Answer:
D
Step-by-step explanation:
D. 60 Units
The surface area of the right cone is,
⇒ SA = 60π units²
What is mean by Multiplication?The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of cone (r) = 5 units
Slant height of cone (l) = 7 units
Now, We know that;
The formula that is used to calculate the surface area of a cone is;
⇒ SA = πrl + πr²
Hence, We can substitute all the values we get;
⇒ SA = πrl + πr²
⇒ SA = π × 5 × 7 + π × (5)²
⇒ SA = 35π + 25π
⇒ SA = 60π units²
Thus, The surface area of the right cone is,
⇒ SA = 60π units²
Learn more about the multiplication visit:
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math question please help
Answer:
a. 4
b. 132
Step-by-step explanation:
Plugg in the equation in desmos graphing calculator and the find the vertex to find the answer.
(Are you doing this in pearson?)
The population of a swarm of killer bees multiplies
10 fold in 50 days. Determine the correct
expression to calculate the number of bees after t
days if the initial swarm had 1000 bees.
Answer:
The correct expression to calculate the number of bees after t days if the initial swarm had 1000 bees is [tex]P = 1000 *e^{0.2*t}[/tex]
Step-by-step explanation:
Given -
The population of a swarm of killer bees increases by 10 times in 50 days
The rate of increase of population is [tex]r = \frac{10}{50} = 0.2[/tex] per day
As we now the equation of population projection is
[tex]P= P_0 *e^{rt}\\[/tex]
Where P0 = initial population
P is the population after time t
and r is the rate of increase of population
Substituting the given values in above equation, we get -
[tex]P = 1000 *e^{0.2*t}[/tex]
What is the value of x if 2x - 3 = 15?
12. Solve for x. (6x-21) P Q T S R
Answer:
x=4
Step-by-step explanation:
since its a square, the diagonals cut the right angle in half, so 45
6x - 21 = 45
6x = 24
x=4
Simplify the expression using long division.
(412 - 13x - 4)+(-2)
A. quotient 4x - 13 and remainder 2 B, quotient 4x - 5 and remainder-6
C. quotient 4x +5 and remainder 6 D. quotient 4x - 5 and remainder
What is the slope of a line through (-2,5) and (4,6)?
Answer:
1/6
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 5 / 4 - (-2)
1 / 6
1/6
Which statements apply to the expression (3/5^3) cubed? Check all that apply.
Answer:
The true statements are
3/5 is the base
3 is the exponent
(3/5)³ = 3/5 × 3/5 × 3/5
(3/5)³ = 27/125
Step-by-step explanation:
Let a and b be any integer, given the expression;
[tex]a^b[/tex]
a is the base
b is the exponent
Similarly if we have;
[tex]a^3[/tex]
This means we can multiply a in three places as shown;
[tex]a^3 = a \times a \times a[/tex]
Applying this to the given expression
[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]
The base value will be 3/5 and the exponent is 3
What is the measure of the unknown angle?
Answer:
55 degrees is the measure of the unknown angle
Charlie combined 4quarts of sparkling water with 2 gallons 1 quart of apple juice.Which tells the amount of drink he made?
i need this done rn plz help
Answer:
answer for yes total, is 5, the answer for no total is 20, the total for junior is 17, and the total for senior is 8.
Step-by-step explanation:
What you do is you add the 2 values. for example, to find the total for the juniors, you would add 1 to 16.
Choose Yes or No to tell if each statement is true.
3.072 > 3.2
728.307 > 729.07
12.040 = 12.04
531.135 < 531.315
Answer:
No, no, yes, yes
Step-by-step explanation:
3.072 is not bigger than 3.2, so incorrect (no)
728.307 is not bigger than 729.078, so incorrect again (no)
12.040 does equal 12.04, so correct (yes)
531.135 is smaller than 531.315, so correct (yes)
Item 7
△ABC has vertices A(−1, 2), B(2, 8), and C(4, 1). Find the measure of each angle of the triangle. Round decimal answers to the nearest tenth.
Answer:
[tex]A = 74.7^\circ[/tex]
[tex]B = 42.5^\circ[/tex]
[tex]C = 62.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]
For AB
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]d = \sqrt{(-1 - 2)^2 + (2 - 8)^2[/tex]
[tex]d = \sqrt{(-3)^2 + (-6)^2[/tex]
[tex]d = \sqrt{45[/tex]
So:
[tex]AB = \sqrt{45[/tex]
For BC
[tex]B = (2,8) \to (x_2,y_2)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]BC = \sqrt{(2 - 4)^2 + (8 - 1)^2[/tex]
[tex]BC = \sqrt{(-2)^2 + (7)^2[/tex]
[tex]BC = \sqrt{53[/tex]
For AC
[tex]A = (-1,2) \to (x_1,y_1)[/tex]
[tex]C = (4,1) \to (x_3,y_3)[/tex]
[tex]AC = \sqrt{(-1 - 4)^2 + (2 - 1)^2[/tex]
[tex]AC = \sqrt{(-5)^2 + (1)^2[/tex]
[tex]AC = \sqrt{26[/tex]
So, we have:
[tex]AB = \sqrt{45[/tex]
[tex]BC = \sqrt{53[/tex]
[tex]AC = \sqrt{26[/tex]
By representation
[tex]AB \to c[/tex]
[tex]BC \to a[/tex]
[tex]AC \to b[/tex]
So, we have:
[tex]a = \sqrt{53[/tex]
[tex]b = \sqrt{26[/tex]
[tex]c = \sqrt{45[/tex]
By cosine laws, the angles are calculated using:
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex]c^2 = a^2 + b^2 -2ab\ cos C[/tex]
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex](\sqrt{53})^2 = (\sqrt{26})^2 +(\sqrt{45})^2 - 2 * (\sqrt{26}) +(\sqrt{45}) * \cos A[/tex]
[tex]53 = 26 +45 - 2 * 34.21 * \cos A[/tex]
[tex]53 = 26 +45 - 68.42 * \cos A[/tex]
Collect like terms
[tex]53 - 26 -45 = - 68.42 * \cos A[/tex]
[tex]-18 = - 68.42 * \cos A[/tex]
Solve for [tex]\cos A[/tex]
[tex]\cos A =\frac{-18}{-68.42}[/tex]
[tex]\cos A =0.2631[/tex]
Take arc cos of both sides
[tex]A =\cos^{-1}(0.2631)[/tex]
[tex]A = 74.7^\circ[/tex]
[tex]b^2 = a^2 + c^2 -2ac \cos B[/tex]
[tex](\sqrt{26})^2 = (\sqrt{53})^2 +(\sqrt{45})^2 - 2 * (\sqrt{53}) +(\sqrt{45}) * \cos B[/tex]
[tex]26 = 53 +45 -97.67 * \cos B[/tex]
Collect like terms
[tex]26 - 53 -45= -97.67 * \cos B[/tex]
[tex]-72= -97.67 * \cos B[/tex]
Solve for [tex]\cos B[/tex]
[tex]\cos B = \frac{-72}{-97.67}[/tex]
[tex]\cos B = 0.7372[/tex]
Take arc cos of both sides
[tex]B = \cos^{-1}(0.7372)[/tex]
[tex]B = 42.5^\circ[/tex]
For the third angle, we use:
[tex]A + B + C = 180[/tex] --- angles in a triangle
Make C the subject
[tex]C = 180 - A -B[/tex]
[tex]C = 180 - 74.7 -42.5[/tex]
[tex]C = 62.8^\circ[/tex]
please help! answer correct for 10 points and brainliest.
Answer:
14 square cm Should be the answer, plz do correct me if im wrong!!
Step-by-step explanation:
The right side which is triangle is 2x3 is 6 but because there is only half 6/2
it is 3!
Th middle portion which is square is 2 to the 4th power or 2x2x2x2 or just 2x4(2^4)!! Which is 8!
Finally the last triangle is the same as the first 3
8+6(the to triangles 3+3)=14
Mark brainliest plz, it was nice helping you if im wrong plz tell me immdiately i dont want to cause any problems good day ;)
Classify this triangle by its sides.
Step-by-step explanation:
The answer is scalene triangle
a debt that the company or entity enters into with the investors that pays the investors interest on that debt is refer as
Answer:
dividend,
Step-by-step explanation:
Help ASAP! It’s due and thanks
Answer:
C
Step-by-step explanation:
It can't be B or D, because there is only a difference in the X axis (Meaning it goes either left or right)
It can't be A because 2 is less than 11, so (2, -1) would be left 9 units in relation to (11, -1)
Simplify for me please
Answer:
9y^4
Step-by-step explanation
i believe you just add 6yand 3y
hope this helps :)
if this is a test wait for someone else to confirm just to make sure
what times twelve is exactly 30
the answer is most likely a mixed number
Answer:
2.5 or 2 and 1/2
Step-by-step explanation:
30/12 = 2.5
There are two wholes that fit in 30 with a remainder of half of a whole.
2.5 translates to 2 and 1/2
Answer:
Hello! answer: 2½
Step-by-step explanation:
Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!
Bob works at a construction company. He has an equally likely chance to be assigned to work different
crews everyday. He can be assigned to work on crews building apartments, condominiums, or houses. If
he works 21 days a month, about how many times should he expect to be assigned to the condo crew?
times out of 21 days.
Bob can expect to be assigned to the house crew about
20 points.
Find the area of a right triangle whose hypotenuse is 20 units long and the altitude drawn from the Right angle divides the hypotenuse into 5 units and 15 units.
Step-by-step explanation:
the height of the triangle = √(5×15)= √75
=5√3 units
the base of triangle= 20 units
so, the area = ½×20×5√3= 50√3 units
or 86.60 units
Colton has a stone paperweight composed of a triangular pyramid on top of a triangular
prism with the dimensions shown below. Use the drop-down menus to explain how to
determine the volume of the paperweight.
Answer:
1/2 * 5 * 5
4
1/3, 7
79 in³
Step-by-step explanation:
The area of the base : base is shaped like a triangle ;
Area of triangle = 1/2 base * height :
Base and height = 5
Area of base = 1/2 * 5 * 5 = 12.5 in²
Volume of triangular prism = Area of base * height
Volume of triangular prism = 12.5 * 4 = 50 in³
For the triangular pyramid :
Area of base * height of pyramid *1/3
12.5 * 7 * (1/3) = 29.17
The volume of the paperweight :
Volume of triangular pyramid + volume of triangular prism
29.17 + 50
79.17 = 79 in³
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
Can someone please help me with math.
Answer:
Vertical Angles
Step-by-step explanation:
Hope this helps
i have a geometry question.
Answer:
Step-by-step explanation:
You already have the area for your triangle. Substract that from the entire area of the rectangle.
To get the area of the rectangle, multiply the length by the height.
15*20 = 300
Now substract your triangle from that :)
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
In a standard deck of card there are 52 cards total. Find the number of possible 5 hand cards that contain 3 queens and 2 kings.
Answer:
The probability of choosing 3 kings and 4 queens out of the 8 (4+4) kings and queens is given by 0.42857
Step-by-step explanation:
There are 4 queens and 4 kings in a deck of 52 cards. So we have to choose 5 cards having 3 queens and 2 kings out of the 52
Therefore the combinations can be written like this 8C5= 56 ways
And the probability this can be chosen is given by
4C3*4C2/8C5
=4*6/56
=24/56
=0.42857
The probability of choosing 2 kings and 3 queens out of the 8 (4+4) kings and queens is given by 0.42857 or 24/56
please help and show work
Answer:
Step-by-step explanation:
3) JH is the length of the radius
def. of midpoint
def. of < bisector
4) The missing length is 15
Given a=8 and c=17,
b = 30
∠α = 28.072° = 28°4'21" = 0.48996 rad
∠β = 61.928° = 61°55'39" = 1.08084 rad
area = 60
perimeter = 40
h =
120
17
= 7.0588235294118
Find the area of a triangle with base of 10 inches and a height of 5 inches.
100 square inches
B 50 square inches
C) 25
square inches
D 12.5 square inches
Answer:
25 square inches
Step-by-step explanation:
just divide your base by 2 and then multiply it by the height
h(v)=5v2–28v+11, use synthetic division to find h(4).
Answer:
h(4)=-21
Step-by-step explanation:
h(v)=5x^2-28v+11
h(4)=5(4)^2-28(4)+11
h(4)=5(16)-112+11
h(4)=80-101
h(4)=-21
If this helps please mark as brainliest
hi! please help i’ll give brainliest
Answer:
give brainliest
Step-by-step explanation:
then i help