Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
Rotate the vector 3,-2 90 degrees clockwise about the origin.
Answer:
-2,-3
Step-by-step explanation:
Answer:
-2 -3
It worked for me on acellus
Step-by-step explanation:
write in simplest form :
36 minutes to 3/2hrs
Answer:
⅗hrs
Step-by-step explanation:
1hr =60 min
? = 36 min
cross-multiply .........
36 min × 1hr/60 min= 36min/60min × 1hr
=36/60 × 1 hr
= ⅗hrs
Select the correct answer.
Which is the correct simplified form of the expression ?
A.
B.
C.
D.
Answer:
it should be letter b sorry if its wrong
the answer should be choice B
Identify the correct explanation and the similarity statement for the similar triangles.
A: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Subt. Thm., m∠C = 30°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
B: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅ , m∠B = m∠C.
This gives m∠C = 75° by substitution.
Then, by the Δ Sum Thm., m∠A = 30°.
Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
C: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠C.
This gives m∠C = 30° by Substitution.
Then, by the Δ Subt. Thm., m∠A = 75°.
Now apply the Isosc. Δ Thm. and the Δ Subt. Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by SSS ~.
D: By the Isosc. Δ Thm., ∠B ≅ ∠C, so by the Def. of ≅, m∠B = m∠A.
This gives m∠A = 75° by Substitution.
Then, by the Δ Sum Thm., m∠C = 30°. Now apply the Isosc. Δ Thm. and the Δ Sum Thm. to ΔPQR to find that m∠P = m∠Q = 75°.
Therefore ΔABC ~ ΔPQR by AA ~.
Answer:
Option B
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠B = m∠C = 75° [Isosceles triangles]
By applying triangle sum theorem,
m∠A + m∠B + mC = 180°
m∠A + 75° + 75° = 180°
m∠A = 180° - 150°
m∠A = 30°
In triangle PQR,
m∠P = m∠Q [Isosceles triangle]
By applying triangle sum theorem,
m∠P + m∠Q + m∠R = 180°
2(m∠P) + 30° = 180°
m∠P = 75°
m∠P = m∠Q = 75°
In ΔABC and ΔRPQ,
m∠B ≅ m∠Q [Given]
m∠C ≅ m∠R [Given]
Therefore, by AA property of similarity of two triangles, both the triangles will be similar.
ΔABC ~ ΔRPQ
Option B will be the answer.
What is the circumference, in inches, of the front tire of Susan’s bike?
Answer:
The bike will travel approximately 1,272 inches or 106 feet.
Step-by-step explanation:
The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.
Hope this answer helps you :)
Have a great day
Mark brainliest
Here are the ages (in years) of 12 professors at a college.
51, 34, 56, 48, 37, 39, 59, 53, 52, 45, 3367
What is the percentage of these professors who are younger than 50?
=__%
Answer:
50%
Step-by-step explanation:
6 professors younger than 50 years = 6/12 = 50
Answer:
%50
Step-by-step explanation:
If you count the number of proffessors that are under 50, there are six. If there are 12 proffessors then it would be 1/2. One half in percentage is %50.
Pls give Brainliest!
pls for the LOVE OF GOD. i can't do graphs
Answer:
Second Option
Step-by-step explanation:
We need to graph the equation
[tex]y = \frac{2}{3} x - 1[/tex]
The -1 represent the y intercept. So our y intercept will be at (0,-1).
We then would move up 2 and right 3 units because that represent our slope. So the second option.
PLSSS HELP MEE
Equation: c = n
Is there any way for this equation to be true? How?
Step-by-step explanation:
if
c = 3 + 6 = 9
and
n = 4 + 5 = 9
then it could be true
Can someone please help me to evaluate
Answer:
1
Step-by-step explanation:
a*log(b) = log(b^a), so (1/2)*log(196)=log(14)
So 1+log(15)-log(14)=1
Determine the y-intercept of the quadratic equation Y = x^2 - 4x + 8
9514 1404 393
Answer:
(0, 8)
Step-by-step explanation:
The y-value of the y-intercept is the function value when x=0. That is the constant in the equation, since x=0 will make all of the x-terms be zero.
y-intercept = 8
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
Hai giá sách có 450 cuốn sách .Nếu chuyển 50 quyển từ giá thứ nhất sang giá thứ hai thì số sách ở giá số hai sẽ bằng 4/5 số sách ở giá thứ nhất ?Tính số sách ở mỗi giá.
Step-by-step explanation:
hơi khó hiểu thông cảm UwU
Answer the question written in the image.
Answer: 28
Step-by-step explanation:
The pattern is multiply the right and bottom, add the left
For example, 9*8+7=79
So, 24*3+x=100
72+x=100
x=28
40 POINTS- please help me
Answer:
a, c, d,
Step-by-step explanation:
I'm not sure if this is right but i think.
First you cant have exponents in a linear equation, so its not e or f. Then i just graphed the rest.
Will give brainliest need a quick answer
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
When (8x − 4) = 2x is solved, the result is:
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
1/2(8x - 4) = 2x
Step 2: Solve for x
[Distributive Property] Distribute 1/2: 4x - 2 = 2x[Subtraction Property of Equality] Subtract 2x on both sides: 2x - 2 = 0[Addition Property of Equality] Add 2 on both sides: 2x = 2[Division Property of Equality] Divide 2 on both sides: x = 1Answer:
x = 2/3
Step-by-step explanation:
(8x − 4) = 2x
8x - 4 = 2x
6x = 4
x = 2/3
A square has a perimeter of 4 cm. What is the length of each side?
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
Line segment QR is dilated to create line segment Q'R' using the dilation rule DT,1.5. Point T is the center of dilation. Line segment Q R is dilated to create line segment Q prime R prime. The length of R T is 6 and the length of R prime R is y. What is y, the distance between points R and R'?
Answer:
[tex]y= 3[/tex]
Step-by-step explanation:
Given
[tex]RT = 6[/tex]
[tex]k = 1.5[/tex] --- dilation ratio
See attachment
Required
Determine length, y
First, we calculate length R'T.
Since point T is the center of dilation, then:
[tex]R'T = k * RT[/tex]
Substitute known values
[tex]R'T = 1.5 * 6[/tex]
[tex]R'T = 9[/tex]
y is between R'T and RT;
So:
[tex]y = R'T - RT\\[/tex]
[tex]y = 9 -6[/tex]
[tex]y= 3[/tex]
Answer:
either 4 or 9
Step-by-step explanation:
determine the equation of a line that is vertical and goes through (-5,6)
Answer:
x = -5
Step-by-step explanation:
A vertical line is a line that goes up and down. It is of the form x = constant
To go through (-5,6) is has to have the value of the x coordinate
x = -5
A pizza delivery man makes $50.00 a shift. If he makes $3.00 on each delivery he makes, how much
money will he make, if he makes 22 deliveries in one shift. Create an equation to represent this
situation. Write the equation in function notation. State the ordered pair for 22 deliveries and explain
your solution.
Answer:50+(3x22)=116
Step-by-step explanation:
Does this graph represent a function? Why or why not?
A. Yes, because it passes the vertical line test.
B. No, because it is not a straight line.
C. No, because it fails the vertical line test.
D. Yes, because it has two straight lines.
Answer:
with my own opinion the answer is b
If 2^x-4 = 4^x-6 , then value of x is?
Answer: [tex]x=1[/tex]
Step-by-step explanation:
[tex]2^x-4=4^x-6[/tex] is the equation that you've given us.
Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that [tex]x=1[/tex].
We can prove that by doing the following calculations to prove that both sides are equal to each other.
The left side of the equal sign:
Step 1: Write the equation down:
[tex]2^x-4[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]2^1-4[/tex]
Step 3: Find the square of [tex]2^1[/tex], which is itself, 2.
[tex]2-4[/tex]
Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.
[tex]-2[/tex]
The right side of the equal sign:
Step 1: Write the equation down:
[tex]4^x-6[/tex]
Step 2: Substitute x for the numerical value we found.
[tex]4^1-6[/tex]
Step 3: Find the square of [tex]4^1[/tex], which is itself, 4.
[tex]4-6[/tex]
Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.
[tex]-2[/tex]
We know that [tex]x=1[/tex] because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.
[tex]-2=-2[/tex]
SEE QUESTION IN IMAGE
Answer:
B. 48°Step-by-step explanation:
∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)
m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)
m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)
Correct choice is B
Please solve this:
[tex] {2}^{y - 3} \times {3}^{2y - 8} = 36[/tex]
Solve for y.
Explain please!!
Answer only if you can.
Answer:
y is 5.
Step-by-step explanation:
[tex]{ \sf{{2}^{y - 3} \times {3}^{2y - 8 } = 36}} \\ \frac{ {2}^{y} }{ {2}^{3}} \times \frac{ {3}^{2y} }{ {3}^{8} } = 36 \\ \\ {2}^{y} . {3}^{2y} = 36 \times {2}^{3} \times {3}^{8} [/tex]
Introduce log base 10:
[tex] log_{10}( {2}^{y} \times {3}^{2y} ) = log_{10}(36 \times {2}^{3} \times {3}^{8} ) \\ log_{10}( {2}^{y} ) + log_{10}( {3}^{2y} ) = 6.28 \\ y log_{10}(2) + 2y log_{10}(3) = 6.28 \\ 0.3y + 0.95y = 6.28 \\ 1.25y = 6.28 \\ y = 5[/tex]
Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )
Answer:
[tex] = { \tt{(0, \: 0)}}[/tex]
Step-by-step explanation:
Let:
[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]
Substitute for y in equation (b) to equation (a):
[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]
Also, y = 0
Find the perimeter of the polygon
Answer:
Answer 60
Step-by-step explanation:
The distance from an exterior point to the incircle is equal to the tangent length in both cases.
So the 19 is made up of 9 and 10.
The length of the other portion of the tangent from the end of 19 to the tangent point on the right is also 10.
By a similar argument the lower length of the line to the tangent point is 11.
So you have
9 + 9 + 10 + 10 + 11 + 11
18 + 20 + 22 = 60.
Given that the days are the independent variable, which dependent variable has a constant rate of change?
Grandfather Giovanni's hens lay 180 eggs per day, which are placed in containers of 6 each. How many containers will you need per day?
Answer:
6
Step-by-step explanation:
What is the quotient?
(-3)
(-3)²
O-9
1
o
1
9
100
O 9
Answer:
(-3)
Step-by-step explanation:
follow me if you want