 5 meat choices, 6 cheese
choices, and 2 vegetables?
Answer:
It is 240(Two hundred and forty)
Step-by-step explanation:
Multiply
Which graph represents-3x - 4y ≤ 2?
Answer:
B
Step-by-step explanation: