Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
Nearest hundredth
X2+2x+7=21
Step-by-step explanation:
subtract 21 from both sides
x2+2x+7-21=21-21
x2+2x+14=0
use quadratic equation
x=(-3+-(b^2-4ac)^1/2)/2a
in our equation a=1,b=2and c=14
(-2+-(14+56)^1/2)/2
x=-1+(60^1/2)/2
there is only one positive answer and it is 2.87
Which side of XYZ is the longest?
262
63
X
A. XY
B. XZ
C. YZ
o
D. Cannot be determined
Answer:
A. XY
Step-by-step explanation:
XY because it's opposite to the greatest angle.
Answer:
A.XY
Step-by-step explanation:
Identify the method that will be used in solving for x.
5 + x = 3/4
A.) distributive property
B.) multiplication property of equality
C.) division property of equality
D.) subtraction property of equality
Answer:D subtraction property of equality
Step-by-step explanation:
write with fractional exponents. (do not use parentheses)
ASAP ASAP IM REALLY BAD AT ALGEBRA ): !!!!!
Answer:
4y^3/2
Step-by-step explanation:
The 4 will remain 4 so we'll leave that alone. √y³ can be written as y^3/2. The way I like to remember how to write fractional exponents is that the index of the radical is the denominator of the fractional exponent and the exponent inside the radical is the numerator.
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?
A. $18 tickets cost $10 AND 52 tickets cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
WILL GIVE BRAINLIEST WHEN I CAN!!!!!!
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
How many unique triangles can be made when one angle measures 90° and another angle is half that measure? 1 2 More than 2 None
Answer:
1
Step-by-step explanation:
I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.
Answer:
1
Step-by-step explanation:
A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.
The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3?
They are same-side interior angles, so angle 3 measures 50°.
They are alternate interior angles, so angle 3 also measures 130°.
They are corresponding angles, so angle 3 also measures 130°.
They are alternate exterior angles, so angle 3 measures 50°.
Answer:
They are alternate interior angles, so angle 3 also measures 130°.Step-by-step explanation:
Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.
Therefore, the right answer is B.
Please I need help
With this question thank you for your help me
Answer:
Using CPCTC we can derive that WM = 8 and OL = 10.
What is the equation of a circle with center (-3,-1) that contains the point (1,
2)?
Answer:
(x+3)^2+(y+1)^2=25
Step-by-step explanation:
the distance of the center and the point is the radius of the circle
distance=(4^2+3^2)^(1/2)=5
(x+3)^2+(y+1)^2=25
What is the volume of the sphere shown below?
--12-
A. 5767 units 3
B. 691277 units3
C. 23041 units
O D. 19271 units3
Answer:
answer is B
Step-by-step explanation:
Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.
What is a sphere ?A sphere is a three dimensional solid shape. It is a set of points that are all at the same distance r from a common point. The distance r is the radius and the common point is the centre of the sphere.
Here,
The radius of the sphere is given by,
r = 12 units
The equation for volume of a sphere with radius r is given by,
V = 4/3 [tex]\pi[/tex]r³
So, the volume of the sphere is,
V = 4/3 x [tex]\pi[/tex] x 12³
V = 2.304 [tex]\pi[/tex]
V = 7234.56 unit³
Hence,
Volume of the sphere is 2.304[tex]\pi[/tex] unit³ or 7234.56 unit³.
To learn more about sphere, click:
https://brainly.com/question/12390313
#SPJ7
EASY question for y’all mathy people, easy points! Question in photo.
Answer:
Step-by-step explanation:
A linear function is a line which, in slope-intercept form, follows
y = mx + b,
where m is the slope and b is the y-intercept.
The only one that follows that form is B. B can be rewritten as
[tex]y=\frac{1}{3}x+2[/tex]
and in that form we see that the slope value is 1/3 and the y-intercept is 2. The choice is B.
A is a radical function moved up from its originating spot; C is an inverse function moved down 4 units from its originating spot with a vertical asymptote at x = 0; and D is a cubic moved down 10 units from its originating spot.
B is the one you want.
pls help me pls pls pls help me. thanks.
Answer: y = 3
Step-by-step explanation:
14/y - 2/3 = 4
14/y = 4 + 2/3
14y = 14/3
y = 3
The polynomial f(x) is written in factored form: f(x) = (x − 3)(x + 8)(x − 11) What are the zeros of the polynomial function?
x = 3, x = 8, x = 11
x = 3, x = −8, x = 11
x = −3, x = 8, x = −11
x = −3, x = 3, x = −8, x = 8, x = −11, x = 11
Answer:
x=3 x = -8 x = 11
Step-by-step explanation:
f(x) = (x − 3)(x + 8)(x − 11)
Using the zero product property
0 = (x − 3)(x + 8)(x − 11)
0 = x-3 0 = x+8 0 = x-11
x=3 x = -8 x = 11
Answer:
x=3 x = -8 x = 11
Hope this helps!
HELP QUICKLY Christina and Youssef work in office buildings that are 80 feet away from each other. From the top of her office building, Christina notices that the angle of elevation to the top of Youssef’s building is 45°. The angle of depression from Christina to the base of Youssef’s building is 56°. Find the height of Youssef’s office building, rounded to the nearest tenth of a foot.
Answer:
About 198.6 feet
Step-by-step explanation:
This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.
Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:
[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]
Now, let's do it for the upper part, which we'll call y:
[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]
Adding these together, you get a height of approximately 198.6 feet. Hope this helps!
