Answer:
[tex]2m[/tex]
Step-by-step explanation:
Alrighty let's do this.
We know that formula for the Area of a triangle is:
[tex]A = \frac{1}{2}bh[/tex]
They give us the area as [tex]6m^2[/tex], so let's include it in the equation.
[tex]6 = \frac{1}{2}bh[/tex]
Now we reach a stage where we have 2 unknown variables! That means we can't solve it in its current state. So the idea you should have in cases like these where you have 2 or more unknown variables is, "Can I represent this one variable in terms of another variable?" In this case you can do exactly that. You can represent height in terms of length of the base. We are told the height of the triangle is 4 meters less than the base. That is telling us that [tex]h = b-4[/tex]
So replace [tex]h[/tex] in the equation with [tex]b-4[/tex].
You will now get:
[tex]6 = \frac{1}{2}b(b-4)[/tex]
Now we can work towards solving. Let's get simplifying.
[tex]12 = b(b-4)\\12 = b^2 - 4b\\[/tex]
bring everything to one side so we can make a quadratic and factor:
[tex]0 = b^2 - 4b - 12\\0 = (b-6)(b+2)\\\\b = 6\\b\neq -2[/tex]
We get that [tex]b=6[/tex].
Since we need the height of the triangle we'll need to call back on what h is. We found earlier that [tex]h = b - 4[/tex], so to find h, we just sub in our b value into that.
[tex]h = (6) - 4 = 2[/tex]
We find that [tex]h=2[/tex]
Which graph does not pass the vertical line test
Answer:
graph 1
Step-by-step explanation:
two points have the same X value
Find the area if the trapezoid. THANK YOU!
Answer:
4x^3 - 22x^2 + 6x + 20
Step-by-step explanation:
((b1+b2)/2)(h)
FIRST TO ANSWRR GETS 30 POINTS!
A jewellery shop is having a sale.
A bracelet is now reduced to £420.
This is 70% of the original price.
a) Work out the original price of the bracelet.
A ring is now reduced to £840.
This is a saving of 40% of the original price.
b) Work out the original price of the ring.
Answer:
a) £600
b) £1400
Step-by-step explanation:
a) Set up a ratio of price to percentage of original price.
Let x = original price
⇒ £420 : 70 = £x : 100%
[tex]\sf \implies 420 : 70 = x : 100[/tex]
[tex]\sf \implies \dfrac{420}{70}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{420}{70}[/tex]
[tex]\sf \implies x=600[/tex]
Therefore, the original price of the bracelet was £600
b) Set up a ratio of price to percentage of original price.
If the ring is reduced by 40% then it is now 60% of the original price, since 100% - 40% = 60%
Let x = original price
⇒ £840 : 60% = £x : 100%
[tex]\sf \implies 840 : 60 = x : 100[/tex]
[tex]\sf \implies \dfrac{840}{60}=\dfrac{x}{100}[/tex]
[tex]\sf \implies x=100\cdot\dfrac{840}{60}[/tex]
[tex]\sf \implies x=1400[/tex]
Therefore, the original price of the ring was £1400
NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?
Answer:
300 text messages sent or received
Step-by-step explanation:
.16 x 300 = 48 which is the same amount as the unlimited texting
Answer:
300
Step-by-step explanation:
this is the answer to this question
PLEASE PLEASE PLEASE HELP ME YALL‼️‼️‼️‼️‼️
There are four boys in a class of ten students. Four students are to be randomly selected
(without replacement) to help in the lunch line. Determine the probability that all four
students are boys.
Answer:
Hi .. im happy to help
answer is 0.033
Step-by-step explanation:
P = C(4,4)÷C(10,4)
P = 1 ÷ 30
[tex]p = \frac{1 }{30} [/tex]
p = 0.033
WILL GIVE BRAINLIEST!!!JUST HELP PLEASE!
Answer:
uhhh… i dunno
Step-by-step explanation:
sry i cannot help u w/ this
Can u just put brainliest for this pls?
Thanks!
Answer:
0.5
Step-by-step explanation:
x + y = 1
y = 1 - x
f(x) = 1 - x
it is from 0 to 1
integral from 0 to 1 of (1 - x) dx
integral 1 dx - integral x dx
integral 1 dx = x
integral x dx = x²/2 by power rule
so the final integral is x - (x²/2)
now from 0 to 1
1 - (1²/2) - 0 - (0²/2)
1 - (1²/2) = 0.5
0 - (0²/2) = 0
0.5 - 0 = 0.5
(hope I could help and sorry about lateness :))
Is the figure defined by points H, I, J, and K a rhombus?
Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are parallel, and all sides are congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, opposite sides are parallel, but all sides are not congruent.
No, HIJK is NOT a rhombus. Based on the coordinates, all sides are congruent, but opposite sides are not parallel.
Yes, HIJK is a rhombus. Based on the coordinates, opposite sides are not parallel, and all sides are not congruent.
Answer:
b
Step-by-step explanation:
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
Step-by-step explanation:
first identify the common difference
The first term which i will define by u⁰=-27
u¹=u⁰+(1)d where d is the common difference and u¹ is the second term
u¹=-27+d
-11=-27+d
d=27-11=16
The 72nd term would be u⁷¹ since we started from u⁰ as our first term:
Use the explicit relation given by:
u(n)=u⁰+(n)d
u(71)=-27+71(d)
u⁷¹=-27+71(16)
u⁷¹=-27+1136
u⁷¹=1109
Can someone please help me with these questions
Answer:
easy
bro
Step-by-step explanation:
so you have to calculate the equation
Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
x2 + (y-2)2 = 49
(3/5)2 + (4 - 2)2 = 49
45+ 4 = 49
the point (375,4) lies on the circle
with radius 7 and centerd at (0,-2). what is her error
The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true
Latansha's equation of the circle is wrong
How to determine her error?The given parameters are:
Center = (a,b) = (0,-2)
Radius, r = 7
The equation of a circle is:
[tex](x - a)^2 + (y - b)^2 = 0[/tex]
This gives
[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]
Rewrite as:
[tex]x^2 + (y + 2)^2 = 0[/tex]
In Latanya's first step, we have:
[tex]x^2 + (y - 2)^2 = 0[/tex]
By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong
Hence, Latansha's error is that she determine the equation of the circle, wrongly.
Read more about circle equations at:
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Erin wants to fill the jewelry box with beads. One package of beads is 120 cubic inches. How many packages of beads should Erin purchase to fill the jewelry box completely?
Answer:
9 packages of beads
Step-by-step explanation:
volume of cuboid = area of base × height
⇒ volume of jewelry box = (15 × 12) × 6
= 180 × 6
= 1080 in³
Given:
1 package of beads = 120 in³Number of packages of beads = volume of box ÷ volume of 1 package of beads
⇒ Number of packages of beads = 1080 ÷ 120
= 9
16=2(-8t-1)(t-2) solve for t
hi there! so here's my answer
[tex] \rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]
Step-by-step explanation:
[tex] \color{gray} \tt \: 16 = 2( - 8t - 1) \times (t - 2)[/tex]
calculate the difference[tex]\color{gray} \tt \: 16 = 2(- 9)(t - 2)[/tex]
multiplying an odd number of negative terms makes the product negative[tex]\color{gray} \tt \: 16=^ \ 2*9(t-2)[/tex]
multiply the numbers[tex]\color{gray} \tt \: 16=-18 (t-2)[/tex]
distribute - 18 trough the parentheses[tex]\color{gray} \tt \: 16 = - 18t + 36[/tex]
move the variable to the left hand side and change its sign[tex]\color{gray} \tt \:16+18t=36[/tex]
move the constant to the right-hand side and change its sign[tex]\color{gray} \tt \:18t=36-16 [/tex]
substract[tex]\color{gray} \tt \:18t=20 [/tex]
by both sides of the equation by 18[tex] \:\rm \tiny\color{green}t = \frac{10}{9} \\ \\ \tt \: in \: alternative \: form \\ \\ \color{yellow} \rm \: t = 1 \frac{1}{9} \: \: \: or \: \: t = 1.1[/tex]
hope it helps
Which decimal is equivalent to 41/100?
Answer:
I believe its 0.41
Step-by-step explanation:
not 100% sure
hope this helps and is the correct answer : )
Four eighths of kelly’s beads are red, 18 are white, and the rest are blue.
what fraction of kelly’s beads are blue?
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
40.quadrilateral efgh was translated 3 units to the left and 8 units up to create quadrilateral e' f'g'h'. which
rule describes this transformation
Answer:
translation
Step-by-step explanation:
Simplify:
4(r + 1) + 3r
A) 4r + 4
B) 5r + 1
C) 7r + 1
D) 7r + 4
Answer:
[tex]\boxed{\sf{D. \quad 7r+4}}[/tex]Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow:\sf{A(B+C)=AB+AC}[/tex]
⇒ 4(r+1)+3r
To multiply, first expand the form.
⇒ 4*r=4r
⇒ 4*1=4
Rewrite the problem down.
⇒ 4r+4+3r
Combine like terms.
⇒ 4r+3r+4
Solve.
Add similar to elements.
Add the numbers from left to right.
⇒ 4r+3r=7r
⇒ = 7r+4
Therefore, the correct answer is D. 7r+4.I hope this helps you! Let me know if my answer is wrong or not.
Find the surface area and volume of the figure.
(Round to the nearest teeth as needed)
Answer:
Volume;
Let's find the volume of the hemisphere above,
Formula for hemisphere volume:
V = 2/3πr
Where pi(π) is 22/7 or 3.14, and 'r' is the radius.
(extra info:) D/2 = radius
So, diameter in this case is 6,
6/2 = 3 is the radius.
Replace values:-
V = 2/3πr
V = 2/3 x 3.14(3)
V = 2/3 x 9.42
V = 18.84/3
V = 6.28 feet is the volume for the hemisphere.
Now the cylinder's volume,
Cylinder volume formula:
V = π[tex]r^{2}[/tex]h
Where pi(π) is 22/7 or 3.14, 'r' is the radius which is being squared, and 'h' is the height.
Replace values (we figured out radius is 3);
V = π[tex]r^{2}[/tex]h
V = 3.14(3^2) x 10
V = 3.14(9) x 10
V = 28.26 x 10
V = 282.6 feet is the volume of the cylinder.
Add our volumes:-
6.28 + 282.6
= 288.88 feet is our volume.
Surface area;
Now the surface area formula of the cylinder is:
SA = 2πrh(lateral area) + 2π[tex]r^{2}[/tex](area of circle)
Replace values:
SA = 2πrh + 2π[tex]r^{2}[/tex]
SA = 2(3.14) x 10 + 2(3.14) x 3^2
SA = 6.28 x 10 + 6.28 x 9
SA = 62.8 + 56.52
SA = 119.32 is the surface area of the cylinder.
Now the surface area formula of the hemisphere;
SA = 3πr²
Replace values;
SA = 3πr²
SA = 3(3.14) x 3^2
SA = 9.42 x 9
SA = 84.78 is the surface area of the hemisphere.
Add the areas;
119.32 + 84.78
= 204.1 feet is the surface area.
Maggie takes three electives art, Spanish and creative writing She calculated the mean absolute deviation of the points she earned throughout the year in each class art: mean absolute deviation of 2.1 Spanish: mean absolute deviation of 0.8
creative writing: mean absolute deviation of 2.7
In which elective were her scores the most spread out?
creative writing
art
Spanish
Creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
What is the Mean Absolute Deviaton?The mean absolute deviation is a measure of variability of a data distribution, which describes the average distance of each data value and the mean of the data set.
The larger the mean absolute deviation, the more spread out the data points are from the mean of the data set.
Therefore, since creative writing had the largest mean absolute deviation of 2.7, therefore, the elective where her scores are most spread out is: creative writing.
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Answer: creative writing
Step-by-step explanation: I did k12 and got 100% Good Luck i hope this helps man. please give me brainiest I'm trying my best to help everyone. thanks :)
) Andy is walking her dog Sherman on a local trail and Sherman falls 100 feet down a ravine. Andy is overcome with emotion and needs your help to save her dog. (Don’t mess this up!) You can repel down and successfully rescue Sherman, but you must first calculate how much rope is needed.
(a) Fill in your height here rounded to the nearest foot: ___________________
(b) Choose a measure for angle A between 31° and 51° (whole numbers only): ____________
Based on the calculations, the height of this ravine is equal to 143.95 feet.
Given the following data:
Height of ravine = 100 feet.How to calculate the length of rope.First of all, we would assign a variable to the height of the ravine, which is 100 feet tall.
Let the height of ravine be h.
Note: We would choose 46° as a measure for angle A.
From the image attached, we would determine the length of the hypotenuse by using Cosine trigonometric:
[tex]Cos A=\frac{Adj}{Hyp} \\\\Cos 46=\frac{100}{h} \\\\0.6947=\frac{100}{h}\\\\h=\frac{100}{0.6947}[/tex]
h = 143.95 feet.
Read more on trigonometry functions here: https://brainly.com/question/4515552
base?
height?
Volume?
Answer: i'm pretty sure the base is 14cm, the height is 7cm, and the volume is 49 cm2
Step-by-step explanation:
for the base, i just added up 6cm and 8cm to get 14cm, the height was already 7cm, and for the volume, its (b*h)/2, since its a triangular 3d object, so (7*14)/2=49cm2
let f(x)=3x+4 and g(x)=2x-5 find (f+g)(x)
Answer:
(f+g)(x) = 5x - 1
Step-by-step explanation:
Let f(x) = 3x + 4 and g(x) = 2x - 5 find (f+g)(x)
f(x) = 3x + 4 and g(x) = 2x - 5, find (f+g)(x)
(f+g)(x) =
f(x) + g(x)
3x + 4 + 2x - 5 (combine like terms)
5x - 1
Therefore, (f+g)(x) = 5x - 1
Hope this helps!
Answer:
5x -1
Step-by-step explanation:
(3x + 4) + (2x - 5) = 3x + 4 + 2x - 5 = 3x + 2x + 4 - 5
5x - 1
more questions help me
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The distance covered by the spy in t hours will be 60t while the special agent's distance is 90t.
How to calculate the distance?The distance covered by the spy in t hours will be calculated thus:
= 60 × t
= 60t
The distance covered by the special agent in t hours will be:
= 90 × t
= 90t
The difference in the distance between them every hour will be:
= 90t - 60t
= 30t
The distance between the spy and special agent when the chase begins will be:
= (2 × 60mph) - 0
= 120m - 0
= 120m
The time taken to catch the spy will be:
120 + 60t = 90t
90t - 60t = 120
30t = 120
t = 120/30 = 4
The special agent will catch the spy in 4 hours.
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Answer:
A: 60t
B: 90t
C: 30 mph
D: 120 miles away
E: 4 hours
F: 120 mph
Step-by-step explanation:
help me pleaseeeeeeeeee
for 2 points A(xa;ya) and B(xb;yb)
the slope is (yb - ya) / (xb - xa)
here
the slope = 4 = (17-r) / (4-(-1))
(17-r) / 5 = 4
17 - r = 20
r = 17 - 20
r = - 3
point (-1 ; -3)
hi, please answer the question, show your work
Step-by-step explanation:
3200 = 100%
2848 = ?%
2848 ÷ 3200 then × 100
= 89%
so 2848 = 89%
Answer:
89%
Step-by-step explanation:
3200/2848=0.89
To turn into a percentage multiply by 100
So 0.89*100=89%
Factor this number sentence for me please
3−12x
Answer: 3(1-4x)
Step-by-step explanation: if you distribute the answer, you will get 3-12x.
Have a nice day!
HELP ASAP
10. A store is selling its display furniture at a discount of 35%. How much would be paid for
a chair regularly selling for $195.95 if sales tax is 8%?
Molly read 75 pages of the latest thriller mystery novel in 30 minutes. What was her unit rate?
The expression of the unit rate was defined with all parameters rightly inputed the Molly's unit rate is 2.5 pages per minutes
Speed and RateGiven Data
Number of Pages read = 75 pagesTime taken = 30 minutesRequired = rateThe speed/ rate is defined as the number of pages read per minutes passed
Hence the expression for the unit rate is given as
Unit Rate = Number of pages/Time Taken
Substituting our given Parameters
Unit Rate = 75/30
Unit Rate = 2.5 pages per minutes
Learn more about speed here:
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