Answer:
Shorter side = 9 feetLonger sides = 13.5 feetStep-by-step explanation:
Let :
Shorter side = xLonger sides = x + 4.5Perimeter = 4xSolving
2(x + 4.5) + x = 4x2x + 9 + x = 4xx = 9 feetSolution
Shorter side = 9 feetLonger sides = 13.5 feetAnswer:
short side: 9 ftlonger sides: 13.5 ftStep-by-step explanation:
The given information lets us write two equations relating the side lengths.
__
setupLet L and S represent the lengths of the longer and shorter sides. We are told ...
S + L + L = 4S . . . . . the perimeter is 4 times the short side length
L = 4.5 +S
__
solutionUsing the second equation to substitute for L in the first equation, we have ...
S +2(4.5 +S) = 4S
9 = S . . . . . . . . . . . . . simplify, subtract 3S
L = 4.5 +S = 13.5
The shortest side is 9 ft; the longer sides are 13.5 ft.
__
Additional comment
The perimeter is 36 ft.
Find the value of 11 +22+33 + ... + 1100.
Answer:
sum of terms: 55550
Explanation:
[tex]\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})[/tex]
Here the number of terms:
1100 ÷ 11 = 100
Using the Formula:
[tex]\sf \dfrac{100}{2} (11+1100)[/tex]
[tex]\sf 55550[/tex]
Which of the following is true of the interquartile range on a box plot?
Can someone help me with this one math problem?
Convert 32.8% to a fraction in simplest form and a decimal.
Answer:
Step-by-step explanation:
32.8 = 164/5
= 32/4/5
as a fraction
To convert the decimal 32.8 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
32.8 = 32.8/1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
32.8
1
= (32.8 × 10)
(1 × 10)
= 328/10
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(328,10) = 2. So,
(328÷2)
(10÷2)
= 164/5
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 328/ 10
is also equal to 32/4 /5
when expressed as a mixed number.
Which equation is equal to y = 2x + 3 ?
the options are
y + 3 = 2x
y - 3 - 2x = 0
2x + y = 3
y + 2x = -3
The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0
How to determine the equal equation?The equation is given as:
y = 2x + 3
Subtract 3 from both sides
y - 3 = 2x
Subtract 2x from both sides
y - 3 - 2x = 0
The above means that the equation y - 3 - 2x = 0 is equal to the equation y = 2x + 3
Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0
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please help i’m failing pre calc!!!
Linear function : y = x + 4
Exponential function : y = 4.5 e^(0.144 x)
Power function : y = 4.5 x^0.415
Katrina had $138.72 in her checking account. she wrote checks to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. how much does katrina have in her account now?
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
x ≈ 17.5
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )
x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )
Pls help me with them I will give brainilist
Answer:
All integers are rational numbers .
Step-by-step explanation:
please mark as branliest
This railway car is 3.2 m in diameter and 17.2 m long. Calculate its surface area.
A railway car is a cylinder.
Estimate the cost of painting the outside of the railway car, if a can of paint covers an area of 40 m2 and costs $35.
Answer:
answer is 151.3575 dollars.
The top of a glass coffee table is a circle. the circumference is 15.7 feet. what is the area of the table? helppp!!
Answer:
19.61505096...
Step-by-step explanation:
Area in a circle is pi(ratio)squared
Circumference is pi multiplied by diameter
Ratio is half of diameter
15.7 divided by pi is roughly 5 (4.997465213 to be exact)
Half of 5 is 2.5
pi(2.5)squared is 19.61505096...
The Pyramid of the Sun in Mexico is a square pyramid. The base edge is approximately 220 meters, and the height is approximately 70 meters.
What is the approximate surface area of the sides of the pyramid to the nearest thousand square meters?
The surface area of the square pyramid will be 105768.98 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.
Given that:-
The base edge is approximately 220 metersThe height is approximately 70 metersThe surface area of the pyramid will be:-
[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]
SA = 48400 + 440 √17000
SA = 48400 + 57368
SA = 105768.98 square meters
Therefore the surface area of the square pyramid will be 105768.98 square meters.
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How much money is 66 2/3% of $48.00
Answer: $32
Step-by-step explanation:
Which functions have a y-intercept that is greater than the y-intercept of the function g(x) = |x 3| 4? check three options. f(x) = –2 (x – 8)2 h(x) = –5 |x| 10 j(x) = –4(x 2)2 8
Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:
h(x) = -5|x| + 10.k(x) = 0.25(x - 4)² + 4.m(x) = 0.25|x - 8| + 6.What is the y-intercept of a function?It is the value of the function when the input is of zero, that is, f(0).
