Answer:
1017.88 in^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * π r^2 h
= 1/3 * π * 9^2 * 12
= 1017.88 in^3.
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.
What is the equation, in point-slope form, of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
y-3 = -2(x + 4)
Y-3 = -
2(x+4)
y-3 = {(x + 4)
Y-3 = 2(x + 4)
Answer:
y=1/2x+5
Step-by-step explanation:
the perpendicular line equation's slope is a negative reciprocal, so the new equation's slope is 1/2. so now you have y=1/2x+b plug in (-4,3) to find b. so you will do 3=1/2(-4)+b. 3=-2+b and then you solve for b. you would get b=5. so, the new equation is y=1/2x+5
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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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:
3:15=12:60 then find the sum of the mean
Answer:
The means of the proportion 3/15 = 12/60 are 15 and 12. The means of the proportion 3/15 = 12/60 are 15 and 12
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]
Find the value of x
Answer:
98
Step-by-step explanation:
Angles in a triangle: 180
Supplementary Angles: 180
180-122=58
58+24=82
180-82=98
Verify sin^4x-sin^2x=cos^4x-cos^2x is an identity. Please dumb it down, i don't get this lesson.
Answer:
Step-by-step explanation:
cos^2+sin^2 = 1 ( rule)
cos^4x-cos^2x simplify
- cos^2( -cos^2 +1 ) -cos^2 common
or -cos^2 ( 1-cos^2)
since cos^2 + sin^2 = 1
substitute : -cos^2 ( sin^2 )
substitute : -(1-sin^2 ) ( sin^2)
multiply : -sin^2 + sin^4 or sin^4 - sin^2
it is verified that sin^4 -sin^2= cos^4-cos^2
hope it helps
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.
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
Solve the equation
The equation is -3 = 8x -4y for y
Answer:
[tex]y=\frac{3}{4}+2x[/tex]
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
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
Which number produces a rational number when multiplied by
1/3
Answer:
Any integer multiplied can give rational number
Step-by-step explanation:
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:
Re-write the statement 19+7÷2×6+1 by including two pairs of brackets to make the total value equal to 2.
(19+7)(2×6+1)
Step-by-step explanation:
(19+7)/(2×6+1) = 2
26/13 = 2
2 = 2
Please solve the question.
Answer:
a = 125°, b = 20°, c = 35°, d = 90°, e = 55°
Step-by-step explanation:
Quadrilateral PQRS is inscribed in a circle, therefore it is a cyclic quadrilateral.
PQ is diameter, SR is chord and PR is transversal such that:
PQ || SR... (given)
[tex] m\angle PRQ = 90°..(\angle \: inscribed \: in\: semicircle) \\
\huge \red {\boxed {\therefore d = 90°}} \\\\
m\angle RPQ= m\angle PRS .. (alternate \: \angle s) \\
\huge \purple {\boxed {\therefore c = 35°}} \\\\
In\: \triangle PQR, \\
c + d + e = 180°\\
35° + 90° + e = 180°\\
125° + e = 180°\\
e = 180° - 125°\\
\huge \orange {\boxed {\therefore e = 55°}} \\\\
a + e = 180°...(opposite \:\angle 's \: of \: cyclic \: quadrilateral) \\
a + 55°= 180°\\
a = 180°- 55°\\
\huge \blue {\boxed {a = 125°}} \\\\
In\: \triangle PSR, \\
a + b + 35°= 180°\\
125° + b + 35° = 180°\\
160° + b = 180°\\
b = 180° - 160°\\
\huge \pink {\boxed {b = 20°}}
[/tex]
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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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.
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]
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 : )
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.A car with 16 gallons of gas drives 416 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Sophie and Jackson are reading the same book. At the beginning of the month, Sophie was on page 20 and Jackson was on page 50. Sophie will read 10 pages per day and Jackson will read 5 pages per day. Let S represent the page of the book that Sophie is on at the end of t days into the month, and let J represent the page of the book that Jackson is on at the end of t days into the month. Graph each function and determine after how many days t Sophie and Jackson will be on the same page of the book.
Answer:
t = 6 days
Step-by-step explanation:
We can model both cases with linear equations in the form:
y = ax + b
Sophie was on page 20 and she reads 10 pages per day, so her equation is:
S = 20 + 10t
Jackson was on page 50 and he reads 5 pages per day, so his equation is:
J = 50 + 5*t
The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)
To find after how many days they will be on the same page, we can make S = J and then find the value of t:
20 + 10t = 50 + 5t
5t = 30
t = 6 days
100 students in a classroom like iPhone or Samsung or both of them. Out of them, 40 like both mobiles. If the ratio of the number of students who like iPhone and Samsung is 3:2, Find the number of students who like iPhone only.
Answer:
36 like iphone only
Step-by-step explanation:
You know that 40 people like both so you can already get them out of the way. That leaves you with 60 people and if we are dividing them into 5ths then 1/5 = 12 people. If the ratio is 3:2 then you can just multiply 3 x 12 to get 36 and then 2 x 12 to get 24 and that equals 60 and added to your 40 who like both, you get 100 students.
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.
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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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
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:
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: