Answer:
4/6 = 2/3
Step-by-step explanation:
I know this because she ordered 5/6 of a sack of brown rice and 1/6 of a sack of white rice. Then, I did 5/6 - 1/6 = 4/6, which is also equal to 2/3.
The window shown is the shape of a semicircle with a radius of 6 feet. the distance from f to e is 3 feet and the measure of arc b c = 45°. find the area of the glass in region bcih, rounded to the nearest square foot. ft2
The area of the glass in the region BCIH, rounded to the nearest square foot is 11.
The radius of the semicircle is 6 feet and the distance from F to E is 3 feet. The measure of an arc is 45°.
What is the area of the sector?
First, the sector is the part of the circle made of the arc of the circle along with its radii. The area of the sector of a circle is represented by
The angle of the sector is 360°
The area of the circle [tex]\rm \pi r^{2}[/tex] and the angle is ∅
The area of the sector, [tex]\rm A= \frac{\Theta}{360} \times\pi r^{2}[/tex]
Here, the area of the glass in region BCIHis the difference between the area of the sector of region BCIGH and the region HIG.
The area of the region BCIH
[tex]\rm = \frac{\ 45}{360} \times\pi (6^{2} -3^{2} )[/tex]
[tex]\rm = \frac{\ 1}{8} \times\pi (27 )[/tex]
[tex]\rm = 10.5\; ft^{2}[/tex]
Hence, The area of the glass in the region BCIH, rounded to the nearest square foot is 11.
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Answer:
11 ft2
Step-by-step explanation:
hope this helps
The graph of y = square root of x has been translated to the right 3 units and down 9 units. What is the equation of the translated graph?
A. y = 3 + +9
B. y = 9-3+3
C. y=3-√9 - x
D. y = -9+VT - 3
The translated function is:
g(x) = √(x - 3) - 9
How to find the translation?
The transformations used here are:
Horizontal translation:
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
If N is positive, the shift is to the left.If N is negative, the shift is to the right.Vertical translation:
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
If N is positive, the shift is upwards.If N is negative, the shift is downwards.So, if we have a translation of 3 units right and 9 units down, this would be written as:
g(x) = f(x - 3) - 9
Replacing f(x) by the actual function we get:
g(x) = √(x - 3) - 9
If you want to learn more about translations, you can read:
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A pound of blueberries costs $3.50 and a pound of oranges cost $2.50. Whats the total cost of 0.6 pounds of blueberries and 1.8 pounds of oranges?
HELP PLEASE!!
Answer:
$6.60
Step-by-step explanation:
1 pound of blueberries = $3.50
if 0.6 pound = 3.50 × 0.6 = 2.10
1 pound of oranges = $2.50
if 1.8 pound = 2.50 × 1.8 = 4.50
Total = $4.60
The graphs of y=f(x) and y=g(x) are shown.
indicate whether each statement about these graphs is true or false
Answer:
i think it it false, true, false
hope that's right lol
Step-by-step explanation:
Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
Don't Spam
1244.57 cm²
Step-by-step explanation:
Given:
Slant height (l) is 21m Diameter (d) is 24mHence, radius will be :
➝ diameter/2
➝ 24/2
➝ 12m
[tex] \: [/tex]
To Find:
Total Surface Area (TSA) of the cone.Solution:
As, we know:
[tex] \star \quad{ \underline{ \green{ \boxed{TSA_{(cone)} = \pi r( l+r ) }}}} \quad\star \quad[/tex]
Here,
π = 22/7 r = 12m l = 21m[tex] \rightarrow \: \frac{22}{7} \times 12 \: (21 + 12)[/tex]
[tex] \rightarrow \: \frac{22}{7} \times 12 \: (33)[/tex]
[tex]\rightarrow \: \frac{8712}{7} {cm}^{2} [/tex]
Therefore, Total Surface Area of Cone is 8712/7 cm² or 1244.57cm².
_____________________Additional Information:[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]
Select the point on the number line that best approximates the location of √14
Answer:
between 3 and 4 around 3[tex]\frac{3\\}{4}[/tex]
Answer: 3.5
Step-by-step explanation:
You want to choose two numbers that have perfect roots. One above 14, and one below 14. The nearest two perfect roots to 14 is 9 and 16. We have the following inequality:
[tex]\sqrt{9} < \sqrt{14} < \sqrt{16}[/tex]
[tex]3 < \sqrt{14} < 4[/tex]
This means the square root of 14 is somewhere between 3 and 4. A good estimate would be 3.5
15. Which of the following is a composite number?
O A. 1
O B. 63
O C. 19
O D.O
Answer:
The answer is B.63
Explanation:
63 is a composite number because a composite numbers is any positive number which is not a "prime number"
PLEASE HELP ASAP ILL GIVE BRAINLIEST IF YOU SHOW THE STEPS!! You have to look at the picture for the questions!!
Answer:
3. f = gh
4. r = 1/s³
5. y = x[tex]\sqrt{z}[/tex]
6. m = n²/p
7. Inverse variation, s is constant
8. Direct Variation, x is constant
9. joint variation, q and r are both constants
10. Direct variation, r is constant
11. Joint variation, r and h are both constants
12. Inverse variation, x is constant
13. y = kx
17.5 = 21k
k = 21/17.5
y= (21/17.5)*39
y = 46.8
14.
m = kn
209 = 22k
k = 209/22
361 = (209/22)n
n = (361*22)/209
n = 38
Given the circle with the equation (X - 32 + y2 = 49, determine the location of each point with respect to the graph of the
circle. In your final answer, state whether each point is on the Interior, exterior, or circumference of the circle. Include
your calculations as proof of each point's location.
A. (-1,1)
B. (10,0)
C. (4, -8)
Answer:
To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:
(x-xc)^2+(y-yc)^2=r^2
where (xc,yc) is the centre of the circle, and r=radius of the circle.
If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle. If the left-hand side is equal to r^2, the point is ON the circle.
Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.
For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7
(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2
A. (-1,1),
(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49 [inside circle]
B. (10,0)
(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49 [on circle]
C. (4,-8)
(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49 [outside circle]
Step-by-step explanation:
Angle Pairs (Lines cut by a Transversal)
What are pair relation exists between angle 7 and angle 4? Use the picture as a reference.
_ Alternate Interior Angles
_ Alternate Exterior Angles
_ Same-Side Interior Angles
_ Same-Side Exterior Angles
_ Corresponding Angles
Answer:
same side interior angles
3. What are pair relation exists between angle 7 and angle 4?
Corresponding angles.Explanation :
A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.⠀
Helllp X _____ X
What Is : The Smallest Perfect number
Answer : 6
Explanation : 6 Is The Smallest Number Which Is The Sum Of 1, 2, And 3. Other Perfect Numbers Are 28, 496, And 8,128.
Answer: 6
Step-by-step explanation: is A Perfect Number
What was your dream job as a kid?
Mine was to be a ballerina. Please tell me, I am making a survey for school.
Answer:
Mine was a fashion designer or a model. The model part died out because of my insecurities. But Fashion design is still something I am interested in,
Step-by-step explanation:
Evaluate the expression for the given value of x.
4x + 6 for x = 7
The solution is
In ABC, the measures of the angles A, B, and C, respectively, are in the ratio 1:6:8. Find the measure of each angle.
Answer:
180/15=12 12x6=72 12x8=96... 12, 72, 96?
3 x 107 + 2 x 104 + 1 x 102 + 8 x 10 =
Cuanto es?
doy corona y 11 pts
Answer:
Es 711
Hope this helps!
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If a trapezoid has an area of 60 m² and bases of 2 m and 6 m, what's its height?
Given :
Base = 2 m and 6 m.Area = 60 m².⠀
To find :
The height.⠀
Solution :
⠀
We know,
[tex]{ \longrightarrow{\qquad \sf{ \pmb {\dfrac{1}{2 } \times (b_{1} + b_{2}) \times h = {Area_{(Trapezoid)} } }}}}[/tex]
⠀
Now, Substituting the values :
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times (2 + 6) \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{1}{2 } \times 8 \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ {\dfrac{8}{2 } \times h = {60 } }}}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ 4 \times h = {60 } }}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ h = { \dfrac{60}{4} } }}}[/tex]
⠀
[tex]{ \longrightarrow{\qquad \sf{ \pmb { h = {15} } }}}[/tex]
⠀
Therefore,
The height of the trapezoid is 15 m .y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation
Answer:
b = 14
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )
m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then
y = 2x + b
to find b substitute either of the 2 points into the equation
using (2, 18 )
18 = 4 + b ⇒ b = 18 - 4 = 14
Leslie is saving for a new $500 iPad. She currently has $125. If she saves $15 per week, how long must she wait to save at least $600 to cover tax and extras? Let x represent the number of weeks
Answer:
x=31.66
Step-by-step explanation:
1st i did 600-125=475
so now i have to do 475 divided by 15
that is 31.66
so she has to wait 31.66 weeks to get the $475 dollars she needs
The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the third side of the triangular playground?
