Elena should put a point where the two circles intersect and draw line segments connecting that point to points A and B to finish her triangle.
ΔABC and ΔABD are the required Triangle.
What is Construction?Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this. Perpendicular bisector and angle bisector are the fundamental constructions.
We have,
Elena is trying to draw a triangle with side lengths 4 inches, 3 inches, and 5 inches.
Elena should find the intersection of two circles at point C and point D.
Connect point B and C, A and C or connect them.
ΔABC and ΔABD are the required Triangle.
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what is -10(-7x-7)-4(-8x-9)
Answer:
The answer is -202
Which is true about the domains and ranges of the functions f(x) = 1/8 (x) and g(x) = 8(x) ?
Answer:
both have a domain and range of all real numbers
Step-by-step explanation:
Suppose a bag contains 5 balls numbered 1 through 5. In how many way scan you select 5 balls from the bag if there is no replacement after selection?
Answer:
5
Step-by-step explanation:
We are being asked in how many ways an enumerated ball can be removed without any type of replacement, therefore it would be a combination without repetition:
nCr = n! / r! * (n-r)!
n, total number of balls, 5
r, specific number of balls, 1
5C1 = 5! / (1! * 4!) = 5
Therefore there are 5 ways to do the above.
Given: mlln
What is the value of x?
Answer:
x = 8°
Step-by-step explanation:
m II n
Alternate interior angles are equal.
6x - 2 = 46
6x = 46 +2
6x = 48
x = 48/6
x = 8
Answer:
8
Step-by-step explanation:
When you have a line intersecting parallel lines, the opposite interior angles are always the same.
46 + 2 = 48
48 / 6 = 8
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
B and C
Step-by-step explanation:
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Doing this question now! :)
Applying the appropriate volume formula for the square pyramid and prism, the statements that are true are: B and E.
What is the Volume of Square Pyramid?Volume = 1/3(a²)h
What is the Volume of a Triangular Prism?Volume = 1/2(a)(b)(h)
What is the Volume of a Rectangular Prism?
Volume = lbh
Space inside Greenhouse 1 = volume of rectangular prism + volume of square pyramid = lbh + 1/3(a²)h
= (12)(12)(10) + 1/3(12)(12)8
= 1,824 m³
Space inside Greenhouse 2 = volume of rectangular prism + volume of triangular prism = lbh + 1/2(a)(b)(h)
= (12)(12)(10) + 1/2(12)(8)(12)
= 2,016 m³
Space inside Greenhouse 2 - Greenhouse 1 = 192 m³
The true statements are B and E.
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2.094 2.702 which is greater than
2.75 2.6 which is greater than
8.235 8.1 which is greater than
21.337 21.31 which is greater than
Answer:
1- is 2.702
2- is 2.75
3- 8.235
4- 21.337
Step-by-step explanation:
The question involves comparing decimal numbers. The larger numbers for the pairs given are 2.702, 2.75, 8.235 and 21.337 respectively. The rule for comparing decimals is to start from the left and compare digits in the same position.
Explanation:The question asks to identify which of the two numbers for each pair is larger. It's clear this involves a basic understanding of comparing decimals, which is a key skill in mathematics.
Between 2.094 and 2.702, 2.702 is greater.Between 2.75 and 2.6, 2.75 is greater.Between 8.235 and 8.1, 8.235 is greater.Between 21.337 and 21.31, 21.337 is greater.
The rule for comparing decimals is to start from the left and compare digits in the same position. This way, you can identify which number is larger or smaller.
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the figure is the net for a rectangular prism. what is the surface area of the rectangular prism represented by the net? enter your answer in the box.
Answer:
544
Step-by-step explanation:
A group of 100 students were asked if they study French or Spanish in school. The results are shown in this two-way table.
Which statements are correct? Check all that apply.
Answer: A,C,D
Step-by-step explanation:
Answer:
A,C,D on edg, 2021
Step-by-step explanation:
Does the graph f(x)=-2x^2 -1 have a maximum or a minimum? Explain.
Answer:
It has a maximum
Step-by-step explanation:
The way I think about it is looking at "a" (the leading variable's coefficient, so __x²), if it's negative, the graph is a frown, but if it's positive, it's a smile. In this case, a is -2, so the graph would have the shape of a frown, which has a maximum.
I hope this helped!
someone help please!!
Answer:
9. 0.3
10. 0.0
11. 0.4
12. 0.3
Step-by-step explanation:
I am not 100% sure about this, but this is what I could come up with.
Which equation is used to find the experimental probability of an event?
Please help me solve this question
Answer:
x=12
Step-by-step explanation:
The shapes are similar, so their corresponding sides will be proportionate
Use the bases and the right most sides to create the proportion
14/56=3/x
Cross multiply
14*x=56*3
14x=168
Divide both sides by 14
x=12
Answer:
missing side is x =12
Step-by-step explanation:
[tex]given \: that \: two \: figures \: are \: similar \\ correspondung \: sides \: are \: proportional \\ let \: us \: take \: any \: two \: sides \: \\ including \: the \: value \: of \: x \\ \frac{10}{40} = \frac{3}{x} \\ \frac{1}{4} = \frac{3}{x} \\ x = 3 \times 4 \\ x = 12[/tex]
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In the Three-Dimensional Figures and Cross Sections section, what is the difference between a prism and a pyramid? *
Answer:
A prism has two identical bases that are parallel. A pyramid has one base. A prism or pyramid is named for the shape of its base.
Final answer:
The primary difference between a prism and a pyramid is their base shapes, the number of vertices, edges, and faces, with prisms having parallel and congruent bases while pyramids have triangular faces that meet at an apex.
Explanation:
The main difference between a prism and a pyramid lies in the shapes of their bases and the number of faces, edges, and vertices. A prism is a polyhedron that has two parallel and congruent faces called bases that are polygons of the same shape and size, and the other faces, known as lateral faces, are parallelograms resulting from connecting the corresponding vertices of the two bases. In contrast, a pyramid has a polygonal base and triangular faces that connect the base to a single point called the apex. A prism has as many lateral faces as the sides of its base, while a pyramid has as many triangular faces as the sides of the base polygon. Another way to distinguish them is by their vertices and edges; a prism will always have twice as many vertices and edges in the sides of the bases than a pyramid with the same shaped base.
y = 2×2square+ 4× - 2 value
Answer:
y=2(2x+3)
Step-by-step explanation:
y=2*2^2+4x-2
y=8+4x-2
y=4x+6
y=2(2x+3)
A sphere has a volume of 32/3 pie cubic units what is the radius of the sphere
Answer:
radius=2
Step-by-step explanation:
volume= 4/3 pi r^3
32/3pi=4/3r^3
divide out 4/3
8pi=r^3
cube root
r=2
Work out the surface area of a
cuboid 3cm by 3cm by 4cm?
Answer: 14 cm
Step-by-step explanation:
Answer:
It was 36 cm3
Step-by-step explanation:
3cm x 3 cm x 4 cm
=36 cm3
Which statement is true about the data set 4, 5, 6, 6, 7, 9, 12
Answers:
A: mean=mode
B: mode=median
C: mean < median
D: mode > mean
Answer:
b
Step-by-step explanation:
Because there are two sixes so that is the mode and the middle is 6 so that would be the middle and both of them are six so the answer would be B
The mode and the median have the same value which is 6. Therefore, option B is the correct answer.
The given data set is 4, 5, 6, 6, 7, 9, 12.
What is the mode?The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all.
The mode of the given data is 6.
Median: The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average.
The median of the given data is 6.
Mean = (4+5+6+6+7+9+12)/7
=49/7 = 7
Here, the mode and the median have the same value which is 6. Therefore, option B is the correct answer.
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The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
A)5 B)7 C)9 D)11
Answer: C
because
it is
Answer:
Step-by-step explanation:
the answer is B cause a Supplementary angles sum is 180°. So, set the angles equal to 180° and solve for x.
11x + 8 + 12x + 11 = 180
23x + 19 = 180
23x = 161
x = 7
what is Pythagorean theorem
Answer:
Pythagorean theorem - theorem that states that the sum of the squares of the two legs is equal to the square of the hypotenuse in a right triangle
Help me! Thank you! :)
Look at the attached picture ⤴
Hope it will help u..
Answer:
14
Step-by-step explanation:
Find the sum -6/3 - (-7/15)
Answer:
-1 [tex]\frac{8}{15}[/tex]
Step-by-step explanation:
That's the answer I think
Answer:
- 23/15 or - 1 8/15
Step-by-step explanation:
When you want to subtract fractions, you first want to see if they have the same denominator. In this case, there isn't a common denominator so we need to make it so there is. Since 15 is the larger one and a multiple of 3, we can change -6/3 to -30/15 by multiplying the top and bottom by 5. Now the double negatives cancel each other out so instead of -30/15 - (-7/15), it will be -30/15 + 7/15. Add them together and you get -23/15.
Round 88.27 to the nearest one.
Answer:
88
Step-by-step explanation:
Basically you look at the number after the decimal point and if it is below 5 it will turn to 88. If it is over 5 it will be a 89. For this you also ignore the 7. The 7 does not mean anything.
What is the volume of a 3 foot tall cylindrical trash can with a 1 foot radius
The volume of the cylindrical trash can with a 1 foot radius and 3 foot height is 9.426 cubic feet.
Explanation:The volume of a 3-foot tall cylindrical trash can with a 1-foot radius can be calculated using the formula V = πr²h, where r is the radius and h is the height.
Given that the radius is 1 foot and the height is 3 feet, we can substitute these values into the formula:
V = 3.142 × (1 foot)² × 3 feet = 9.426 cubic feet
Therefore, the volume of the trash can is 9.426 cubic feet.
What is the approximate circumference of the globe?
Part of the North Carolina Museum of Natural Sciences
is a model of a three-story globe. Assuming the globe
represents a full sphere, the volume of the sphere would
be approximately 57,166 cubic feet.
z feet
Answer:
70
Step-by-step explanation:
Is u = - 1/2 a solution of 8u - 1 = 6u
Answer:
-1/2 is not a solution
Step-by-step explanation:
8u-1 = 6u
Subtract 8u from each side
8u-1 -8u = 6u-8u
-1 = -2u
Divide each side by -2
-1 /-2 = -2u/-2
1/2 = u
Answer:
No, u = - 1/2 is not a solution of 8u - 1 = 6u
Step-by-step explanation:
[tex]8u - 1 = 6u \\ 8u - 6u = 1 \\ 2u = 1 \\ \\ u = \frac{1}{2} [/tex]
here we get u = +1/2
what is a compound inequality that represents all real numbers that are greater than -8 but less than 8
Answer:
The inequality is "-8 < x < 8" that can also be expressed as x > - 8 and x < 8
Step-by-step explanation:
In this case there are two inequalities. The first one is for all real numbers that are greater than -8. In this case we will represent the real numbers as "x" and this inequality can be represented as:
x > - 8
The second inequality is for all real numbers that are less than 8, this can be represented as:
x < 8
To create the compound inequality we have two use both of the inqualities above:
-8 < x < 8
x > - 8 and x < 8
In this case we use and because the real number must satisfy both inequalities at the same time.
To make a profit, stores mark up the prices on the items they sell. A sports store buys skateboards from a supplier for s dollars. What is the retail price for skateboards that the manager buys for $35 and $56 after a 42% markup ? Which expressions represent the markup of the skateboard, where s is the original cost of the skateboard
Answer:
The retail price for the $35 skateboard = $49.70
The retail price for the $56 skateboard = $79.20
Step-by-step explanation:
Please kindly check the attached files for detalils
Which of the following is a linear function?
y = 3x^2
y = 1 over 3x
y = x^3 + 5
2 over 3x = y − 1
Answer:
y= 1 over 3x
Step-by-step explanation:
I thought it was 2 over 3x but it was wrong so it has to be y= 1 over 3x
Solve for an angle in right triangles help
Answer:
26.39
Step-by-step explanation:
[tex] \sin(B) = \frac{AC}{AB} = \frac{4}{9} [/tex]
[tex]B = {sin}^{ - 1} = \frac{4}{9} [/tex]
[tex] = 26.387[/tex]
[tex] = 26.39[/tex]
Answer: 26.39 degrees
Step-by-step explanation: sin ^-1= 4/9
26.3877
The radius of a dog's collar
should be at least 0.5 inch larger than
the radius of the dog's neck. A dog collar
adjusts to a circumference of 10 to
14 inches. Should the collar be worn
by a dog with a neck circumference of
12.5 inches? Explain.
Answer:
No. The collar should not be worn by this dog.
Step-by-step explanation:
Please kindly go through the attached files for more explanation.
Final answer:
the collar is too small for the dog.
Explanation:
To answer whether the dog collar should be worn by a dog with a neck circumference of 12.5 inches, we must consider the information given: the dog's collar adjusts between a circumference of 10 and 14 inches and it should be at least 0.5 inch larger than the dog's neck circumference.
First, we calculate the radius of the dog's neck using the formula for circumference: C = 2πr. For a neck circumference of 12.5 inches, the radius (r) would be:
C = 2πr
12.5 = 2πr
r = 12.5 / (2π)
r ≈ 1.9875 inches
Now, to ensure comfort, the collar's radius should be at least 0.5 inch greater than the dog's neck radius. Adding 0.5 inch to the dog's neck radius gives us:
1.9875 inches + 0.5 inch = 2.4875 inches
Which means the collar's circumference should be at least:
C = 2πr
C ≈ 2π(2.4875)
C ≈ 15.63 inches
Given that the collar adjusts to a maximum of 14 inches, this would be too small for a dog with a neck radius as calculated. Therefore, the collar should not be worn by a dog with a neck circumference of 12.5 inches, as it would not accommodate the extra 0.5 inch needed for comfort.