Answer:
−4√5+9i√2
Step-by-step explanation:
You will get that when you simplify each term
A triangular entranceway has walls with corner angles of 50°, 70°, and 60°. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?
Answer:
Look for the incenter and place it there.
Step-by-step explanation:
Since there are three angles of 50°, 70° and 60°. If the designer is to place a sculpture on a round central position equidistant from all three walls, then he is looking for the incenter.
The incenter is simply the point where the bisectors of all the three angles intersect. This point is also the center of the largest circle that can be drawn inside the triangle where it touches all three sides of the triangle. Definitely, if the incenter is the middle of the circle that touches all the three sides, then the incenter will be equidistant from the three walls due to the fact that radius will always be the same in a circle.
This is why, he is to look for the incenter.
Giving brainliest 10 points! Please help me with this question
Answer:
(0,-23)
Step-by-step explanation:
PLS HELP!!
What values of u and v make triangle XYZ = Triangle GFH
Answers:
u = 18
v = 20
========================================================
Work Shown:
The leg YZ is congruent to the left FH
This means YZ = FH and that leads to u+v-18 = 10u-8v
The hypotenuse ZX is congruent to the hypotenuse HG
This means ZX = HG and we get the equation 14v-14u+32 = v+u+22
----------------------
The system of equations we have so far is
u+v-18 = 10u-8v
14v-14u+32 = v+u+22
Let's get the equations into standard form
Start with the first equation
u+v-18 = 10u-8v
u+v = 10u-8v+18
u+v-10u+8v = 18
-9u+9v = 18
-9(u-v) = 18
u-v = 18/(-9)
u-v = -2
Note how we can solve for the variable u to get
u = v-2
which we'll use later
----------------------
Let's get the other equation into standard form as well
14v-14u+32 = v+u+22
14v-14u-v-u = 22-32
-15u+13v = -10
Now plug in u = v-2 and solve for v
-15u+13v = -10
-15(v-2) + 13v = -10
-15v+30+13v = -10
-2v+30 = -10
-2v = -10-30
-2v = -40
v = -40/(-2)
v = 20
Which means,
u = v-2
u = 20-2
u = 18
Please HELP
Which statement is true ??
Answer:
the answer is d(<a=<b)
Step-by-step explanation:
because alternate interior angles are equal
Plzzzzzz im not lying i really need help plz y'all
Answer:
8000
Step-by-step explanation:
7-7=0
2-2=0
6-6=0
take the 1 out of 14,000 and add that to the 4 as a ten so you get 14 and than subtract 6 to get 8
You and your friend walk to school together every day. You meet at the halfway point between your houses first and then walk to school. Each unit in the coordinate plane corresponds to 50 yards. A) What are the coordinates of the midpoint of the line segment joining the two houses? B) What is the distance that the two of you walk together?
Please show the steps
Answer:
no se
Step-by-step explanation:
The coordinate of the midpoint joining the two houses, since each unit on the coordinate is 50 units is (150, 250) and the distance walked to school is 254.95 yards
From the graph given :
The x - coordinate of the midpoint is 3 units from the origin = (3 × 50) = 150 yards
The y-coordinate of the midpoint is 5 units from the origin = (5 × 50) = 250 yards
Hence, the coordinate of the midpoint is (150, 250)
The distance walked to school :
Distance = √(y2 - y1)² + (x2 - x1)²
Distance = √(400 - 150)² + (300 - 250)²
Distance = √250² + 50²
Distance = 254.95 yards
Therefore, the distance the boys walk to school is 254.95 yards.
Learn more : https://brainly.com/question/20226272
Fill in the symbol to make the inequality match the statements.
There are more people than dogs at the park p____d
There are less cats than people in the house c___p
Answer:
p > d
c < p
Step-by-step explanation:
stephanie has the same number of dimes and nickels. she has $6.10 in all. what an equation that you could use to find the number of dimes and nickes
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
How many lines of symmetry are in this snowflake design?
5
BS UDJD9AYW VS DHS EG EE S WCWVW W S FHRD DJE EHVEBE EBE
the probability of rolling an even number with a six-sided number cube is about 1/2. Choose the likelihood that bests describes the probability of this event.
Answer:
50/50 chance
Step-by-step explanation:
Simple
Answer:
50% chance likely
Step-by-step explanation:
please please help i’ll give brainliest tysm:))
Answer:
a
Step-by-step explanation:
a
Answer:
I would say between 9 and 13
80% would be about 10 gallons and the remaining 20% would be like 3 gallons making it 13, but I don't think that it could hold more than 13 gallons, making the answer between 9 and 13
Step-by-step explanation:
Does (–3, 9) make the equation y = –3x true?
Answer:
Yes, (-3,9) makes the equation of y = -3x true
Step-by-step explanation:
y = -3x (-3,9)
9 = -3(-3)
9 = 9
TRUE
Answer:
Move convo here
Step-by-step explanation:
Find the solution(s) for x in the equation below.
x^2 - 25 = 0
A. x = -5
B. no solutions
C. x = 5
D. x = 5; x = -5
Answer:
D) x=5, x=-5.