Answer: 7 feet
Step-by-step explanation: I did it trust
The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
What is triangle inequality theorem?
Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
(a+b)>c
(b+c)>a
(c+a)>b
There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.
Suppose the length of the measurement of the third side of the triangular playground is c meters.
As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,
[tex]24+30 > c\\54 > c[/tex]
For the sides 24 ft and c ft,
[tex]24+c > 30\\c > 30-24\\c > 6[/tex]
Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.
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Mitchell’s cell phone provider’s phone line is busy 80% of the time. In 12 calls, what is the probability that it will be busy at least 10 times?
Answer:
Step-by-step explanation:
Binomial distribution: [tex]X \sim B(n,p)[/tex]
where n is the number and p is the probability
Given:
n = 12p = 0.8[tex]X \sim B(12,0.8)[/tex]
P(X ≥ 10) = 1 - P(X ≤ 9)
= 1 - 0.4416542515...
= 0.5583 (4 dp)
From a hot-air balloon, Madison measures a 36^{\circ}
∘
angle of depression to a landmark that’s 785 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 570.3 feet
Angle of elevation and depressionGiven the following parameters
The angle of depression = 36 degrees
Base distance = 785 feet
Requiredvertical distance above the ground (H)
Using the SOH CAH TOA identity
tan 36 = H/785
H = 785tan36
H = 570.3 feet
Hence the balloon’s vertical distance above the ground is 570.3 feet
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13. Rearrange this formula to make x the subject.
Y=2x/5
Step-by-step explanation:
[tex]y = \frac{2x}{5} [/tex]
crossmultiply
[tex]5y = 2x[/tex]
divide both side by 2, to make x alone
x = 5y / 2
pls give brainliest
Which method is the best way to solve the system shown below? 3x + 4y = 12 3x - 4y = 5
Answer:
[tex]3x + 4y = 12 \\ 3x - 4y = 5 \\ 6x = 17 \\ x = \frac{17}{6} \\ 3 \times \frac{17}{5} - 4y = 5 \\ 51 \div 5 - 4y = 5 \\ \\ 10.2 - 5 = 4y \\ y = \frac{5.2}{4} [/tex]
Ahmad drew a blueprint of a rectangular garden. The blueprint is 7 inches long, and the actual garden is 56 inches long. How many times longer is the actual garden than Ahmad's blueprint?
Answer:
8 times longer
Step-by-step explanation:
The actual garden is 8 times the blueprint.
Reasoning? 56/7=8
How to check:
Use inverse operations:
7*8=56
A town doubles its size every 60 years. If the population is currently 1,100, what will the population be in 180 years ?
Answer: The population would be a total of 8,800 people.
Step-by-step explanation: Currently speaking, a town's population is 1,100 people in total. Since it doubles every 60 years, it would double 3 times in total, because 180 / 60 equals 3. 2 x 1,100, then 2 x 2,200, and then 2x 4,400, gives you 8,800.
Have a great day! :)
what is -12/5+|- 13/6| + (-3 2/3)
Answer: -39/10 alternative forms : -3 9/10, -3.9
Step-by-step explanation:
(will mark brainliest to whoever responds!) PLEASE HELP ME OUT :)
Answer:
Step 3 is wrong
Step-by-step explanation:
[tex]x_1=\frac{-\left(-6\right)+14}{2\cdot \:5},\:x_2=\frac{-\left(-6\right)-14}{2\cdot \:5}[/tex]
is how she shouldve put it in
At the start of 2014 Lucy's house was worth £200 000
The value of the house increased by 5% every year.
Work out the value of her house at the start of 2017.
Answer:
200000 x 1.05^3=231525
Step-by-step explanation:
X 1.05 because the price is increasing by 5% and ^3 because there are three years between 2014 and 2017
Which transformation would make the quadratic parent function narrower and shift it down 5?
g(x) = 3x² - 5
g(x) = 10x² + 5
g(x) = 1/2x² - 5
g(x) = 1/3x² + 5
Answer:
(a) 3x² -5
Step-by-step explanation:
The shift down is accomplished by subtracting 5 from the function value. (Eliminates choices B and D.) The function graph is made narrower by a vertical expansion or a horizontal compression. Either way, the coefficient of the x² term will be greater than 1. (Eliminates choice C.)
The transformed function g(x) = 3x² -5 will be narrower and shifted down from the parent function.
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