Answer:
a = 45°
Step-by-step explanation:
In triangle PSR
PS = RS (Given)
angle SPR = angle SRP (isosceles triangle property)
Let angles SPR and SRP be x
Therefore, 90° + x + x = 180° (angle property)
=> 90° + 2x = 180°
=> 2x = 180° - 90° = 90°
=> 2x = 90°
=> x = 90° ÷ 2 = 45°
=> x = 45°
Hope it helps:)
if you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose
Answer:
300 ft^2
Step-by-step explanation:
Multiply 30 by 10
The largest possible area that we can enclose in a form of a rectangle with a perimeter of 80 ft is 399 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, I have 80 feet of fencing.
Assuming the length of the wall to be 'l' and the width of the wall to be 'w'.
∴ 2(l + b) = 80.
l + b = 40.
So, the sum of length and width is 40, now l + b can be 20 + 20 but that would be a square and give us maximum area but we need a rectangle.
We know the product of the sum of two numbers is maximum when the difference between them is minimum.
∴ The maximum rectangular area we can enclose is when the length is 21 and the width is 19.
Area = 21×19 sq feet.
= 399 sq feet.
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Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
Answer:
8p -12Step-by-step explanation:
Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )
4(p + 3) +4(p - 6) =
4p + 12 + 4p - 24 =
8p -12
Which expression can be placed on the right side of the equals sign to form an equation? 6+24= 7+3⋅5 4⋅103+96 3⋅10+2 7²
hurry please im timed whoever gets the correct answer ill give brainliest
Answer:
the answer is 7 + 3 . 5
Step-by-step explanation:
i think i did this problem wrong can someone help
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
help please its 100 points if u get this right! ty have a nice day !
Answer:
6 mm²
Step-by-step explanation:
1/2 x 3 x 4 = Area of triangle
=> 2 x 3 = Area of triangle
=> 6 mm² = Area of triangle.
Hoped this helped.
Answer:
It's 15
Step-by-step explanation:
2.) Functions or Not a Function? Explain?
Answer:
answer
Step-by-step explanation:
Not a function.
When x repeats, it is automatically not a function. If y repeats, it is still a function.
solve pls brainliest
Answer:
0.92 can be written as a fraction, because it is a terminating decimal. ( See the following. )
[tex] \frac{23}{25} [/tex]
0.777... can't be wrtten as a fraction, because it is a repeating decimal.
0.444... can't be written as a fraction, because it is a repeating fraction.
0.5813.. can't be written as a fraction, because
it is a decimal that neither terminates nor repeats.
For example : Root numbers don't terminates or repeats.
[tex] \sqrt{ 2} = 1.41421...[/tex]
I hope it helps.
A baseball tournament begins with 128 teams. After each round of games, only half of the teams are left. How many teams will be left after three rounds of games?
Answer:
End of round 1:
128 ÷ 2 = 64
End of round 2:
64 ÷ 2 = 32
End of round 3:
32 ÷ 2 = 16
Step-by-step explanation:
Answer: 16
Step-by-step explanation: i think :)
Help me with this question
Answer:
Is it for a test
Step-by-step explanation:
6x + 19y = –10 in slope intercept form
Answer:
y = (-6/19)x - 10/19
Step-by-step explanation:
Solving 6x + 19y = –10 for y, we get 19y = -6x - 10, or y = (-6/19)x - 10/19.
This is in slope-intercept form.
Help please ASAP !
Jordan’s family exchanged 250 dollars for 5000 pesos.
Jordan bought a sweater for 550 pesos.
How much dollars is it for the cost of one peso
The number of dollars for one peso is 20 dollars.
Exchange rate is the rate at which one currency is exchanged for another currency.
In order to determine how many pesos can be exchanged for a dollar, the value of pesos would be divided by the amount of dollars exchanged.
Exchange rate = 5000 / 250 = 20 dollars
This means that 1 peso would be exchanged for 20 dollars.
A similar question was answered here: https://brainly.com/question/18236223
IS the square root of 16 rational or irrational and why?
Answer: It is rational because the square root of 16 is 4 which rational.
Would appreciate brainly <3
Answer:
Rational
Step-by-step explanation:
Because square root of 16 is a whole number, 4.
Order from least to greatest.
595.05, 595.50, 595.005
Answer
595.005, 595.05,595.50 that's from least to greatest. please let me have brainliest
Step-by-step explanation:
595.005 , 595.50 595.05
Can someone help me with this I’m confused?
the answer is 2/6, but you can reduce it by 1/2 which is 1/3
lhaila and her friends organize an overnight swimming pool get together the total amount of Php 24 000 wa allotted for the resort reservation and car rental which would be divided in proportion to the number of attendees laila noted some possible amount of contribution in proportion into the number of attendees
Using the concept of variation, there is an inverse relationship between the number of attendees and the contribution made by each attendee.
Since the amount of chocolate decreases as the number of attendees increase;
We use inverse variation to model the scenario :
y = k/x ; k = constant of proportionalityTaking any pair of points :
3000 = k/8
k = 3000 × 8
k = 24000
Hence, the constant of variation is 24000The variation expression is y = 24000/x This means that the total cost of organising the gettogether is to be shared equally among the attendeesTherefore, the variation statement is "the amount paid per attendee is inversely proportional to the number of people in attendance.
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PLEASEEEE HELPOOOOOOO
Answer:
The answer would be the purple line
and if I am wrong I think it is the red line
Step-by-step explanation:
Because our slope is -2 and the point is (-1,2)
the equation of the graphed line would be [tex]y = -2x[/tex] which is a linear equation
and the formula for the linear equation is [tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept and because we don't have a y-intercept the equation will look like y=-2x
Davina received 50 votes, Binh received 40 votes. What is the ratio of Binh's votes to Davina's votes in simples form?
Answer:
The answer is 4 hope this helps
solve using substitution
Answer:
I would love to help but I can't I'm sorry. but I love your handwriting it's so neat
What are the coefficient terms and Constants of 10x + 5 + 3x + 1
Answer:
The Coefficients in this expression are 10 and 3, while the constants are 5 and 1.
Step-by-step explanation:
Coefficients = The number that is in front of the variable.
Constant = Any number without a variable.
(Variables are the letters that you may find in an equation or function.)
Hope this helps you :)
Answer:
The coefficient are 10 and 3
The constants are 5 and 1
Step-by-step explanation:
A coefficient is the number in front of any known term.
A constant is a number by itself.
So the coefficient are 10 and 3
The constants are 5 and 1
BRAINLIEST
I could really use your help
Answer:
12 : 126
Step-by-step explanation:
Dc=28 there for the angle is 28
Step-by-step explanation:
the KL angle is 72
I need help with this prom now please and thank youl
Answer:
cannot
not constant
Step-by-step explanation:
1st rate of change is 5 - (-1) / 4 - 2 = 6 / 2 = 3
2nd rate of change is 15 - 5 / 6 - 4 = 10 / 2 = 5
3rd rate is 29 - 15 / 8 - 6 = 14 / 2 = 7
cannot be modeled into a linear equation
rate of change is not constant
A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?
Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6
Answer:
Ernest is six (B)
Step-by-step explanation:
e + 3e = 24
4e=24
[tex]\frac{4e}{4} =\frac{24}{4}[/tex]
e= 6
whats the answer????
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope (and always the factor of x). it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
b is the y-intercept, the y value of the point, where the line crosses the y-axis (in other words : the y value when x = 0).
so, look at the chart. where do we see points with integer coordinates (these are the easiest to read correctly and work with) ?
I see for example (0, -6) and (4, -7).
to go from the first to the second point :
x changes by +4 units (from 0 to 4).
y changes by -1 unit (from -6 to -7).
the slope a is therefore -1/4.
and the first point i picked gives us also automatically the y-intercept (-6).
so, the line equation is
y = (-1/4)x - 6
What is 13% of 50% of 329,500,000
Answer:
21417500
Step-by-step explanation:
Calculate 50% of the given amount then 13% of result
50% of 329500000
= [tex]\frac{50}{100}[/tex] × 329500000
= 0.5 × 329500000
= 164750000
Then
13% of 164750000
= [tex]\frac{13}{100}[/tex] × 164750000
= 0.13 × 164750000
= 21417500
GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.
Answer:
26 degrees
Step-by-step explanation:
The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.
From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.
(soh cah toa)
[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]
Now, just plug in the 2 known values and solve for the unknown:
[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]
The angle is 26 degrees, and you can check that by doing it in reverse:
[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,10,13,...
Find the 33rd term.
The 33rd term of the arithmetic sequence, 7,10,13.... is: 103
Recall:
An arithmetic sequence has a common difference, d, which is the difference between consecutive terms.nth term of an arithmetic sequence is found using: an = a + (n - 1)d, where, a is the first term and d is the common difference.The sequence, 7,10,13,... is an arithmetic sequence because:
13 - 10 = 10 - 7 = 3
Therefore, to find the 33rd term, substitute a = 7, n = 33, and d = 3 into an = a + (n - 1)d.
Thus:[tex]a_{33[/tex] = 7 + (33 - 1)3
[tex]a_{33[/tex] = 7 + (32)3
[tex]a_{33[/tex] = 103.
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pls help me with math no links pls thank you will mark you brainliest
18 points
Answer:
None of those are the correct answer. The answer is 10.3625
Step-by-step explanation:
So, yes there is a 3625 but it is only in the decimal places such as the tenths, the hundreths and the thousandths.
2. Select all of the trips that would take 4 hours. a. Drive 40 miles per hour between Gotham City and Smallville, which are 160 miles apart. Take a plane going 900 kilometers per hour from Town A to Town Z. which are 3,600 kilometers apart. c Walk 3.2 miles per hour to the grocery store, which is 8 miles away.
Answer:
i think the answer is 50 if not im sorry if there is another go for that one.
Step-by-step explanation: