Given right triangle ABC with altitude BD drawn to hypotenuse AC. If
AC 18 and DC · 15, what is the length of BC in simplest radical
form?
Find the volume of the cylinder.
Either enter an exact answer in terms of π or use 3.143.t, 14 for π.
Answer:
V = 75 pi
Step-by-step explanation:
We know the volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi ( 5)^2 (3)
V = pi (25)(3)
V = 75 pi
===============================================
Work Shown:
r = 5 is the radius
h = 3 is the height
V = pi*r^2*h .... volume of a cylinder
V = pi*5^2*3
V = pi*25*3
V = pi*75
V = 75pi ..... exact volume in terms of pi
V = 75*3.14
V = 235.5
If you used the approximation pi = 3.14, then the approximate volume is about 235.5 cubic units. Use more decimal digits of pi to get a more accurate answer.
Note how the pi*r^2 portion represents the area of the circular base. So we can say
volume = (area of base)*(height)
Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?
Answer:
7.5 bag
Step-by-step explanation:
Carton #1: 19 berries
Carton #2: 26 berries
^^add them up together to get hte total amount of berries! 19 + 26 = 45
She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5
When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.
Combine like terms
1) 3y + 4y
2) -7( -4 - 2s)
3) 7f - 9f - 4
4) 9 + 7 + 6d + 2d
5) 7 + 9r + 3
6) -2(7 - 8s) - 4
7) q - 9q
8) -3( -2h + 6)
9) 3q + 9q - 4 + 2
10) 3 + 5(2d - 6)
Answer:
1.7y
2.-14s
3.-2f
4.23d
5.19r
6.-2s
7.-9q
8.24h
9.10q
10.23d
Step-by-step explanation:
I TRY MY BEST TO SOLVE IT
HOPE IT HELPS
CORRECT ME IF I AM WRONG
1. 7y
2. 28 + 14s
3. -2f - 4
4. 16 + 8d
5. 10 + 9r
6. -18+ 16s
7. -8q
8. 6h - 18
9. 12q - 2
10. 10d -27
The triangles shown below are similar. Find the length of QS.
Answer: The value of QS is 8 cm.
Step-by-step explanation:
First calculating the side QT.
As per given figure:
ΔPQT ≈ ΔRST
[tex]\frac{PQ}{RS}=\frac{QT}{ST}[/tex]
Given:
PQ = 9 cm
RS = 3 cm
ST = 4 cm
Now putting all the given values in the above expression, we get:
[tex]\frac{PQ}{RS}=\frac{QT}{ST}\\\\\frac{9cm}{3cm}=\frac{QT}{4cm}\\\\QT=12cm[/tex]
Now calculating the value of QS.
QT = QS + ST
12 cm = QS + 4 cm
QS = 12 cm - 4 cm
QS = 8 cm
Thus, the value of QS is 8 cm.
6 g of butter is used for making a cupcake. How many such cakes can be made by using 3 kg of butter?
Answer: 500
Step-by-step explanation:
Given
6 g butter is required to make a cupcake
If there is 3 kg butter
We know, 1 kg is equivalent to 1000 g i.e. 3 kg is 3000 gm
No of cup-cakes made
[tex]\Rightarrow \dfrac{3000}{6}=500\ \text{cupcakes}[/tex]
Find the area of the shape.
5 ft
2 ft
3 ft
10 ft
The area of the composite shape is
square feet
Answer
300
Step-by-step explanation:
multiply by each other
A penny is dropped from a point on a bridge 94 feet above the surface of the river. If the penny travels 250 feet straight down before it lands at the bottom of the river, find the depth of the river where the penny landed.
please provide with the strategies please!!
Answer:
156 ft
Step-by-step explanation:
the depth of the river =
250-94 = 156 ft
You roll a 6-sided die.
What is P(4)?
1/6 or 4/9 or 4/5 or 3/4
Answer:
1/6
Step-by-step explanation:
Because there is only a side that has the number 4 in a total of 6 sides
Find the area of
A triangle with a base of 8 units and a height of 13 units
Answer:
52 units squared
Step-by-step explanation:
[tex]13 \: units\: \times 8 \: units \div 2[/tex]
7x2-6x=-7
Solve using quadratic formula :)
what is the degree of polynomial x^2y^2+y^3+4?
Answer:
The degree of the polynomial ≈ 4
Step-by-step explanation:
The degree of a polynomial, is given by the highest value of the sum of the exponents (powers) of the of the variables (monomials) that are present in the polynomial expression
The given polynomial expression is x²·y² + y³ + 4
The sum of the exponents; 2 + 2 = 4, and 3
The sum of exponents 4 > 3
Therefore, the degree of the polynomial = 4.
There were 8 fewer boys than girls in Mr. Taylor’s Algebra class. If he had 40 pupils, how many were girls?
Answer:
There are 24 girls in the class.
Step-by-step explanation:
Write out the problem like this:
40 = (g-8)+(g)
40 is the total amount of students. (g) is the unknown number of girls in the class, and (g-8) is the amount of boys since there are 8 fewer boys than girls.
First, eliminate the parentheses.
40 = g - 8 + g
Next, combine like terms. Both g's are positive, to we get 2g
40 = g - 8 + g
40 = 2g - 8
Then, add 8 to both sides of the equation, because the 8 that was already present is negative and needs to be canceled out.
40 + 8 = 2g - 8 + 8
48 = 2g
Lastly, divide both sides by 2, so that the (g) is by itself.
40/2 = 24, 2g/2 = g
g=24
This can be tested as the correct answer by subtracting 8 from 24 to count the boys...
24 - 8 = 16
...and adding the two amounts together to get the total amount of students.
24 + 16 = 40
There are 24 girls in the class.
The midpoint of AB‾AB is M(−4,−3)M(−4,−3). If the coordinates of A are (−1,-2)(−1,−2), what are the coordinates of B?
Answer:
(-7, -4)
Step-by-step explanation:
The midpoint formula is expressed as;
M (X,Y) = {(x1+x2/2), (y1+y2)/2}
Given that M(-4, -3) and (x1, x2) = (-1, -2)
X = x1+x2/2
-4 = -1+x2/2
-8 = -1 + x2
x2 = -8 + 1
x2 = -7
SImilarly;
Y = y1+y2/2
-3 = -2+y2/2
-3*2 = -2+y2
-6 = -2 + y2
y2 = -6 + 2
y2 = -4
Hence the coordinate of B is (-7, -4)
How was y'all day. I hope it is good
Answer:
My day has been going great! And I hope your day is going great too! :)
Step-by-step explanation: You are a perfect human :>
A trinket factory can produce 3000 trinkets per day the. warehouse has a capacity of 50000 trinkets .currently there are 8000 trinkets in the warehouse assume that no trinkets are going to be shipped out of the warehouse for a while
Answer:
14 days
Step-by-step explanation:
Since there are already 8000 trinkets in the warehouse, this means that we need to find the number of days it will take for the factory to create 42,000 trinkets which would cause the warehouse to max out it's capacity.
50,000 - 8000 = 42,000 trinkets
Since the factory can produce 3000 trinkets per day, we simply need to divide 42,000 by 3000 to get the number of days before the warehouse is at max capacity
42,000 / 3000 = 14 days
Therefore, it will take 14 days for the warehouse to be filled
Helppppppppppppppppppppppp
$138.00
Step-by-step explanation:
Steven earns in 4 hours -$23.00
he earns in 6 hours-$34.50
there fore in 10 hours -23.00+34.50=$57.50
in 20 hours -57.50+57.50=$115
and in 4 hours-$23.00+115.00=138.00$
then he earn $138.00 one day
use the circle to answer the questions
Answer:
Diameter: 10.8 cm
Circumference (in terms of π): 10.8π cm
Circumference (approximate): 33.91 cm
Step-by-step explanation:
Hi there!
We're given:
The radius (5.4 cm)1) Determine the diameter
[tex]d=2r[/tex]
Multiply the radius 5.4 cm by 2
5.4 × 2 = 10.8
Therefore, the diameter of the circle is 10.8 cm.
