Answer:
15
Step-by-step explanation:
Applying,
The angle bisector theorem of triangle
From the diagram,
Since ΔAMT is an issoceless triangle,
Then,
Line OA divides Line MT into two equal parts.
Therefore,
Line MO = Line OT.............. Equation 1
From the diagram,
Line MO = 4x-1, Line OT = 3x+3
Substitute into equation 1
4x-1 = 3x+3
Collect like terms
4x-3x = 3+1
x = 4.
Therefore,
OT = 3(4)+3
OT = 12+3
OT = 15
At a pet shelter, there are 22 dogs, 40 cats, and 12 bunnies. What is the simplified ratio of bunnies to dogs?
Answer:
6 : 11
Step-by-step explanation:
12 : 22
reduce
6 : 11
Answer:
6:11
Step-by-step explanation:
Bunnies: dogs
12 : 22
Divide by 2
12/2 :22/2
6 : 11
Which of these does NOT describe an equivalent ratio or rate? A) 10:35 and 8:28 B) 4:10 and 10:25 C) 40km/h and 0.06 km/min D) 1.5L for $2.30 and 7.5 L for $11.50
Answer:
C
Step-by-step explanation:
convert option a to the lowest term
10 : 35 = 2: 7 (divide both ratios by 5)
8 : 28 = 2 : 7 (divide both ratios by 7)
convert option b to the lowest term
4 : 10 = 2 : 5 (divide both ratios by 2)
10 : 25 = 2 : 5 (divide both ratios by 5)
option c
divide 40km/h by 60 to convert to km / min
40/60 = 0.7 not equivalent
option d
determine cost of 1 litre
2.3/1.5 = 1.53
determine cost of 7.5 litres
1.53 x 7.5 = 11.5
How many significant figures is in 0.040060?
Answer: Sig Figs 5
Step-by-step explanation:
Simply as much as possible.
4.4b-2.6b
Answer:
1.4b
Step-by-step explanation:
4b-2.6b
4.0-2.6=1.4
4b-2.6b=1.4b
Answer:
1.8b
Step-by-step explanation:
4.4b - 2.6b
subtract we get
1.8 b
A 32 foot ladder is placed on the ground 10 ft from the base of a house. How far up the house will the ladder reach?
Answer:
22 feet
Step-by-step explanation:
A number cube labeled 1 through 6 is rolled three times.
What is the probability that the first roll is a 1, the second roll is a 2, and the third roll is greater than 4?
O A.
2
3
B.
C.
108
D. 216
PLEASE HELP N THANK YOU <3
which expression is equivalent to 5^10 x 5^5
Answer:
[tex] {5}^{10 + 5} = {5}^{15} [/tex]
Answer:
5^15
Step-by-step explanation:
when multiplying expressions with the same base you keep the base (the base is 5 ) and add the exponents (10 and 5) then you would get your awnser
Helppppp pleaseeeeee!!!!!’
Answer:
4, 12, 36, 108
Step-by-step explanation:
a1: 4(3)^1-1 = 4(3)^0 = 4
a2: 4(3)^2-1 = 4(3)^1 = 12
a3: 4(3)^3-1 = 4(3)^2 = 36
a4: 4(3)^4-1 = 4(3)^3 = 108
PLEASE HELP ME ITS DUE TODAY THANKS :)
Answer:
39
Step-by-step explanation:
Are of rectangle -Area of triangle
= 45 - 6
=39
Answer:[tex]\color{yellow}{}[/tex] 39 Feet squared
Area of rectangle - Area of triangle
»» 45 - 6
A=39fs
Neep help on finding what is the right answer.
Answer:for the first page b for the second pace a
Step-by-step explanation:
Determine the value of each variable below. Round to the nearest tenth.
Answer:
Step-by-step explanation:
1) tan = opposite / adjacent
tan * adjacent = opposite
adjacent = opposite/tan
adjiacent = 60/1,600335 = 37.5
2) the two leg are congruent so the two angles are congruent
the sum of the inner angles of a triangle is 180 degrees
so
a = 45 degrees
b = 45 degrees
3) cos = adjacent/hypotenuse
adjacent = cos * hypotenuse
adjacent = 0,920505 * 45
adjacent = 41.4
3x-6y=24 y=Mx+b form
Answer:
Hi, there your answer is[tex]y=\frac{1}{2} x-4[/tex]
Step-by-step explanation:
Let's solve for y.
3x−6y=24
Step 1: Add -3x to both sides.
3x−6y+−3x=24+−3x
−6y=−3x+24
Step 2: Divide both sides by -6.
−6y /−6 = −3x+24 /−6
y=1/2x-4
Hope this helps :)
When graphed, the three lines y.** 2. y. 2x-1, and y--2 intersect in such a way that they form a triangle
What are the coordinates of the three vertices of this triangle?
-5
7
2
-1
2 3 4 5 6
-1
2
4
5
6
-7
OA (2.0), (0, 2), and (-1,-3)
OB. (0, 2), (2.0), and (1,-1)
OC (1, 1), (2.0), and (-1,-3)
.D. (1,1),(0, 2), and (-1,-3)
Of (2.0), (1, -1), and (-1,-3)
Answer:
(1,1); (2,0) and (-1,-3)
Step-by-step explanation:
Given
[tex]y=-x+2[/tex] ---- (1)
[tex]y = 2x - 1[/tex] --- (2)
[tex]y = x -2[/tex] ---- (3)
Required
The vertices of the triangle
To do this, we simply equate the equations.
Equate (1) and (2)
[tex]-x + 2 = 2x - 1[/tex]
Collect like terms
[tex]-x-2x=-2-1[/tex]
[tex]-3x=-3[/tex]
Divide by -3
[tex]x =1[/tex]
Substitute [tex]x =1[/tex] in (1), to get the y-coordinates
[tex]y=-x+2[/tex]
[tex]y=-1+2[/tex]
[tex]y=1[/tex]
So, the coordinate is: (1,1)
Equate (1) and (3)
[tex]-x + 2 = x - 2[/tex]
Collect like terms
[tex]-x -x = -2 - 2[/tex]
[tex]-2x = -4[/tex]
Divide by -2
[tex]x=2[/tex]
Substitute [tex]x=2[/tex] in (1) to get the y coordinate
[tex]y=-x+2[/tex]
[tex]y=-2+2[/tex]
[tex]y=0[/tex]
So, the coordinate is (2,0)
Equate (2) and (3)
[tex]2x - 1 = x - 2[/tex]
Collect like terms
[tex]2x-x=1-2[/tex]
[tex]x=-1[/tex]
Substitute [tex]x=-1[/tex] in (2) to get the y coordinates
[tex]y = x -2[/tex]
[tex]y=-1-2[/tex]
[tex]y=-3[/tex]
So, the coordinate is (-1,-3)
help me with this question pls!
Answer:
8
Step-by-step explanation:
Eight Equeal Tri's
write as a negative exponent.
1/12^4
Step-by-step explanation:
(1/12)⁴
if the exponents is negative I.e -4
then
12to the power -4
In A ABC, m2 A
= 100°, m2 B = 30°, and m2 C = 50°. Which lists the sides from largest to smallest?
Answer:
100%, 50%, and 30%
Step-by-step explanation:
Thanks for your time.
(>.<) <3 Kris
Answer:
k(jjjjjjjjhuyt67 in bbkl
8. At a winery 15 people are hired to pick grapes. They pick 15 tons of grapes, which yield 1200 to 1300 gallons of wine ( 1 ton = 2000 pounds). What is the yield percent for grapes to produce wine? ( Use 1250 gallons in calculations)
Answer:
290.4 %
Step-by-step explanation:
Since 15 tons of grapes are picked and 1 ton = 2000 pounds, then 15 tons = 15 × 1 ton = 15 × 2000 lb = 30000 lb which is the mass of the grapes.
Since 1200 to 1300 gallons of wine are produced and we are to use 1250 gallons in calculations, since the density of wine, ρ = 8.262 lb/gallon, and ρ = mass of wine, m'/volume of wine, v = m/v
ρ = m/v
So, making m subject of the formula, we have
m = ρv
substituting the values of the variables into the equation, we have
m = 8.262 lb/gal × 1250 gal = 10327.5 lb
So, the yield percent for grapes to produce wine = mass of grapes/mass of wine × 100 %
= 30000 lb/10327.5 lb × 100 %
= 2.904 × 100 %
= 290.4 %
So, the yield percent for grapes to produce wine is 290.4 %
Perform the indicated operation.
(16m2 + 40m + 25) ÷ (4m + 5) = _____
4 m + 5
4 m + 15 R. 100
4 m + 15 R. -50
4 m + 5 R. 50
Step-by-step explanation:
the answer is 4 m + 5 and my workings and the image above
Answer:
[tex]4m + 5[/tex]
Step-by-step explanation:
[tex](16 {m}^{2} +40m+25)÷(4m+5)[/tex]
[tex] \frac{16 {m }^{2} + 40m + 25}{(4m + 5)} [/tex][tex] \frac{(4 m + 5 {)}^{2} }{4m + 5} [/tex][tex]4m + 5[/tex]
Hope it is helpful....Marque a alternativa correta *
1 ponto
y = 4x – 2 é uma função do 1° grau decrescente.
y = 4 – 2x é uma função do 1° grau decrescente.
f(x) = x não é uma função do 1° grau .
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
NRA
Step-by-step explanation:
f(x) = 1/2 x é uma função do 1° grau com coeficiente linear=1/2.
Drag the tiles to the correct boxes to complete the pairs.
The function (x) is represented by this table of values
Answer:
Step-by-step explanation:
Average rate of change of a function between interval x = a and x = b is given by,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Average rate of change of the function in the interval [-4, -2]
= [tex]\frac{f(-2)-f(-4)}{-2-(-4)}[/tex]
= [tex]\frac{0-(-12)}{-2+4}[/tex]
= 6
Average rate of change in the interval [-2, 1]
= [tex]\frac{f(1)-f(-2)}{1-(-2)}[/tex]
= [tex]\frac{3-0}{1-(-2)}[/tex]
= 1
Average rate of change in the interval [-3, 1]
= [tex]\frac{f(1)-f(-3)}{1-(-3)}[/tex]
= [tex]\frac{3-(-5)}{1+3}[/tex]
= 2
Average rate of change in the interval [-4, 0]
= [tex]\frac{f(0)-f(-4)}{0-(-4)}[/tex]
= [tex]\frac{4-(-12)}{0-(-4)}[/tex]
= 4
PLEASE HELP ME QUICKLY
Answer:
I believe it’s 3:1:10
Step-by-step explanation:
because 15/5 = 3 making the ratio 3:1 and 50/5 is 10 making it 1:10
PLEASE HELP HURRYYY URGENTTT
Answer:
B
Step-by-step explanation:
Substitute the x- coordinate of the solution into each equation and if the value obtained is equal to the y- coordinate of the solution, then it is the equation.
A
y = - 2(4) + 4 = - 8 + 4 = - 4 ≠ 2 ← not the equation
B
y = - [tex]\frac{3}{4}[/tex] (4) + 5 = - 3 + 5 = 2 ← this is the equation
Thus (B) could be the equation of line n
Express the ratio in its simplest form. 24:36
Answer:
2:3
Step-by-step explanation:
We can divide both numbers by 12
24 : 12 = 2
36 : 12 = 3
What is the radius, in centimeters, of a circle that has a circumference of 161 centimeters?
A. 8. B. 16. C. 32. D. 64
Answer:
25.63694268 = r
Step-by-step explanation:
The circumference is
C = 2*pi*r
161 = 2*(3.14) *r
161 = 6.28 r
Divide each side by 6.28
161/6.28 = r
25.63694268 = r
Which statement best describes the graph?
Answer:
Step-by-step explanation:
It looks as if you are tending towards picking choice C as the answer because that's where your mouse is. That's correct. Choice C is the one you want. Good!
Find the area (THANKS YALL PLEASE ITS FOR MY FINALS )
Answer:
The area is 261.8
Step-by-step explanation:
Literally just multiply 14 and 18.7 together
As 5 miles is approximately 8 km, 150 miles is approximately
Answer:
240
Step-by-step explanation:
5 150
-- -----
8 x
so you would then do 8 × 150 = 1200
then 1200 ÷ 5 = 240
so x = 240
What is the first step in solving the equation 2/3x+1/3x+2=5 ? Subtract 1/3 from each side of the equation. Add 2 to each side of the equation. Combine like terms. Multiply each side of the equation by 5.
Answer:
Combine like terms
Step-by-step explanation:
For which value of Theta is csc (Theta) undefined?
0
StartFraction pi Over 2 EndFraction
StartFraction 3 pi Over 2 EndFraction
StartFraction 7 pi Over 2 EndFraction
Answer:
It is B, StartFraction pi Over 2 EndFraction
Step-by-step explanation:
I don’t know the answer
Answer:
c = 10.5
Step-by-step explanation:
Formula: the product of the lengths of the segments of one chord equal the product of the segments of the other.
a •d = c • b
7*12 = c*8
84 =8c
Divide by 8
84/8 = 8c/8
10.5 = c