Answer:
x + 2y + 1 = 0
-5x+3y-21 = 0
(3-2) = 1
Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.
Answer:
The cone holds 9.8 cubic inches ice cream
Step-by-step explanation:
Height of cone = 6 inches
The circular opening at the top is 2.5 inches across
Diameter of cone = 2.5 inches
Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]
Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]
Volume of cone = [tex]9.8125 in^3[/tex]
Hence the cone holds 9.8 cubic inches ice cream.
Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points
Answer:
a) 10x + 8 = 21
b) x = 1.3
Step-by-step explanation:
The line of symmetry is a vertical line that passes through point C.
That makes sides BC and CD congruent, and sides AB and ED congruent.
perimeter = AB + BC + CD + DE + EA
perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8
perimeter = 21
a) Equation:
10x + 8 = 21
b)
10x + 8 = 21
10x = 13
x = 1.3
Question 1
(01.01 LC)
Which of the following is a rational number? (1 point)
square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices
square root of 48
square root of 49
square root of 50
square root of 51
Answer:
49
Step-by-step explanation:
7 is rational and it's the square root of 49.
Answer:
[p
Step-by-step explanation:
Question 10(Multiple Choice Worth 5 points)
(01.01 LC)
Which of the following is a rational number?
square root of 15, square root of 16 square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
please help i give ponts
Answer:
x+5+2/x+2
Step-by-step explanation:
Using polynomial division you can simplify the expression to find the above numerical answer
Answer:
x+5+2/x+2
Step-by-step explanation:
PLEASE HELP!!!
I don't understand....
If possible, please explain!
Answer:
A. HL
Step-by-step explanation:
It cant be B because you cant do SSA
Its not C. Because there is only 1 angle
and it cant be D because the angles dont line up.
So is A. HL
What is the simplest form of this expression y2 (3y + 4) + 5y3
Answer:
y2 (3y + 4) + 5y3 :))
Step-by-step explanation:
please give me a good rating lol
Answer:
y2(3y+4)=5y3
Step-by-step explanation:
Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2
The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²
How to find the surface area of a pyramid?
The surface area of the rectangular pyramid is the sum of the whole areas.
The total surface area is the sum of the whole area.
A rectangular pyramid has 4 triangular faces and a rectangular base.
Therefore,
total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²
total surface area = 108.6 cm²
Therefore, the total surface area of the rectangular prism is 108. 6cm²
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Find the value of x and the value of y.
Answer:
B.
Step-by-step explanation:
If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.
Then, you can just make an equation:
2x + 2x - y + y + 60 + 40 = 360
4x = 260
x = 65°
Now you can use same side interior angles to make another equation:
2x - y + 60 = 180
130 + 60 - y = 180
y = 10
In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140
The solution is, the value is 35 degrees, is the measure of ZXYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given diagram, we get,
Using the intersecting secant theorem:
Angle xyz = 1/2( wz- XX)
Xyz = 1/2(175-105)
Xyz = 1/2(70)
Xyz= 35
The solution is, the value is 35 degrees, is the measure of ZXYZ.
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What is the converse of the following statement ?
If two triangles are congruent, then their corresponding angles are congruent.
Answer: C
Step-by-step explanation: Converse means the reversed statement
3. If two triangles are not congruent, then their corresponding angles are not congruent. the converse of the following statement is option C.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given statement:
"If two triangles are congruent, then their corresponding angles are congruent."
1. If the corresponding angles of two triangles are congruent, then the triangles are congruent.
This is not the converse of the following statement.
2. If two triangles are congruent, then their corresponding angles are congruent.
This is not the converse of the following statement.
3. If two triangles are not congruent, then their corresponding angles are not congruent.
This is the converse of the following statement.
4. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent This is not the converse of the following statement.
Thus, the converse of the following statement is option C.
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What is the exponential form of log4 16 = 2?
Explenation:
Logarithm
log
b
x
is the exponent of a power with base
b
which gives the number under
log
sign (
x
).
In this example we can say that:
log
4
16
=
2
because:
4
2
=
16
Step-by-step explanation:
this is the other part! please help!
Answer:
Line B
Step-by-step explanation:
Line b is the the correct answer because the line has the most dots near or on it
PLEASE HELP, ILL GIVE BRAINLIEST.
URGENT.
Answer:
y=1/2x+0
Step-by-step explanation:
slope is 1/2
y=1/2x+b
plug in (0,0)
b=0
y=1/2x+0
Answer:
Equation: y=1/2x
Step-by-step explanation:
The equation's formula is: y=mx+b
m is slope b is y-intercept
Please mark brainliest! Hope this helps :)
Find the measure of arc BGF
180°
Step-by-step explanation:
measure of half a circle arc is 180
From B to F is 180 degrees because BF is a diameter.