Answer:
answer is 198.6
Step-by-step explanation:
Express 0.96 as an percent
Answer:
96%
Step-by-step explanation:
0.96 × 100/100
(0.96 × 100)× 1/100 = 96/100
percentage = 96%
Answer:
96%
Step-by-step explanation:
Which of the following statements uses the commutative property of addition
2+(3+4)=(2+3)+4
2+(3+4)=(2+3)+(2+4)
2+(3+4)=2+(4+3)
Answer:
the first one
Step-by-step explanation:
The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.
Find the slope and the y-intercept of the graph of the linear equation. y = −7x + 2 *
Answer:
slope = - 7, y- intercept = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 7x + 2 ← is in slope- intercept form
with slope m = - 7 and y- intercept c = 2
A right rectangular prism has a length of 2 and 1/2 ft a width of 3ft and a height of 1 and 1/2. Unit cubes with side lenghts of 1/2 ft are added to completely fill the prism with no space remaining. What is the volume in cubic feet of the rectangular prism?
Description:
Formula: length * width * height (L*W*H)
volume of larger prism
vp=45/4 ft^3 =11.25
vs=1/2*1/2*1/2
vs=0.125 ft^3
n=vp/vs
n= 11.25/.125
n=90
Answer: 90 smaller cubes will completely fill in the prism
Please mark brainliest
Hope this helps.
Use the quadratic formula to solve the equation. 9x2−7x+1=0 Enter your answers, in simplified radical form. x = x =
Answer:
[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]
Step-by-step explanation:
I'm not too good with the quadratic formula so I'm going to complete the square.
First divide everything by 9 and move the 1 to the other side.
[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]
Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.
[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]
Now you can factor it.
[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]
Square root:
[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]
[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]
Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
40
Step-by-step explanation:
To find the maximum we need to find the vertex. We can do this by writing the equation in vertex notation by completing the square.
A(w) = -w(w - 80)
= -w² + 80w
= -(w² - 80w) = -(w - 40)² + 160
The vertex is then (40, 160) and since we are looking for the value of w it will be 40.
What are the equations of the asymptotes for the function?
f(x)=−3x/−1 −1
vertical asymptote: x=
horizontal asymptote: y=
Answer:
Vertical asymptote x= 1
Horizontal asymptote y= -1
Step-by-step explanation:
Answer:
no asymptotes
Step-by-step explanation:
since y=-3x-1-1 is not a ratinal expression there are no asymptotes.
Mr. Landry, the owner of Blissful Bites Bakery, prepares 30 pounds of cake batter each morning. Mr. Landry uses half of the cake batter to make large cupcakes. If he makes 48 cupcakes, how many ounces of cake batter does he use for each cupcake?
Answer:
5 ounces
Step-by-step explanation:
Mr. Landry prepares 30 pounds of cake batter each morning and he uses half of the cake batter to make large cupcakes.
This means that he uses 15 pounds of cake batter.
He makes 48 cupcakes with the batter.
Therefore, the number of pounds of batter he uses per cake is:
15 / 48 = 0.3125 pounds
We have to convert it to ounces.
1 pound = 16 ounces
=> 0.3125 pounds = 16 * 0.3125 = 5 ounces
He uses 5 ounces of cake batter for each cake.
Answer:
5 ONCES
Step-by-step explanation:
sry i had caps on but i did the math
Please Somebody Help Me!
Answer:
-15
Step-by-step explanation:
g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6
f(-2) = (-2)^2 -3 = 4 -3 = 1
3* [g(-1)+ f(-2) ]
3( -6+1)
3 ( -5)
-15
jill mixes two types of concentrations od hci (hydrochloric acid) 0.375 liters of 25% hydrochloric acid and 0.625 liters of 65% hydrochloric acid. what is the hcl concentration in the mixed solution?
Answer:
The concentration of HCl in the mixture is 1L of 50% HCl
Step-by-step explanation:
Here, we want to know the percentage of HCl present which refers to the its concentration.
Firstly, the total volume we have is 0.375 + 0.625 = 1 L
we can calculate the percentage as follows;
The percentage of the 25% present is 37.5%
while the percentage of the 75% present is 62.5%
When we say the percentage present, we are referring to the amounts of the total liters which is 1 present.
So the concentration of the final mixture will be;
(37.5% of 25) + (62.5% of 65)
= 9.375% + 40.625%
Adding both gives = 50%
So the concentration we have is 1L of 50% HCl
Fatima has 72 oranges. Four oranges are needed to make a glass of freshly squeezed orange juice. How many glasses of orange juice can she make?
Answer:
Step-by-step explanation:
18
salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school
Answer:
So how many he has left to do???
I think Salim has to finish 5 more problems
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
B
Step-by-step explanation:
there's no point on x^2 +3 at 4 so x < 4 making it B
Given that a = (1), b = (2) and c = (0)
2-122
Find :
1. a + b
2. a - b
3. a-c
4. a + c
5. a + b + c
6. a-b-c
7. c-a
8. b-a
9. b + c
10. C - b
Step-by-step explanation:
1+2=31-2=-11-0=11+0=11+2+0=31-2-0=-10-1=-12-1=12+0=20-2= -2What is the product?
(-35 +21)(45-1)
Answer:
-616
Step-by-step explanation:
First subtract 35 with 21 since 35 is a negative. then subtract 45 with 1
for the first parenthesis would be -14. the second parenthesis would be 44.
then multiply both of the answers together to get -616
Answer:-220
Step-by-step explanation:
please help me I’m struggling :( , sorry about it being sideways.