Step-by-step explanation:
x^2-25=0
factor
(x+5)(x-5)=0
x+5=0, x-5=0,
x=0-5=-5,
x=0+5=5.
PLEASE HELP
due today in 20 minutes
i will mark you brainliest
PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
PLZ HELP I NEED THE ANSWER
Answer:
D I belive
Step-by-step explanation:
Answer:
i think its a
Step-by-step explanation:
PLZ HELP ME 30 POINTS TROLLERS WILL BE REPORTED
Answer:
56.25 B (haha troll go brrr)
Step-by-step explanation:
the ratio of the triangle measurements are:
60/45=75/x
60x=3375
x=56.25, therefore the distance of the new bridge is 56.25
10+(−3.5)×2+(−9)÷(−3)
Answer:
6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
10 + (-3.5) × 2 + (-9) ÷ (-3)
Step 2: Evaluate
Multiply: 10 - 7 + (-9) ÷ (-3)Divide: 10 - 7 + 3Subtract: 3 + 3Add: 63/4g=-12
solve and if you can explain the process bc I have no clue what I'm doing
Answer:
-16
Step-by-step explanation:
3/4 = 0.75
0.75 x -16 = -12
need help on worksheet
Answer:
-2, -1, 0, 1, 2
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!
Does anyone know this because clearly i dont
Multiply.
(x−5)(3x+6)
Express the answer in standard form.
Answer:
[tex]3x^{2} -9x-30[/tex]
Step-by-step explanation:
(x - 5)(3x + 6)
[tex]3x^{2} +6x-15x-30\\3x^{2} -9x-30[/tex]
Answer:
3x² - 9x - 30
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
(x - 5)(3x + 6)
Step 2: Expand
Expand [FOIL]: 3x² + 6x - 15x - 30Combine like terms: 3x² - 9x - 30A car dealer wants the ratio of 3 trucks to 11 cars on his lot. If he has 87 trucks on his lot, how many cars should he have on his lot?
Answer:
hi
Step-by-step explanation:
hell0
Help pls I’m really stupid
Answer:
8
Step-by-step explanation:
[tex]x - y \\ \\ = 6 - ( - 2) \\ \\ = 6 + 2 \\ \\ = 8[/tex]
You are a genius and not a stupid.
I WILL GIVE BRAINLIEST IF SOMEONE GET THIS.......
The ratio of John's earning to Musa's earning is 5:3. If Johns earning increases by 12% his new figure becomes 5,600. Find the corresponding percentage change in musa's earning if the sum of their new earning is 9,800.
Answer:
37.6%
Step-by-step explanation:
You can use find John's original earnings by taking 12% off of 5600. You can do this by doing 0.78 x 5600, and you get 4368.
Now, we can use John's orignal earning to find Musa's original earning. Knowing that their earning's correspond, you can use the proportion 5/3 = 5600/x. You can use cross products to solve:
4368 x 3 = 5x
13104 = 5x
2620.8 = x
Musa's original earnings was 2620.8.
If the sum of their new earnings is 9800, we can take of John's new earnings to find Musa's new earnings. 9800 - 5600= 4200. That means Musa's new earnings were 4200. To find the percentage, we can use the following equation, and then solve:
2620.8 = 4200x
.624 = x
That means that 2620.8 is 62.4% of 4200, and that it increased by 37.6%.
Hope t helps! Have a great day! Sorry it took so long.... I was trying to give a good answer :)How do you solve this?
Look at attached file please...I'm really confused!
Answer:
X=18, Y=6
Step by Step Explanation:
This is a little long winded.. Let's solve for Y first.
First looking at the problem, you can note a few things. First of all, there is an Isosceles triangle, and there is an equilateral triangle. Where they connect, there is a 90° angle.
Now, all equilateral triangles have the same angle measurement. 60°. Now, if you look where the right angle is, it is showing a 60° angle, a total of 90°, and an unknown area. So simply subtract. 90-60=30. Divide that by 5, and you have your answer of 6.
Now let's solve X. X is very simple. On an isosceles triangle, the two top sides are the same length. And one of the top sides is the same size as the equilateral triangle. And on equilateral triangles, all sides are the same.
So the 11 transfers over to the X side. So let's make a small equation. 11=X-7. To make it even, let's add 7 to both sides. 11+7=X+7-7. Simplify to get 18=X, which is your answer.
Answer:
X=18 y=6
Step-by-step explanation:
explain and solve
You need 3 sticks of butter for every 24 cookies. If you have 5 sticks of butter how many cookies is that?
Answer:
5:40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
:)
18 = 5p + 3 NEED HELP ASAP
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]5p+3=18\\5p=15\\p=3[/tex]
Hope this helps plz hit the crown :D
Answer:
Are you solving for p , because if you are p = 3
Step-by-step explanation:
18 = 5p + 3
Subtract 3 from both sides
15 = 5p
Divide by 5 in both sides
p = 3