Answer: 180 degrees
Math question down below
Answer:
answer is E
Step-by-step explanation:
Answer:
Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)
Step-by-step explanation:
A. 2 x [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{9}[/tex] (incorrect)
B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)
C. 2 ÷ 9 = 0.22 (incorrect)
D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)
E. 9 ÷ 2 = 4.5 (correct)
An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would produce a valid sample.
Do you mean restaraunt?
Every 10th customer Every 15th customerSomething like that. I hope this helps.
you can choose more than 1
Answer:
A
Step-by-step explanation:
If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.
Hope this helped!
Answer:
A
Step-by-step explanation:
If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.
Pleaseee help!!!!......
Answer:
D
Step-by-step explanation:
Create a list of steps, in order, that will solve the following equation.
3(x+2)^2=48
Answer:
Start with the given equation.
%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.
%28x-2%29%5E2=16 Reduce.
x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.
x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.
x-2=4 or x-2=-4 Take the square root of 16 to get 4.
x=2%2B4 or x=2-4 Add 2 to both sides.
x=6 or x=-2 Combine like terms.
Step-by-step explanation:
Find the missing values (4,16) and (x,24)
Answer:
(6, 24)
Step-by-step explanation:
Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
O They are alternate interior angles. Angle A
measures 125°
O They are vertical angles. Angle A measures 125º.
They are corresponding angles. Angle A measures
55°
Answer:
A. They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
Got it right on Egd.
Option A.) is correct. They are same side interior angles. Angle A measures 55°.
What is angle?The angle can be defined as the one line inclined over other line.
questions seem to be in incomplete, Although question could be
what would be sum of the interior angles of a quadrilateral.
The sum of the interior angle = 180
A = 180-125
A = 55°
Thus, the required Angle A measures is 55°.
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Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm
Answer:
5089.38 cm OR 1620π
Step-by-step explanation:
The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!
Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.
The volume of a cylinder can be calculated by the formula:
= π x radius² x height
Solving will give:
= π x 9² x 20
= π x 81 x 20
= 5,091.43 cm³
In conclusion, the volume is 5,091.43 cm³
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On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)
Answer:
A' = (-3, 3)
Step-by-step explanation:
If the points are as follows:
A = (-3, -1)
B = (-2, -3)
C = (1, -1)
When reflecting across a y axis the x values remain the same.
When reflecting across y = 1 the y values will remain equal distant from y = 1.
A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3
B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5
C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3
Answer:
A' = (-3, 3)
Step-by-step explanation:
Data was collected on the weight of a male laboratory rat for the first 25 weeks
after its birth. The linear regression equation is y= 40x+100, where x is number of
weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
The predicted weight of the rat in year 0.
The current weight of the rat.
The predicted weight of the rat at birth
The average increase in the rat's weight
Answer:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
Step-by-step explanation:
For this case we have the following equation given:
[tex] y = 40x +100[/tex]
where x is number of weeks and y is weight in grams.
For this case the y intercept is the value 100 and represent the initial weight for 0 weeks and the best interpretation for this case is given by:
The predicted weight of the rat at birth
And the reason is because the starting value for the weigth represent the weight for the birth
How many times greater is the value of the 4 in 42,672 than the value of the 4 in
37,426?
Answer:
Step-by-step explanation:
Value of 4 in 42,672 = 40,000
Value of 4 in 37,426 = 400
40,000 ÷ 400 =100
Value of 4 in 42,672 is 100 times greater than value of 4 in 37,426
A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32
Answer:
$10
Step-by-step explanation:
4% of 500 is 5 dollars and two years is 10
what is the answer to:
16^3/2
In my view the answer is 2,048
I am not sure about this answer..so if it is mistake then sorry
Answer:
[tex]16^\frac{3}{2} = 64[/tex]
Step-by-step explanation:
[tex]16^\frac{3}{2}[/tex]
Factor the number: [tex]16 = 4^2[/tex]
[tex]= (4^2)^{\frac{3}{2} }[/tex]
Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]
[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]
[tex]= 4^3[/tex]
Refine:
[tex]=64[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.
Answer:
y = -7x+4
Step-by-step explanation:
We can use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = -7x+b
We have a point to substitute in for x and y
-3 = -7(1) +b
-3 = -7+b
Add 7 to each side
-3+7 =b
4 =b
We can substitute this back into
y = -7x+b
y = -7x+4
Answer:
y+-7x+4
Step-by-step explanation:
y-y1=m(x-x1)
y+3=-7(x-1)
y+3=-7x+7
y=-7x+4
Using the unit circle find the exact value. CSC -30º =
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]
sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus
csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2
Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.
Answer:
r=3 ft
Step-by-step explanation:
it is similarity of two triangles
one
perpendicular side=10 ft
base=10/2=5 ft
second
perpendicular side=10-4=6 ft
Base r=?
[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]