2) Determine the circumference of the circle
[tex]C=\pi d[/tex]
Plug in the diameter 10.8
[tex]C=10.8\pi[/tex]
Therefore, the circumference of the circle in terms of π is 10.8π cm.
3) Determine the approximate circumference of the circle
[tex]C=10.8\pi\\C=10.8(3.14)\\C=33.91[/tex]
Therefore, the approximate circumference of the circle is 33.91 cm.
I hope this helps!
I will give brainliest<3 help pleaseee
Answer:
24
Step-by-step explanation:
Answer: 24
Step-by-step explanation:
If the number of students taking online courses is increasing at a rate of 7% per
year, how long would it take for the number of students taking online courses to
double?
a) about 28.57 years
b) about 2.8 years
c) about 14.3 years
d) about 10.24 years
Answer:
it will take about 14.3 years
Please help! Must get done ASAP!!!
^^
Answer:
No
No
Yes
Yes
Step-by-step explanation:
Try it.
Answer: 1st: No, 2nd: No, 3rd: Yes, 4th: Yes
Step-by-step explanation: You only flip the inequality when you divide a negative number on both sides. The only reason why you would divide would be to get the variable by itself - in this case the coefficient would need to be negative. That only applies to the third and 4th equations.
Greatest common factor for 63u^5, 45u^4, 27u
Answer:
9 u ^2
Step-by-step explanation:
Answer:
9u
Step-by-step explanation:
Greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u.
We can all divide them by 9, and that is the furthest we can get.
For the variables, the furthest we can get is u.
In conclusion, the greatest common factor for 63[tex]u^{5}[/tex], 45[tex]u^{4}[/tex], and 27u is 9u.
work out
(10 - 3 * 2)
Answer:
4
Step-by-step explanation:
(10 - 3*2)
negative 3 times 2 = -6
10 minus 6 = 4
8(2 + x) = 3x + 16 + 5x
Answer:
x = 0Step-by-step explanation:
8(2 + x) = 3x + 16 + 5x
=> 16 + 8x = 3x + 16 + 5x
=> 8x - 3x - 5x = 16 - 16
=> 0x = 0
=> x = 0 (Ans)
Answer:0
Step-by-step explanation:
everything cancels out
it takes 2 1/2 cups of sugar to make 4 dozen sugar cookies. How much sugar is needed to make 120 sugar cookies
Answer:
6.25 cups of sugar
Step-by-step explanation:
Let's make a proportion expression:
2.5/48 = x/120
Let x be the amount of sugar needed to make 120 sugar cookies.
Cross multiply:
120*2.5=48x
48x=300
x=6.25
So, you would need 6 1/4 cups or 6.25 cups of sugar to make 120 sugar cookies.
mathematic question
Answer:
i cant see it
Step-by-step explanation:
Answer: im hungry for sum points to eat hmmmmmm
Step-by-step explanation:
plot triangle ABC with coordinates A(-4,5),B(-1,5),C(-1,1)
Answer:
:D
Step-by-step explanation:
Hay 31 personas en un café.Si hay 5 hombres más que mujeres,¿Cuantos hombres y mujeres hay en el café?
Answer: Hay 13 mujeres. (No hablo espanol.)
PLEASE SOMEONE HELP ME FIGURE OUT THESE 4 Ill give you brainiest!
Answer: 5. 83 1/3*pi, or 261.8 (approx.) 6. 2*pi, or 6.28 (approx.) 7. 42 2/3*pi or 134.04 (approx.) 8. 144*pi or 452.39 (approx.)
Step-by-step explanation:
Volume of a circular cone : pi*r^2*h/3
I applied the formula to find these answers
3 1/2 + 7/15 multiply 1 1/4
Answer:
3 1/2 +7/15×11/4
7/2 +7/15×11/4
119/30×11/4
1309/120
Answer:
[tex]{ \tt{(3 \frac{1}{2} + \frac{7}{15} ) \times 1\frac{1}{4} }} \\ \\ = { \tt{ \frac{119}{30} \times \frac{5}{4} }} \\ \\ = 4 \frac{23}{24} [/tex]