Answer:
56
Step-by-step explanation:
To find the area of a rectangle we have the foruma A=WxL.
But we already have the area and length so we can plug that in
5488=Wx98
Now its an algebreic expression.
SInce its multiplying we do the opposite, so we divide 98 on both sides.
98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.
A=56x98
A=5488
I need help with this
Answer:
Step-by-step explanation:
Remark
The longer the line, the larger the arc is. So
How to put in order.
It can be shown that the angle opposite the chord is related to the arc length by α = arc length / r Since r never changes, you are left with
α = k * chord length.
So what you conclude is that the larger the angle, the larger the arc length.
The largest angle is Q so the length of the arc opposite Q is the largest. The other two lines are handled the same way.
Answer:
Arc length PR is the largest.Arc Length PQ is the second largest.Arc Length RQ is the Smallest.answer these questions and show working out.
(extra points for all)
Answer:
See below
Step-by-step explanation:
We can find the Highest Common Factor (HCF) by the prime factorization of the terms.
===============================================================
a) 4 and 5
⇒ 4 = 4 x 1
⇒ 5 = 5 x 1
⇒ HCF (4, 5) = 1
=============================================================
b) 8 and 13
⇒ 8 = 2 x 2 x 2 x 1
⇒ 13 = 13 x 1
⇒ HCF (8, 13) = 1
=============================================================
i) 80 and 120
⇒ 80 = 40 x 2
⇒ 120 = 40 x 3
⇒ HCF (80, 120) = 40
Surface area of cubes and rectangular prisms
Answer:
130 square yards
Step-by-step explanation:
5 x 4 = 20
5 x 5 = 25
20 x 4 = 80
25 x 2 = 50
80 + 50 = 130
The surface area for this cube and rectangular prisms is 75 cubic square inches.
How do you find the surface area of a square and rectangular prism
Surface area of a prism is the sum of the area of the 2 polygonal bases and the area of the lateral faces. The surface area of a prism is measured in terms of square units. The Surface Area of a Prism Formula is given as, Surface Area Of A Rectangular Prism is A = 2 (wl + lh + hw)
B x W x HSo [tex]5[/tex] · [tex]4[/tex] · [tex]5=75[/tex] [tex]cubic[/tex] [tex]inches[/tex]
Therefore, The surface area for this cube and rectangular prisms is 75 cubic square inches.
3. Seth uses a bowl to fill a container with soil. The
bowl holds 3/4 cup of soil. How many cups of soil
does the container hold if it takes 13 full bowls of soil
to fill it?
b) f(x) = 3 |x – 41| + 5
Domain:
Range:
Triangle XYZ is equilateral with vertices located on circle W.
Circle W is shown. Line segments W Y, W Z, and W X are radii. Lines are drawn to connect the points on the circle to form a triangle. Sides Z X, X Y, and Z Y are congruent.
Which measurements are correct? Select two options.
mArc X Y = 60°
mArc Y Z = 120°
mArc Z X = 180°
m∠XWZ = 60°
m∠YWZ = 120°
Based on the inscribed angle theorem, the measurements that are correct are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that the measure of an inscribed angle in a circle equals the twice the measure of the intercepted arc or twice the measure of the central angle.
In the circle given, since the triangle is an equilateral triangle, therefore, all its angles each equals 60°. Therefore:
m(XY) = m(YZ) = m(ZX) = 2(60°) = 120°.
The central angles, m∠XWZ = m∠XWY = m∠YWZ = 120°.
Therefore, the correct measurements are: B. m(arc YZ) = 120°; E. m∠YWZ = 120°.
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
#SPJ1
Answer:
B&E
Step-by-step explanation:
Trust me bruv
If x + 1 and x-1 ghe factors of f (x) = x ^ 3 + 2ax + b calculate the valves of a and b. using theses values of and by factorise f(x) completely.
Since both x + 1 and x - 1 are factors of f(x), we have the factorization
x³ + 2ax + b = (x + 1) (x - 1) (x - b)
where the last root must be x = b in order that b is the constant term in the cubic.
Expanding the right side and equating coefficients gives
x³ + 2ax + b = x³ - bx² - x + b
which tells us
-b = 0 ⇒ b = 0
2a = -1 ⇒ a = -1/2
Then we have
f(x) = x³ + 2 (-1/2) x + b = x³ - x
or
f(x) = x (x + 1) (x - 1)
The graph of Fx), shown below, resembles the graph of G(x) = x, but it has
been changed somewhat. Which of the following could be the equation of
Fx)?
5
GO) = x2
5
FOO = ?
+
O A. F(x) = -x2 - 4
O B. FX) = x2 - 4
O C. Fx) = -(x - 4)2
O D. Fx) = -(x+4)2
Using translation concepts, it is found that the equation of F(x) could be given by:
A. F(x) = -x² - 4.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function g(x) = x² was reflected over the x-axis and shifted 4 units down, hence f(x) is given by:
A. F(x) = -x² - 4.
More can be learned about translation concepts at https://brainly.com/question/4521517
#SPJ1
A car's speed is 80 2/3 miles in one hour. Going at the same speed, how far (in miles) will it travel in 2 1/4 hours?
Answer:
181.5 miles
Step-by-step explanation:
80 2/3 m/hr * 2 1/4 hr = 181. 5 miles
which graph represents y=3x-5
Answer:
(it won't let me paste a graph here)
(but it a / line on the graph.)
Step-by-step explanation:
Use Desmos Graphic Calculator, plot this equation in and it should show up a graph of that. : )
Sarah makes home-made jewelry sets. Each jewelry set includes a necklace, a bracelet and two earrings. Given below are the number of beads Sarah adds to each type of jewelry.
Necklace: 48
Bracelet: 19
Earrings: 6 (both earrings combined)
What is the largest number of jewelry sets she can make with 7100 beads?
Based on the number of beads that are needed to make a jewelry set, the largest number of jewelry sets that Sarah can make with 7,100 beads is 97 jewelry sets.
What amount of jewelry sets can Sarah make?First find the total number of beads used per jewelry set:
= Necklace + Bracelet + Earrings
= 48 + 19 + 6
= 73 beads
If she had 7,100 beads, the sets she could make would be:
= Total number of beads / Beads per set
= 7,100 / 73
= 97 jewelry sets
Find out more on calculations involving largest producible quantities at
#SPJ1
In how many ways can a teacher arrange 5 students in the front row of a classroom if there are 20 students in the class
Answer:
4 times
Step-by-step explanation:
because there's only enough space for that many in each row.
Marcus is rolling a number cube will show 10 is?
Answer:
no
Step-by-step explanation:
The cube has only 6 sides,
so it has only 6 numbers : 1, 2, 3, 4, 5 & 6.
write the decimal equivalent for this fraction 7/100
Answer:
0.07
Step-by-step explanation:
To convert from fractions into decimals, you have to divide the numerator by the denominator. The numerator is the number on top of the fraction, and the denominator is the number on the bottom of the fraction.
7/100 = 0.07
Please mark brainliest!
ASAP!!!
Every day, Jorge buys a lottery ticket. Each ticket has a probability of 0.2 of winning a prize. After seven days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.
(a) The probability that Jorge has won at least one prize is ____.
Step-by-step explanation:
the probability to win is 0.2.
the probability to lose is 1-02 = 0.8.
there is no sure win after at least n trials.
on day 1 the probability to win is 0.2.
on day 2 the probability to win at least once is
the probability to have won on day 1 but not on day 2, plus the probability to have won on day 2 but not on day 1 plus the probability to have won on both days :
0.2×0.8 + 0.8×0.2 + 0.2×0.2 = 0.32 + 0.04 = 0.36
...
on day 7 we have
the probability to have won on one day but not on 6 days times the combination of picking 1 day out of 7,
plus the probability to have won on 2 days but not on 5 days times the combinations to pick 2 out of 7,
plus the probability to have won on 3 days but not on 4 days times the combinations to pick 3 out of 7,
...
plus the probability to have won on all 7 days.
that is
0.2.×0.8⁶ × 7 +
+ 0.2²×0.8⁵ × C(7, 2) +
+ 0.2³×0.8⁴ × C(7, 3) +
+ 0.2⁴×0.8³ × C(7, 4) +
+ 0.2⁵×0.8² × C(7, 5) +
+ 0.2⁶×0.8 × 7 +
+ 0.2⁷
but before we lose ourselves in tons of little operations, this is the same as the opposite of having lost on all 7 days.
that is
1 - 0.8⁷ = 1 - 0.2097152 = 0.7902848 ≈ 0.7903
so, the probability that Jorge has won at least one prize is
0.7903
how many solutions does the following have? 3 (2x-4) = 2 (3x-6)
Answer: There are infinite solutions.
