Given:
For every 45 pieces of blue yarn, Colleen uses 18 pieces of red yard.
To find:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf.
Solution:
We have,
Blue yarn = 45 pieces
Red yarn = 18 pieces
It is given that there is a proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf. So,
[tex]\dfrac{r}{b}=\dfrac{18}{45}[/tex]
[tex]\dfrac{r}{b}=\dfrac{2}{5}[/tex]
[tex]r=\dfrac{2}{5}b[/tex]
Therefore, the required equation is [tex]r=\dfrac{2}{5}b[/tex].
Evaluate tan look at picture please 21 and 21 please
Answer:
none of these
Step-by-step explanation:
tan(7π/6)
tan(180*7/6)
tan(30*7)
tan(210)
tan(360-150)
-tan 150
-(-1/[tex]\sqrt{3[/tex])
1/[tex]\sqrt{3[/tex]
Step-by-step explanation:
[tex] \tan( \frac{7\pi}{6} ) \\ = \tan( \pi + \frac{\pi}{ 6} ) \\ = \tan( \frac{\pi}{6} ) [/tex]
as this angle lies in the third quadrant and tan x is positive in the third quad.
[tex] = \frac{1}{ \sqrt{3} } \\ as \: the \: value \: of \: \tan( \frac{\pi}{6} ) = \frac{1}{ \sqrt{3} } \\
\frac{1}{ \sqrt{3} } ×\frac{\sqrt{3}}{ \sqrt{3} }\\
= \frac{\sqrt{3} }{ 3 } [/tex]
option 4.
as when u multiply both the numerator and denominator by root 3 u get the desired result
what will a 27 1/2 feet tall tree after 11 years
be if u add 1 1/2 every year
Answer:
44 ft
Step-by-step explanation:
11 × 1.5 = 16.5
27.5 + 16.5
44
Answer:
44ft
Step-by-step explanation:
someone help plsplspls
Answer/Step-by-step explanation:
Volume of a cone = ⅓*π*r²h
Where,
Radius (r) = 7 mm
Height (h) = 8 mm
Plug in the value into the equation
V = ⅓*3.14*7²*8
V = ⅓*3.14*49*8
V = 410.293333
V ≈ 410.3 mm³ (nearest tenth)
A rectangle in the coordinate plane has vertices at (-1, 6), (-1, 2), (4, 2), and (4, 6). The perimeter of the rectangle is Choose... units. The area of the rectangle is Choose... square units.
Answer:
perimeter = 18 units
area = 20 square units.
Step-by-step explanation:
We know that a rectangle is defined by two measures, length L, and width W.
Such that the perimeter is given by:
P = 2*(L + W)
and the area is given by:
A = L*W
Here we know that the vertices of or rectangle are:
(-1, 6)
(-1, 2)
(4, 2)
(4, 6)
Here you can see that we have just two different values of x (-1 and 4) and two different values of y (6 and 2)
So we can define the length L as the difference between the two different values of x:
L = 4 - (-1) = 4 + 1 = 5 units
And the width as the difference between the two different values of y:
W = 6 - 2 = 4 units
A graph of the rectangle can be seen below, to see why I choose to define the length and width in this way.
Now that we know the measures of our rectangle, and using the above formulas for perimeter and area, we get:
P = 2*(W + L) = 2*(5 + 4) = 18 units
A = W*L = 5*4 = 20 square units
find the axis of symmetry of each parabola
Answer:
a) x=-1.5
b) x=2
Step-by-step explanation:
The axis of symmetry is what straight line would divide the parabola directly in half.
Answer:
A. -1.5 B.2
Step-by-step explanation:
The Axis of symmetry is the line that goes through the center of the parabola. And resembles a symmetrical shape that makes the parabola look the same on both sides.
In this case for A, -1.5 would be the answer because it is in the center of the parabola on the x-axis. For B, 2 is the axis of symmetry because it lines up in the center of the parabola.
Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
Answer:
p³+2; 29 plants
Step-by-step explanation:
Hi there!
Find the expression to represent the total number of plants in her garden
p
First, we're told that Iliana cubed the number of flowering plants in her garden. This means she raised the original number of plants by an exponent of 3.
p³
Then, we're told that she added 2 vegetable plants.
p³+2
Find the number of total plants if p=3
p³+2
= (3)³+2
= 27+2
= 29
Therefore, Iliana now has 29 plants in total.
I hope this helps!
Answer:
D
Step-by-step explanation:
Worth 10 points
It’s a picture so it’s clear
José flips a coin two times. If H is heads and T is tails, what is the sample space for this compound event?
A.
H-H, H-T, T-H
B.
H-H, H-T, T-T, T-H
C.
H-T, T-H
D.
H-H, T-H, T-T
Answer:
I think it is D. because it is theoretical
Solve
PLEASE HELP AND HURRY!