For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:
f(x) = -2(x - 8)² -> f(0) = -128.h(x) = -5|x| + 10 -> f(0) = 10 -> Greater than g(x).j(x) = -4(x + 2)² + 8 = f(0) = -8.k(x) = 0.25(x - 4)² + 4 -> f(0) = 8 -> Greater than g(x).m(x) = 0.25|x - 8| + 6 -> f(0) = 8 -> Greater than g(x).More can be learned about the y-intercept of a function at https://brainly.com/question/24737967
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please help and explain.
answer : -40/41
steps:
soh cah toa
sin is soh
meaning opposite/hypotenuse
opposite is 9 and
hypotenuse is 41
now you can treat it like a triangle and use the pythagorean theorem
a^2 + 9^2 = 41^2
a^2 + 81 = 1681
a^2 = 1600
a = 40
in soh cah toa
cos is adjacent/hypotenuse so
cos is 40/41
its in quadrant 2 so its negative
-40/41
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Write the equality in the given diagram below
Answer:
[tex] 3 < x \leqslant - 1[/tex]
Explanation:
the point on the left is closed with the line going to the right so it is greater than or equal to x
[tex] - 1 \geqslant x[/tex]
and the point on the right is open with the line going to the right so it is less than x
[tex]3 < x[/tex]
i need help with this
Write an algebraic expression for each word expression:
A number h divided by 4.2
Answer:
h ÷ 4.2
Step-by-step explanation:
In a 75-minute study period, Ling needed to finish a research paper she spent 3/5 of the time finishing her paper how much time did she have left to complete her history homework?
How do you solve for area?
Mrs. ericson is building a new balcony. what is the area of the balcony? (6 ft, 6 ft, 6 ft. 2 ft, 2 ft , 2 ft.)
Answer:
2ft 2ft
Step-by-step explanation:
2ft,2ft,2ft,2ft
graph of a function, f(x), has zeros at - 3, and 5. Which of
following is a factor of f(x)?
(2x - 3)
(2x + 3)
(3x + 2)
(x + 5)
The function is a quadratic function, and none of the given options is a factor of the graph of the function
How to determine the factor?The zeros of the function are given as:
-3 and 5
This means that:
x = -3 and x = 5
Rewrite as:
x + 3 = 0 and x - 5 = 0
Multiply both equations
(x + 3)(x -5) = 0 * 0
This gives
(x + 3)(x -5) = 0
Express as a function
f(x) = (x + 3)(x -5)
The above means that the factors of the function are (x + 3) and (x -5)
Hence, none of the given options is a factor of the graph of the function
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Please help I don’t get this:
Select the correct answer.
The weight of radioactive material, f(x),is based on the number of days the material has been exposed to the elements, X. An exponential
regression equation relative to the weight of the material is f(x) = 80.402 • 0.931^x. Based on this equation, approximately what is the weight of the radioactive material after 2 days?
OA 5
ОВ.-20
OC 28
OD. 70
Answer:
use half-life formula!
Step-by-step explanation:
for exponential word problems, lots of them use the half life formula.
hope this helps :)
Answer:
C 28
Step-by-step explanation:
:)
I need an equation for the line
Answer:
Y = -(1/3)X
Step-by-step explanation:
Extract two points
P1(6; -2) P2(-6; 2)
Now:
Y=mX+n. n=0 (interception with Y axis) exis)
Y=mX +0. m= (y2-y1) / (x2-x1)
m= (2+2) / (-6-6)
m= -(1/3)
Y=-(1/3)X
The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base and height of the tiangle?
Answer:
C
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
so, we know in our case
b(b+12) = 189 cm²
b² + 12b - 189 = 0
let's try to solve this by completing the square.
that means we try to find the expression
(b + k)² + c
that is equal to
b² + 12b - 189
(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189
so,
2k = 12
k = 6
and then
k² + c = -189
6² + c = -189
36 + c = -189
c = -225
(b + 6)² - 225 = 0
(b + 6)² = 225
b + 6 = 15
b = 9
so, the baseline b = 9 cm.
the height b+12 = 9+12 = 21 cm.
Consider this equation. cos(0)=-3/10 if 0 is an angle in quadrant ii, what is the value of tan(0)? sqrt91/10 -sqrt91/3 sqrt91/3 -sqrt91/10
The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II
How to determine the value of tan(x)?The expression is given as:
cos(x) = -3/10
Using the following trigonometry identity:
sin²(x) + cos²(x) = 1
The equation become
sin²(x) + (-3/10)² = 1
Evaluate the exponent
sin²(x) + 9/100 = 1
Subtract 9/100 from both sides
sin²(x) = 91/100
Take the square root of both sides
[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]
Sine is positive in quadrant II.
So, the tangent is calculated using:
[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]
This gives
[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]
Evaluate
[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]
Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]
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Select all right angles
Answer:
The right angles are B,D,E,and F
Please help me please help me
which term describes where the three angle bisecters of a a triangle intersect
Answer:
The incenter....
Step-by-step explanation:
The point at which all three of the angle bisectors of a triangle meet is known as the incenter
dont confuse it with the circumcenter and the centroid.
i hope this helps!!!
The side-lengths of a triangle are increased by a scale factor of 4. Predict
how this change will affect the area.
Answer:
It will become 64 times larger
Step-by-step explanation:
Use the Commutative Property of
Multiplication to write a related
number sentence.
4 X 5 = 20
Answer:
5*4= 20
Step-by-step explanation:
The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.
4*5 = 20
We can change to order and the result is still the same
5*4= 20
Answer:
so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5
Step-by-step explanation: