Answer:
53°Step-by-step explanation:
Angle ABE = 90°
Angle CBE = 37° (opposite angle)
90 - 37 = 53°
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Chloe's birthday.
Answer:
3 chocolates each night
Step-by-step explanation:
C-3
t-1
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Find the value of x and thank for answer
The width of a rectangle measures (10p + 6) centimeters, and its length
measures (2p – 10) centimeters. Which expression represents the
perimeter, in centimeters, of the rectangle?
-
Answer:
24p-8
Step-by-step explanation:
Perimeter just means add up all the sides
(10p+6)+(2p-10)+(10p+6)+(2p-10)
= 24p-8
What series of transformation will not map figure H onto itself
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
When using re-grouping to solve 25 x 45, what are the four problems that would be calculated to find the final answer?
A.20 x 40; 5 x 40; 20 x 5; 5 x 5
B.20 x 20; 40 x 40; 20 x 5; 5 x 5
C.20 x 40; 20 x 5; 40 x 5
D.20 x 40; 5 x 20; 20 x 5; 5 x 5
Answer:
It is number 1
Step-by-step explanation:
I tried it.
solve pls brainliest
1. None, it makes a cylinder
2. C
3. B
4. A
Five more than seven time a number is ninerty-six.what is the number?
Answer:
5x + 6 ≥ 21
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
PLEASE HELP! NEED IT NOW!
Calculate the circumference and area of a circle with the given measure. Use 3.14 for p.
a. radius = 3 cm
b. diameter = 4 ft
Answer:
ok
Step-by-step explanation: 3cm i believe
ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
Which inequality is a true statement?
Select each correct answer.
−4 = −5
−4 ≤ −5
−4 < −5
−4 > −5
−4 ≥ −5
Answer:
i think -4>-5
Step-by-step explanation:
because (-4)is greater than (-5)
!!NEED ASAP!!
The London Eye is Europe's
largest Ferris wheel with a
diameter of 120 meters. It takes
30 minutes for the wheel to make
one full rotation. If the wheel is
running continuously, how far will
a passenger travel in 40 minutes?
Round your answer to
the nearest tenth.
Diameter = 120m
Circumference = (120 · π) m
(40 min) / (30 min/rotation) = 4/3 rotation
Passenger travel = (4/3) · (120π) = 160π meters = 502.7 meters
I don’t understand this someone please help
Answer: table 1 is 35 and table 2 is 1.301
Step-by-step explanation:
How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
please help question 20 due on monday
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
how many trees will be planted when 5 are cut down
Help finding surface area
Answer:
471.23 km²
Step-by-step explanation:
This is a cylinder.
Here's the formula to the the surface area of a cylinder.
[tex]Surface\:\:Area\:\:\:= 2\pi r(r+h)[/tex]
They have given the the diameter of the circle .
There fore we have to find the radius .
d = 2 r
10 = 2 r
5 km = r
Let's find the Surface area now.
[tex]2\pi r(r+h)[/tex]
[tex]2 *\pi *5(5+10)[/tex]
[tex]10\pi *15[/tex]
[tex]150 \pi[/tex]
471.23 km²
Hope this helps you.
Let me know if you have any other questions :-)
Miss Reyes earns $3500 per month from which income tax is deducted at 30%. Calculate her net pay.
Answer: 3395 dollars
Step-by-step explanation:
First, the question said that Miss Reyes earns 3500 dollars. But the tax is 30%. Than, the tax is 3500 times to 30%. If you calculate it, it will be 105 dollars. Now, we can subtract the 105 from 3500. It equals to 3395 dollars.
20 POINTS !!
x^2+y^2+2x+2y=0
x^2+y^2+2x+6y+9=0 solve each system using substitution
Will mark brainlyest if steps are provided
Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
HELPPPPP ASAP!!!! I’m on a limit
Answer:
look at the photo.........expand and simplify 4(x+3)+4(x+5)
You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?
levi finds a skateboard that sells 139.99. the store charges 6% sales tax about how much money will he have to spend for his skateboard?
The amount Levi spends on this skateboard is $148.39.
Tax is an amount levied on goods and services by the government. Taxes increases the price of goods and services.
The amount Levi spends on this skateboard = value of the tax + cost of the skateboard
value of the tax = 6% x $139.99
0,06 x $139.99 = $8.40
The amount Levi spends on this skateboard = $8.40 + $139.99 = $148.39
To learn more about taxes, please check: https://brainly.com/question/19540033
Solve each question with the quadratic formula
6a² + 10 = 0
I know the answer but I'm not to sure how imaginary roots work. I would really appreciate if someone could explain how imaginary roots work! :)
Answer:
[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
Step-by-step explanation:
[tex]\sf 6a^2 + 10 = 0[/tex]
We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
[tex]\sf 6a^2 + 10 = 0[/tex]
Substitute 6: a, 0: b, 10: c
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]
→ Square 0
→ Multiply -4 * 6= -24
→ Multiply -24 * 10 = -240
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]
→ Take the square root of -240:
→ Multiply 2 * 6= 12
Now, Separate solutions:
[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]
Now, Separate solutions:
First, solve the equation when ± is plus:
[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
___
Now, solve it when ± is minus:
[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
__________________________________________
[tex]\sf\longmapsto 6a^2+10=0[/tex]
a=6b=0c=10[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)
[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]
[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]
[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]
What is i?i stands for iota.
[tex]\sf\longmapsto i=\sqrt{-1}[/tex]
Use substitution to solve the system. 5X+3Y=22 Y=2X-11
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
[tex]y=2x-11\\5x+3y=22[/tex]
We can solve it by inserting our y value into the y value of the second equation.
[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]
Now that we know our x value, we can solve for y by inserting it into an equation.
[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).
Answer:
(5, - 1 )
Step-by-step explanation:
5x + 3y = 22 → (1)
y = 2x - 11 → (2)
Substitute y = 2x - 11 into (1)
5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side
5x + 6x - 33 = 22
11x - 33 = 22 ( add 33 to both sides )
11x = 55 ( divide both sides by 11 )
x = 5
Substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
Find the perimeter. Simplify the answer.
Answer:
34p - 16
Step-by-step explanation:
Perimeter = 8p + 2 + 8p + 2 + 9p - 10 + 9p - 10
Perimeter = 16p + 18p + 4 - 20
Perimeter = 34p - 16
-Chetan K
we have : [tex]P=2[(9p-10)+(8p+2)]= 2[9p-10+8p+2] = 2[17p-8] = 34p-16[/tex]
ok done. Thank to me :>
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.