Answer:
it's -7 1/3 because since the equation is all negative you would just simply add the -5 and -2 1/3
-7b - 9ac + 4b + 12ac, is equivalent to
[tex]\longrightarrow{\green{ \: - 3 \: (b - ac)}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: - 7b - 9ac + 4b + 12ac[/tex]
➼[tex] \: - 7b + 4b - 9ac + 12ac[/tex]
➼[tex] \: - 3b + 3ac[/tex]
➼[tex] \: - 3 \: (b - ac)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
resolver:
-[(5-8)+12] ÷ 9:
Answer:
The answer is -1
Step-by-step explanation:
-[(5-8)+12] ÷ 9
-[-3+12] ÷ 9
[3-12] ÷ 9 {becoz (- × + = -) (- × - = +)}
-9 ÷ 9
-1
Hope this may help you to solve these problems ☺
plz help fast
1. Why are all rectangles parallelograms, but all parallelograms are not rectangles?
2. What properties must a quadrilateral posses in order for the quadrilateral to be classified as a:
a) trapezoid
b) isosceles trapezoid?
Answer:
1: Because all lines on a rectangle never touch so it is a parallelogram. But all sides of a square don't touch either, so that's also a parallelogram. So not all parallelograms are rectangles since squares are also parallelograms
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. All internal angles of a rectangle are 90° while the internal angles of a parallelogram may differ
2. A quadrilateral just means anything with 4 sides (quad meaning 4 and lateral meaning sides) and it is 2-dimensional with straight sides.
Therefore, the trapezoid and isosceles trapezoid are quadrilateral
a) A quadrilateral must have a pair of parallel sides to be classified as a trapezoid.
b) A quadrilateral must have the left and right side to be of equal length and the base angles equal to be classified as an isosceles trapezoid
I hope this answers your questions correctly
(please answer with explaining each step)
Question on the image
Answer:
m =10
Step-by-step explanation:
Barry = m
S = m+5 since they are 5 years older
A = m-3 since they are 3 years younger
Add to get the total
m + (m+5) + (m-3) = 32
Combine like terms
3m +2 = 32
Subtract 2 from each side
3m+2-2 = 32-2
3m = 30
Divide by 3
3m/3 = 30/3
m =10
Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)
Answer:
2n + 2
Step-by-step explanation:
The formula for nth term of an arithmetic progression is [tex]an = d*n+a1-d[/tex]
In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).
[tex]an=d*n+a1-d\\an=2n+4-2\\an=2n+2[/tex]
Find HE
A) 21
B) 20
C) 12
D) 24
Answer:
20
Step-by-step explanation:
GF = 3
HF = 9
GE = 14
HG = 9 - 3 = 6
6 + 14 = 20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the measure of angle 3
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
90
Step-by-step explanation:
4x+22=-6x+192 since 4x+22 is the same as angle 5 due to parallel lines, and then 5 = -6x+192 as it is straight across.
4x+22=-6x+192
10x+22=192
10x=170
x=17
plug back in to equation
4(17)+22= 90
Answer:
∠3 = 90°
Step-by-step explanation:
∠4 = ( 4x + 22 )° [ Vertically opposite angles ]
∠4 = ( -6x + 192)° [ Corresponding angles ]
Therefore ,
4x + 22 = - 6x + 192
4x + 6x = 192 - 22
10x = 170
x = 17
∠4 = 4x + 22 = (4 × 17 ) + 22 = 90°
∠4 = 90°
∠3 + ∠4 = 180°
∠3 + 90° = 180°
∠3 = 180° - 90°
∠3 = 90°
two hot airballoons are travelingalong the samepath away from town beginningfrom difrant locationsat the same time henery's balloon begins 15 miles from the town and is 31 miles from the town after 2 hours. the distanceof tasha'sballoon from the town is represented by the function y=5x+25
witch ball on was farther from the town at the beginning and which traveled more quickly?
A. tasha's balloon was further from the town at the beginning and it traveled more quickly.
B. Henry's balloon was further from the town at the beginning and it traveled more quickly.
C. Henry's balloon was further from the town at the beginning but tasha's balloon traveled more quickly
D. tasha's balloon was further from the town at the beginning but henery's balloon traveled more quickly
Answer: I think it is B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
tasha's ballon speed=5 mph
henrey's balloon speed=(31-15)/2=16/2=8 mph
tasha's initial distance was y=5×0+25 =25 miles
Henrey's balloon initial distance=15 miles
How many 1/4 mile segments are in a 2 mile relay?
[tex]\frac{2}{1}[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex]
[tex]\frac{2}{1}[/tex] × [tex]\frac{4}{1}[/tex] = [tex]\frac{8}{1}[/tex]
= 8
I hope this helps! :D
Math question please show work due today last day to submit Assignments or I fail please help
9514 1404 393
Answer:
a. 123.2 cm²
b. 136 m²
Step-by-step explanation:
Use the formulas.
a) The formula is ...
SA = 2πr(r+h) . . . . where r is half the diameter, and h is the height.
SA = 2π(2 cm)(2 cm +7.8 cm) = 2·2·9.8π cm² = 123.2 cm²
__
b) The formula is ...
SA = 2(LW +H(L+W))
SA = 2((8 m)(3 m) +(4 m)(8 m +3 m)) = 2(24 m² +44 m²) = 136 m²
_____
For the cylinder, we used the "pi button" and rounded to tenths. If you use 3.14 for π, you get 123.1 cm² when rounded to tenths.
Answer:
[tex]\text{a. }123.2\:\mathrm{cm^2},\\\text{b. }136\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Part A:
The total surface area of the cylinder consists of two circular bases and a side area. The area of a circle is given by [tex]A=r^2\pi[/tex], where [tex]r[/tex] is the radius of the circle. Since the diameter is given as 4 cm, the radius must be 2 cm.
Area of two circular bases: [tex]2\cdot 2^2\pi=8\pi=25.1327412287[/tex]
Area of side: [tex]7.8\cdot 2\cdot 2\cdot \pi=31.2\pi=98.017690792[/tex]
Therefore, the cylinder's total surface area is [tex]25.1327412287+98.017690792=123.150432021\approx \boxed{123.2\:\mathrm{cm^2}}[/tex]
Part A:
The total surface area of a rectangular prism with width [tex]w[/tex], length [tex]l[/tex], and height [tex]h[/tex] is given by [tex]2(hl+hw+lw)[/tex].
Thus, the total surface area of the rectangular prism is [tex]2(4\cdot 8+4\cdot 3+8\cdot 3)=2(32+12+24)=2(68)=\boxed{136\:\mathrm{m^2}}[/tex]
round 1.3185 to 2 significant figures
please help asap!!!!!1
Answer:
D.1
Step-by-step explanation:
the probability of getting the prize by opening a door is 1 out of 5
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross section formed?
I have attached a picture of the double cone.
I have also attached the options missing.
Answer:
Option B is correct
Step-by-step explanation:
From the image of the double given, when we cut a section vertically through the centre where the tips of the cones meet, when we look at the cut section, we will not see curves but straight lines meaning that the top and bottom will be horizontal lines and not curves.
Also, the meeting point of the two cone tips will remain the same.
Looking at the options, the only one that fulfills the condition is option B.
Answer:
B
Step-by-step explanation:
I have to record myself answering questions for my math class and I really need help. I will reward 36 points.
How can you tell if 2 functions are inverses of each other?
Answer:
If the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions. But, we need a way to check without the graphs, because we won't always know what the graphs look like! then f(x) and g(x) are inverse functions.
Step-by-step explanation: Hope this helps :)
What is 1/19 closest to, 1/2, 1 or 0?
And what is 8/9 close to, 1/2, 1 or 0?
Answer:
Step-by-step explanation:
first one is-0
second-1
Plz help me out, i dont really understand this question, WILL GIVE BRAINLIEST TO THE MOST EDUCATED!!
Answer:
its 44 the answer
Step-by-step explanation:
I hope this helps
Answer:
44
Step-by-step explanation:
Basically, just substitute t for the value you were given, in this case, 4.
3*4^2 - 4
Do exponents first:
3*16 - 4
Multiply next
48-4
Subtract
44
A change in a figure that produces an image in a different position or orientation is known as a
a) translation
b) transformation
c) reflection
d) rotation
can someone pls pls help me?
Answer:
how
Step-by-step explanation:
Find the domain of f/g.
A.
B.
C.
D.
Answer:
C. All real numbers except [tex]\frac{3}{4}[/tex].
Step-by-step explanation:
The domain of all polynomials is the set of all real numbers, whereas the domain of rational-polynomic functions are the set of all numbers expect for those values of [tex]x[/tex] so that denominator becomes zero. Hence, we need to solve for [tex]x[/tex] from following expression:
[tex]4\cdot x - 3 = 0[/tex]
[tex]4\cdot x = 3[/tex]
[tex]x = \frac{3}{4}[/tex]
The domain of the function is all real numbers except [tex]\frac{3}{4}[/tex]. (Right answer: C)
The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?
Answer:
68
Step-by-step explanation:
Let x=adult tickets and y=child tickets
1) 15x+11y=1889
2) x+y=147
multiply equation 1 by -1/11 on both sides to get:
-(15/11)x-y=-171.73
add new equation with equation 2 to get
-4/11x=-24.73
Isolate x to get:
x=67.99999
Round up to get 68 adult tickets
Paige ran four miles a day last week. This week, she ran five miles a day. How did adding a mile most likely affect her workout?
Answer:
A. It increased both her intensity and her workout time.
Step-by-step explanation:
A. It increased both her intensity and her workout time.
B. It decreased her intensity but increased her workout time.
C. It increased her intensity but decreased her workout time.
D. It decreased both her intensity and work out time
Last week = 4 miles per day
This week = 5 miles per day
Intensity refers to how hard one exercises.
Workout time refers to how long one exercises the body.
By adding a mile, she has increased how hard she exercises her body (intensity))
And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day