Step-by-step explanation:
3(2x-4) = 2(3x-6)
6x - 12 = 6x - 12
-12 = -12
0 = 0
Find the slope of the given line please see attached photo thank you
Answer:
2/5
Step-by-step explanation:
Find two integer coordinate sets ( use the two points labelled)
slope = m = (y1-y2)/(x1-x2) =
= ( 1 - -1 ) / (3- - 2) = 2/5
(NOTE: it does not matter which point you choose to be x1,y1 or x2,y2 )
write a event that has a probability of 1
A probability of 1 means that the event will happen. If the probability of a road traffic accident was 1 there would be nothing you could do to stop it.
that's my answer
Find the missing angle
Answer:
36 degrees
Step-by-step explanation:
We do bottom triangle first:
33+90=123. 180-123=57
Go to upper tri: 90-57=33
111+33=144. 180-144=36.
?=36 degrees
Hope it helps
Where does the energy stored in coal originally come from?
A. The Earth's Core
B. Minerals
C. The Sun
D. Radioactive material in the crust
Answer: The Sun
Step-by-step explanation:
Energy has existed from the beginning of time. The sun was the initial source of energy, providing heat and light during the day. People used light to wake up and sleep, depended on wood and dung for heat, and water power to run primitive mills.
Find the surface area and volume of the figure.
Step-by-step explanation:
this is again a combined object.
at the bottom there is a cylinder.
and on top there is half of a sphere (I assume it is a sphere, because there is no additional information about its height, and we could therefore not solve this otherwise).
for the total volume we need to calculate both volumes and add these results.
for the total surface area we need to calculate both surface areas, but remove the top surface area of the cylinder, because the half-sphere is covering it.
so, let's start with the volume :
the volume is a cylinder is
ground area × height = pi×r² × height
the radius is half of the diameter, so, r = 18/2 = 9 ft.
in our case that gives us
pi×9² × 10 = pi×81 × 10 = 810×pi = 2,544.690049... ft³ ≈
≈ 2,544.7 ft³
the volume of a sphere is
pi×r³ × 4/3
and of a half-sphere therefore
pi×r³ × 4/3 / 2 = pi×r³ × 2/3 = pi×9³ × 2/3 = pi×9² × 2 =
= pi×81 × 2 = 162×pi = 508.9380099... ft³
≈ 508.9 ft³
the total volume is then
3,053.628059... ft³ ≈ 3,053.6 ft³
the surface area :
the surface area of a cylinder is
the areas of the circles on the top and the bottom (but here we need only the bottom) plus the area of the lateral side area, the "mantle", which is the circumference of the basic circle times height.
so, in our case we get
pi×r² + 2×pi×r×height
pi×9² + 2×pi×9×10 = 81pi + 180pi = 261pi =
= 819.9556826... ft² ≈ 820 ft²
the surface area of a sphere is
4×pi×r²
and therefore if a half-sphere
4×pi×r² / 2 = 2×pi×r²
in our case
2×pi×9² = 2×pi×81 = 162pi = 508.9380099... ft²
≈ 508.9 ft²
the total surface area is then
1,328.893692... ft² ≈ 1,328.9 ft²
Which of the triangles shown are obtuse triangles?
A group of triangles. Triangle A has three equal angles. Triangle B has two acute angles and one obtuse angle. Triangle C has two acute angles and one ninety degree angle. Triangle d has two acute angles and one obtuse angle.
Group of answer choices
Triangle A and Triangle B
Triangle B and Triangle D
Answer:
BD
Step-by-step explanation:
Evaluate the expression when a=7 and b=-6.
7a-b
Answer:
54
Step-by-step explanation:
7*a-b , a = 7 , b = - 6
7*7 - (-6)
49 + 6 = 54
If its 7 * (a - b)
7*(7 - (-6))
7 * 13
91
Plss I need help with this
Step-by-step explanation:
Since TRIANGLE BAD is an isosceles traingle you know line BA is equal to line AD
and since C is the given midpoint of line BD you know BC is equal to CD
both triangles share line AC so the third side is also the same
so now you know traingles BAC, and CAD have three sides which all measure the same making ABC equal to ADC
Please help so lost, it is not making any sense
????????
Step-by-step explanation:
1,1,1
1 . The ratio of 3 1/3 to 2 1/4 is equal to the ratio of?
Answer:
40 : 27
Step-by-step explanation:
[tex]3\frac{1}{3} : 2\frac{1}{4}[/tex]
Turn into improper fractions:
[tex]\frac{10}{3} : \frac{9}{4}[/tex]
Make them integers by multiplying them by 12:
40 : 27
The ratio of 3 ¹/₃ and 2 ¹/₄ is 40 : 27.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b.
The given numbers are,
3 ¹/₃ and 2 ¹/₄
To find the ratio of the given numbers,
First simplify the numbers,
3 ¹/₃ = 10 / 3
2 ¹/₄ = 9 / 4
Divide 10 / 3 and 9 / 4
= (10 / 3) / (9 / 4)
= (10 x 4) / (9 x 3)
= 40 / 27
= 40 : 27.
The required ratio is 40 : 27.
To know more about Ratio on:
https://brainly.com/question/23724140
#SPJ2
could i have some quick quick help?
Turn over into vertex form
y=-30t²+450t-790y=-30(t²-15x+79/3)Solving
y=-30[(t-15/2)²-359/12]Open brackets
y=-30(t-15/2)²+1795/2Accurating
y=-30(t-7.5)²+897..5Compare to Vertex form y=a(x-h)²+k
Vertex
(h,k)=7.5,897.5Max profit is $897.5
ticket price should be $7.5Answer:
$7.50
Step-by-step explanation:
Completing the square formula
[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]
[tex]\begin{aligned}P & =-30t^2+450t-790\\& =-30\left(t^2+\dfrac{450}{-30}t\right)-790\\\\& =-30\left(t^2+\dfrac{450}{-30}t+\left(\dfrac{450}{2(-30)}\right)^2\right)-790-(-30)\left(\dfrac{450}{2(-30)}\right)^2\\\\& =-30\left(t-\left(-\dfrac{450}{2(-30)}\right)\right)^2-790-\dfrac{450^2}{4(-30)}\\\\& =-30(t-7.5)^2+897.5\end{aligned}[/tex]
Therefore, the vertex is (7.5, 897.5)
So the ticket price that maximizes daily profit is the x-value of the vertex: $7.50
Hello Please Find The Answer To This Question (easy)
Answer:
y=-2x-4
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
I need some help with this question.
Answer:
I believe it would be C
Step-by-step explanation:
71+36=107
180-107=73
it don't make sense for it to be right because none of the angles are 90°
[100 POINTS!!] Consider this cone and pyramid, which have the same height, h. Planes parallel to the base cut through each solid at equal heights, as shown.
#Circle 1
π12²144πunits²#Circle 2
6²π36πunits²#Circle 3
3²π9πunits²#Triangle 1
1/2(12π)(24)6π(24)144πunits²#Triangle 2
1/2(6π)(12)36π units²#Triangle 3
1/2(3π)(6)9π units²The area of each cross section of the cone and pyramid is the same which is 2[tex]\pi[/tex].
This is because the cone and pyramid are similar solids, and the cross sections are taken at equal heights.
The similarity of the cone and pyramid can be seen by comparing the triangles formed by the apex, a point on the base, and the intersection of the plane with the solid. These triangles are similar because they have the same angles.
The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same.
Therefore, the area of each cross section of the cone and pyramid is the same.
[tex]\pi[/tex][tex]h^2[/tex] / (1/2) h*h = 2[tex]\pi[/tex][tex]h^2[/tex] / [tex]h^2[/tex] = 2[tex]\pi[/tex]
The cross sections of the cone and pyramid are both triangles. The triangles are similar because they have the same angles. The fact that the cross sections are taken at equal heights means that the triangles are similar in size as well. This means that the areas of the triangles are also the same. Hence, the answer is 2[tex]\pi[/tex].
To learn more about area here:
https://brainly.com/question/13029309
#SPJ2
