Answer:
Option A) angle B = 67°
Step-by-step explanation:
I'll use " [ " symbol for saying angle.
Alright so ...
since triangle ABC and triangle DEF are congruent
it means [ A = [ D
[ B = [ E
[ C = [ F
here [ A = 78° (which means [ D is also 78°)
and ..[ F = 35° (which means [ C is also 35°)
-->So now all you need to know to find [ B is to know the other two angles in the triangle. and thats where ..
you write.. [ A + [ B + [ C = 180° (angle sum property)
78° + [ B + 35° = 180°
113° + [ B = 180°
[ B = 180 - 113
= 67°
I hope that clears the concept , if you have any questions regarding it I'd love to help .
How much is 3/5 of 31/8 ?
Answer:
2.325
Step-by-step explanation:
i used a calculator ,i think i did it right lol
Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?
Answer:
they did not pay the same rate.
2 pairs for $50
50÷2=25
Miguel spent $25 on each pair of jeans
4 pairs for $90
90÷4=22.5
Han spent $22.50 on each pair of jeans
Therefore these two did not pay the same rate.
Step-by-step explanation:
Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)
Answer:
38.61
Step-by-step explanation:
Each value added to gether to achieve your final value
convert 15 °C to Fahrenheit, use the formula F = 9/5 C + 32
Answer:
59
9/5(15)+32 =59
Step-by-step explanation:
How to cross multiply for sin
Answer:
What do you mean sin?
Step-by-step explanation:
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
Order -3/4, 3/8, -1 1/8, -1/2 from least to greatest.Which is correct?
-1 1/8, -3/4, -1/2, 3/8
-1/2, -3/4, 1 1/8, 3/8
3/8, 1 1/8, -3/4 , -1/2
Answer:
the first one
Step-by-step explanation:
because the negative number is the least, and the positive is the greatest
A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.
Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)
Part B: At time t, at what rate is the height of the dough decreasing with respect to time?
Answer:
a) dA/dt = 125,42 mm/min
b) dh/dt = - 1,78 mm/min
Step-by-step explanation:
The volume of the cylinder is:
V(c) = π*r²*h ( r and h radius of the base and heigh respectively )
Then the surface area is: Area of the base : π*r²
Plus lateral area : h*2*π*r
A(c) = π*r² + 2*π*r*h
With the help of differentials we obtain:
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt (1)
In this equation and at time t we know:
r = 18 mm dr/dt = 2 mm/min h = 8 mm dh/dt = ??
dA/dt = increasing rate of the surface area ( with respect to time)
To find dh/dt we know:
V(c) is constant, then
V(c) = π*r²*h then h = V(c) / π*r²
dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴
By subtitution of V(c)
dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴
dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴
dh/dt = - [2*h* dr/dt ] / r
dh/dt = - 2*8*2 / 18 mm/min
dh/dt = - 1,78 mm/min
By subtitution in equation (1)
dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt
dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )
dA/dt = 226,20 + 100,53 - 201,31
dA/dt = 125,42 mm/min
Following are solutions to the given points:
Formula:
Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]
[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]
Part A:
Calculating the circular area of the surface:
[tex]\to A=\pi r^2\\\\[/tex]
So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]
Therefore
[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]
Part B:
[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]
Learn more:
brainly.com/question/19667963
one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm
Answer:
[tex]Area = 968000cm^2[/tex]
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
[tex]Length = 12.8m[/tex]
[tex]Breadth = 850cm[/tex]
For the bed, we have:
[tex]Length = 300cm[/tex]
[tex]Breadth = 400cm[/tex]
First, we calculate the surface area of the room.
[tex]A_1 = 12.8m * 850cm[/tex]
Convert all units to cm
[tex]A_1= 12.8*100cm * 850cm[/tex]
[tex]A_1= 1 088 000 cm^2[/tex]
Next, we calculate the area of the bed
[tex]A_2 = 300cm * 400cm[/tex]
[tex]A_2 = 120000cm^2[/tex]
The area of the space left is the difference between A1 and A2
[tex]Area = A_1 - A_2[/tex]
[tex]Area = 1088000cm^2 - 120000cm^2[/tex]
[tex]Area = 968000cm^2[/tex]
Please help geometry
solve the solution of the equations 10x-3y=3 and 2x+y=9
Answer:
x=1.875 y=-0.875
Step-by-step explanation:
10x-3y=3 10x-3y=3
3(2x+y)=(9)3 +6x+3y=27
1/16(16x)=(30)1/16 = x=1.875
10x-3y=3 10x-3y=3
-5(2x+y)=(9)-5 -10x-5y=4
1/-8(-8y)=(7)1/-8 = y=-0.875
At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo
Answer:
Cantaloupe = $6, peach=$5
Step-by-step explanation:
[tex]8x+3y=63\\2x+3y=27\\[/tex]
Subtract the first one from the second one
[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]
Plug in:
[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]
Hope this helps plz hit the crown :D
I needddddddddd helppppppppp
Answer:
[tex]\frac{2}{-3}[/tex]
Step-by-step explanation:
To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]
(1,-2) (4,-4)
[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]
Does anyone know the answer?
Answer:
the last one
Step-by-step explanation:
The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence
Answer:
Step-by-step explanation:
Answer: 1. heading and subheading
2. subheading
3. point-by-point
Step-by-step explanation:
What is the value of the expression when a = 5, b = 4 , and c = 6?
4a/2b−c
2
5
9
10
Step-by-step explanation:
9 +6=15-6=9
so your answer should be 9
mark me brainliest lol
Answer:
now you can say as brainliest to other person :)
which of these is not a linear graph.
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
The sum of three consecutive numbers is 84. What is the largest of these numbers? (1 point)
26
27
28
29
WILL GIVE BRAINLEST!!!!!!
Answer:
29
Step-by-step explanation:
First, we have to find three numbers out of the four that add up to 84. But, it has to be in order because the question says consecutive numbers. In case you don’t know, consecutive numbers are numbers that increase at the same rate. In this problem, the numbers increase by one. I first did 26+27+28, which equaled 81. I have to get to 84 though. So, I did 27+28+29, which equaled 84. I did it correctly because 27, 28, and 29 are consecutive number, since they go inorder, and I added them up to 84. But the question is asking which of the three is the largest number. So, out of 27, 28, and 29, 29 is the largest number.
Hope this helps and answers your question! :)
Answer:
Step-by-step explanation:
i just took the test its 29
Somebody help me quick
Answer: I know D it’s 18.6
which shape has sides that are straight and connected?
Answer:
The first shape
Step-by-step explanation:
Please help me with ptomblem
Answer:
When [tex] p^2 - 4p [/tex] is subtracted from [tex] p^2 + p - 6 [/tex], the result is [tex] 5p - 6 [/tex]. To get [tex] p - 9 [/tex], subtract [tex] 4p + 3 [/tex] from the result.
Step-by-step explanation:
✔️Subtracting [tex] p^2 - 4p [/tex] from [tex] p^2 + p - 6 [/tex]:
[tex] (p^2 + p - 6) - (p^2 - 4p) [/tex]
[tex] p^2 + p - 6 - p^2 + 4p [/tex] (Distributive property)
Collect like terms
[tex] p^2 - p^2 + p + 4p - 6 [/tex]
[tex] 5p - 6 [/tex]
✔️Subtracting [tex] p - 9 [/tex] from [tex] 5p - 6 [/tex]:
[tex] (5p - 6) - (p - 9) [/tex]
[tex] 5p - 6 - p + 9 [/tex] (distributive property)
Add like terms
[tex] 4p + 3 [/tex]
A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
Answer:
[tex]890.75m^3[/tex]
Step-by-step explanation:
Step one:
given data
heigth/depth = 3.5m
radius= 9m
Step two:
The shape is that of a cylinder
Hence the volume of the pool is
[tex]V= \pi r^2h[/tex]
substitute
[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]
PLEASE HELP ME !!!
:(
Answer:
Step-by-step explanation:
G is the incenter of ΔABC,
Incenter of a triangle is defined by the point where angle bisectors of the interior angles intersect.
10). m∠ABG = m∠CBG = 25°
11). m∠BCG = m∠ACG = 18°
Therefore, m∠BCA = m∠BCG + m∠ACG = 2×18° = 36°
12). m∠ABC + m∠BAC + m∠ACB = 180°
2(25)° + m∠BAC + 36° = 180°
m∠BAC = 180° - 86° = 94°
13). m∠BAG = [tex]\frac{1}{2}[/tex](m∠BAC) = 47°
14). Since, incenter is equidistant from all sides of the triangle,
Therefore, DG = GF = FE = 4 units
15). In right triangle BEG,
tan(25)° = [tex]\frac{\text{GE}}{\text{BE}}[/tex]
BE = [tex]\frac{\text{GE}}{\text{tan}25}[/tex]
= [tex]\frac{4}{\text{tan}25}[/tex]
BE = 8.6
16). In right triangle BEG,
cos(25)° = [tex]\frac{\text{4}}{\text{BG}}[/tex]
BG = [tex]\frac{4}{\text{cos}25}[/tex] = 4.4
17). In right triangle GEC,
sin(18)° = [tex]\frac{\text{GE}}{\text{GC}}[/tex]
GC = [tex]\frac{\text{4}}{\text{sin}(18)}[/tex] = 12.9
1/3 + a = 5/4
A=? ..........................................................
Bouncing Baby Company sells their cribs for the following amounts to stores:
Number of Cribs Price
10 $1320
50 $6600
Which of the following statements about the price of the cribs are true if the price remains proportional to the number of cribs? Select TWO that apply.
A
6 cribs cost $660
B
22 cribs cost $2640
C
40 cribs cost $5280
D
55 cribs cost $7920
E
80 cribs cost $10,560
F
250 cribs cost $11
Answer:
C and E
Step-by-step explanation:
Ik u prolly dont care about the explanation but ill just say it
the ratio is 1:132 or 1 crib is $132. So 40 x 132 = 5280 and 80 x 132 = 10560
For the test im doing the answer is C and D yw ;D
There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play
What’s the answer to the problem Help me
Answer:
$2000 can get 250000 sheets of papers
Step-by-step explanation:
[tex]500/4=125[/tex]
[tex]125*2000=250000[/tex]
please help UwU
if correct you get Brainiest
Answer: C
Step-by-step explanation:
Identify the pattern rule for this sequence
Answer:
it should be c
Step-by-step explanation:
What is the solution to this system of equations y=x-2 y=-0.5x+4
Answer:
Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.
x-2=-0.5x+4x−2=−0.5x+4
2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.
x=4x=4
3 Substitute x=4x=4 into y=x-2y=x−2.
y=2y=2
4 Therefore,
\begin{aligned}&x=4\\&y=2\end{aligned}
x=4
y=2
Step-by-step explanation:
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answer:
x = 32.20 !!
Step-by-step explanation:
Basically what your going to do is 12.80/320 = x/320
320x = 830 * 12.80
Sooooo X=32.20
Hop this helped