Answer: 31.41 square units
Step-by-step explanation:
Hi, to answer this question we have t apply the next formula:
Lateral area of a right cone = π x slant height x radius
Radius = diameter /2 = 4 /2 = 2 units
To find the slant height:
Since the altitude, slant and radius forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the slant) and a and b are the other sides.
Replacing with the values given:
c^2 = 4^2 + 3^2
c^2 = 16 +9
c^2 = 25
c = √25
c = 5 units (slant)
Back with the Lateral area formula:
Lateral area of a right cone (LA) = π x slant height x radius
LA = π x 5 x 2 = 31.41 square units
Solve for x. 2(4x - 1) + 3(3 - 2x) = 0
Answer:
x=-3.5
Step-by-step explanation:
[tex]2(4x - 1) + 3(3 - 2x) = 0 \\ open \: the \: bracets \: \\ 8x - 2 + 9 - 6x = 0 \\ [/tex]
[tex]collect \: like \: terms. \\ 8x - 6x = 0 + 2 - 9 \\ 2x = - 7[/tex]
[tex]divide \: both \: sides \: of \: the \: equation \: by \: 2 \\ \frac{2x}{2} = \frac{ - 7}{2} \\ x = - \frac{7}{2} or \: x = - 3.5[/tex]
Tony and Tiffany collect semi-precious stones. At the rock hound hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At the solid rock shop, tony paid $19 for 3 pounds of the same type of the stone. Who made the better buy?
Answer:
Tiffany made the better buy
Step-by-step explanation:
Based on the information provided within the question it can be said that Tiffany made the better buy in this scenario. Mainly because Tiffany paid a less amount per pound than Tony did. This can be calculated by dividing the total amount each paid by the total amount each of them received, like so...
Tiffany: $38 / 9 = $4.22 per pound
Tony: $19 / 3 = $6.33 per pound
Therefore we can see that Tiffany paid $4.22 per pound and Tony paid $6.33 per pound a whole $2.11 more than Tiffany, thus making Tiffany purchase the better buy.
What is the base of the expression g 12?
Answer:
Step-by-step explanation:
number A 3
Which of the following terms have a GCF of 6x^3? Select two options. 12p^3r 27p^4q 45p^3q^6 54p^3 63p^3q^6
Answer:
A. and D. are correct
Step-by-step explanation:
The correct answers are Option A, Option D.
The terms which have the GCF of [tex]6x^3\\[/tex] are [tex]12p^3r[/tex] and [tex]54p^3[/tex].
Given data:
To find the greatest common factor (GCF) of the given terms, we need to find the highest power of x that divides into all the terms and the highest power of p that divides into all the terms.
For [tex]12p^3r[/tex] , the highest power of x that divides into this term is [tex]x^0[/tex](since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]
For 54p^3, the highest power of x that divides into this term is [tex]x^0[/tex] (since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]
Hence, the terms are [tex]12p^3r[/tex] and [tex]54p^3[/tex].
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Pls help with this question.
This recipe makes 16 portions of potato soup.
Richard follows the recipe but wants to make 4 portions.
Complete the amounts of each ingredient that he needs.
Answer:
24 ml oil
60 g onions
360 g potatoes
400 ml milk
Step-by-step explanation:
The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.
*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.
1) 96/4 = 24 ml
2) 240/4 = 60 g
3) 1.44/4 = 0.36 kg
They want it in grams, so times it by 1,000 to convert. this gives you 360 g.
4) 1.6/4 = 0.4 l
They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.
Hope this helped : )
given two consecutive numbers, we are told that twice the first number is twelve more than the second number. What are the two numbers?
Answer: The numbers are 13 and 14
Step-by-step explanation:
Since they are two consecutive numbers, let the numbers be x and x+1.
We are told that twice the first number is twelve more than the second number. This can be expressed as:
2 × x = x+1+12
2x = x+13
2x-x = 13
x = 13
Since x = 13, x+1 = 13+1 = 14
The numbers are 13 and 14
A 6.5 foot street sign casts a 10-foot shadow while a telephone pole casts a 40-foot shadow. How tall
is the telephone pole?
Answer:
26
Step-by-step explanation:
10 x 4 = 40
6.5 x 4 = 26
The height of the telephone pole is 26 foot.
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,
Given that,
Shadow of 6.5 foot street sign = 10 foot
Let the height of telephone pole = h foot
According to given condition,
Shadow of h foot telephone pole = 40 foot
Since, 10 foot shadow cast by 6.5 foot street sign
To find the height of the pole,
Use Ratio property,
10/6.5=40/h
⇒h=26 foot
The height of telephone pole is 26 foot
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what is the total amount of sap produced that day?
Answer:
8 gallons
Step-by-step explanation:
Already a question from another person.
Answer:
5 gallons
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 15 POINTS !!
Answer:
The answer is C
Step-by-step explanation:
Please mark me Brainliest
Which of the binomials below is a factor of this
trinomial?
x2 + 13x + 40
O A. x+ 5
O B. X-5
O C. X+4
O D. X-4
A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual area of the room? Please help
Answer:
The area of the room is 37.5 square inches.
Step-by-step explanation:
Consider that the room is rectangular in shape.
The dimensions of the rooms are:
Length (l) = 7.5 inches
Breadth (b) = 5 inches
The area of a rectangle is:
Area = l × b
Compute the area of the room as follows:
Area = l × b
[tex]=7.5\times 5\\=37.5[/tex]
Thus, the area of the room is 37.5 square inches.
QUESTION 2 of 10: Your house is for sale for $210,000. A realtor will charge you a 3% sales commission. If you choose a "sale by owner"
option by passing a realtor, you will pay no commission, but you will have to pay an attorney an average of $950 at your closing. What will you
save by choosing the sale by owner" option?
a) $1,865
b) $2,150
C) $5,350
d) $9.500
Answer:
c) $5,350
Step-by-step explanation:
sale price= $210000sales commission= 3% = 3*$210000/100= $6300The difference between the commission and an attorney
$6300- $950= $5350Option C is correct
Answer:
C
Step-by-step explanation:
x^2+6x+8=0
someone help me with the equation. i’m super confused and don’t know if i’m doing it right
Answer:
I think the answer is (x + 4) • (x + 2)
Step-by-step explanation:
First multiply the coefficient of the first term by the constant
Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6
Step 3: write the polynomial splitting the middle term using the two factors found in step 2
Step 4: Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
4 • (x+2)
Step 5: Add up the four terms in step 4
(x+4) • (x+2)
Your final answer is (x + 4) • (x + 2)
Solve the equation
The equation is -3 = 8x -4y for y
Answer:
[tex]y=\frac{3}{4}+2x[/tex]
Step-by-step explanation:
A grocery store clerk can scan one product every 1/2 of a second at what rate Can she scan Products
Answer:
per second or minute or hour?
per second: 2 per second
per minute: 120 per minute
per hour: 7200 per hour
Step-by-step explanation:
two 1/2 seconds per second so 2 products per second. multiply by 60 for per minute is 120. multiply the minute amount by 60 for hour amount aka 7200.
hope this helps! pls mark brainliest! have a good day!
Answer: She scan products at
2 per second.120 per minute. 7200 per hour.Given that: A grocery store clerk can scan one product every 1/2 of a second.
That means:
Rate = 2 per second.
Rate = (2*60) = 120 per minute.
Rate = (120*60) = 7200 per hour
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The base of a right circular cone has a radius of 4 inches and a slant height of 9 inches. If the radius and the slant height are multiplied by 6, by what factor is the surface area multiplied? A. 6 B. 36 C. 24 D. 54
Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
Answer:
b
Step-by-step explanation:
Answer correctly !!!!!! Will mark brainliest !!!!!!!!
Answer:
(x+9)(x+2)
Step-by-step explanation:
x(x+9)+2(x+9)
(x+2)(x+9)
the order of the (---) doesn't matter
Leigh is going diving and needs to descend to a depth of 360 feet below sea level. She wants to do it in 12 equal descents. How far should she travel in each descent?
Answer:
30 feet
Step-by-step explanation:
If they are equal, just divide 360 by 12.
360 ÷ 12 = 30
Which number produces a rational number when multiplied by
1/3
Answer:
Any integer multiplied can give rational number
Step-by-step explanation:
define the word triangle
A plane 2-dimensional figure with three straight sides and three angles.
Answer:
The definition of triangle is a plane figure with three straight sides and three angles. Hope that's work.The shortest leg of a right triangle measures 9 centimeters and the hypotenuse measures 3 centimeters more than the longer leg. Find the length of the hypotenuse. Use the Pythagorean Theorem Formula.
I'm not sure how to set this up
Answer:
The triple is 9, 12, 15
The hypotenuse is 15.
Step-by-step explanation:
Pythagorean Theorem Formula: a²+b²=c² where a & b are the short legs and c is the hypotenuse.
9²+b²=(b+3)²
81+b²=(b+3)²
Small list of the Pythagorean Triples that contain 9:
9,12,15
9,40,41
So as you can see, there are only 2 examples in my list that contain 9 in them. The only one that fits our criteria is the triple, 9, 12 and, 15
You don't need to use the Pythagorean Formula for this as I have just proved.
Answer:
12 cm
Step-by-step explanation:
I don't think u have to use the phytagores theorem b/c the hypotenuse is 9+3=12. but if u have to use this.
[tex] {?a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {9}^{2} + {b}^{2} = {9 + 3}^{2} [/tex]
[tex]81 + {b}^{2} = 9(9 + 3) + 3(9 + 3)[/tex]
[tex]81 + {b}^{2} = 81 + 54 + 9[/tex]
[tex]81 + {b}^{2} = 144[/tex]
[tex] {b}^{2} = 144 - 81 = 63[/tex]
[tex] {b}^{2} = \sqrt{53} = b = 7.93[/tex]
so if u found b then u can find c by using the same formula.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {9}^{2} + {7.93}^{2} = {c}^{2} [/tex]
[tex]81 + 63 = {c}^{2} [/tex]
[tex] {c}^{2} = 81 + 63 = 144[/tex]
[tex] \sqrt{c} = \sqrt{144} [/tex]
[tex]c = 12[/tex]
Tick the correct answer
Please answer Fast.......
Answer:
c
Step-by-step explanation:
2^1\6
4√(3√2^2)= 2^1\6
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answer:
3/4
Step-by-step explanation:
Scale factor = 6/8 or 9/12 = 3/4
1 of 10
Colin buys a tv for £810.
It depreciates at a rate of 3% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
7
8
9
q
W
e
r
t
y
u
o
Answer:
I=72.9
Step-by-step explanation:
I=PRT When P= the principal=810, R=rate=3% and T=time(by year)=3 years
I=810*3/100*3
I=24.3*3
I=72.9
Answer:
Simple interest/Interest = £72.9
Step-by-step explanation:
We have to find the simple interest at this point.
So use the formula:
I = prt or I = p x r x t
I = amount of interest
P = principal amount (810)
R = interest rate (in years) (.03)
T = amount of time in (years) (3)
All we need to do is multiply.
I = (810)(.03)(3)
I = £72.9
Here is a list of numbers:
8.4, 6.2, 8.8, 1.5, 0.5, 1, 5.4, 3.3, 2.2
State the median.
I need help ASAP
Observa las figuras y contesta lo siguiente de cada figura ¿cuantos cubos la forman? ¿Cuantos cubos tiene de alto? ¿Cuantos cubos tiene de largo? ¿Cuantos cubos tiene de ancho?
Answer:
The figures are shown in the image attached.
Figure 1.Notice that the figure is a cube with side of 3 cubes long. That means the total number of cubes that form the figure are
[tex]V=3^{3}=27[/tex]
27 cubes in total.
Its height is formed by 3 cubes.
Its length is formed by 3 cubes.
Its width is formed by 3 cubes.
Figure 2.
The second figure has:
Its height formed by 5 cubes.
Its length formed by 1 cube.
Its width formed by 3 cubes.
Which gives: [tex]V= 5 \times 1 \times 3 = 15[/tex]
There are 15 cubes in total.
Figure 3.The third figure has
Its height formed by 3 cubes.
Its length formed by 2 cube.
Its width formed by 3 cubes.
Which gives: [tex]V= 3 \times 2 \times 3 = 18[/tex]
There are 18 cubes in total.
Figure 4.The fourth figure has
Its height formed by 1 cubes.
Its length formed by 2 cube.
Its width formed by 7 cubes.
Which gives: [tex]V= 1 \times 2 \times 7 = 14[/tex]
There are 14 cubes in total.
How do you solve an standard form/ intercept in y=4x-10 ¿? Help me plzzzz :/
Answer:
Slope = 8.000/2.000 = 4.000
x-intercept = 10/4 = 5/2 = 2.50000
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
y= mx + b is the slope intercept form of a line where m is the slope and b is the y intercept.
Step 1 : Equation of a Straight Line
Step 2: Graph of a Straight Line
Step 3: Calculate the Y-Intercept
Step 4: Calculate the X-Intercept
Step 5: Calculate the Slope
Hope this helps.
VA
How could you use cross products to check the solution
to this proportion?
12 5
30 x
30(5) = (12)(x)
150 = 12x
12.5 = x
the answer is 2x=25. Can someone help me please
Answer:
don't type the mathematics questions
Answer:150
Step-by-step explanation:
What is the leading coefficient of the polynomial?
5x3 + 17 − 8x5 − 9x4
A) −8
B) −9
C) 17
D) 5
Answer:
-8
Step-by-step explanation:
Write the polynomial from highest power to smallest
− 8x^5 − 9x^4+5x^3 + 17
The leading coefficient is the first number in front of the highest power
Evaluate 2(x+1)-3 when x=6
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]2(6+1)-3[/tex]
[tex]2(7)-3[/tex]
[tex]14-3[/tex]
[tex]11[/tex]
Answer:
11
Step-by-step explanation:
1. insert 6 in the x spot
2. add inside of the parenthesis (6+1)=7
3. multiply 2 and 7 to get 14
4. take 3 from 14 to get 11
