The length of the segment AB is 11
How to determine the length of the segment?The given parameters are:
A = -4
B = 7
The length of the segment is calculated as:
AB = |A - B|
Substitute known values
AB = |-4 - 7|
Evaluate the difference
AB = |-11|
Take the absolute difference of 11
AB = 11
Hence, the length of the segment AB is 11
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The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13m. What is the actual height of the tower?
Answer: The actual height of the tower is 91m
[tex]\frac{14}{x}=\frac{2}{13} \\x=\frac{14\times13}{2} \\x=91 m[/tex]
The actual height of the tower is 91 m.
What is scale?An indication of the relationship between the distances on a map and the corresponding actual distances.
Given that, The height of a tower on a scale is 14 centimeters. The scale is 2 cm: 13 m.
Since, 2 cm = 13 m
1 cm = 13 /2 m
Therefore, 14 cm = 14 × 13/2 = 91 m
Hence, the actual height of the tower is 91 m.
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What is the product 6(x^2-1)*6x-1/6(x-1) A)6(x-1)^2 B)6(x^2-1) C)(x+1)(6x-1) D)(x-1)(6x-1
Answer:
D
Step-by-step explanation:
(6x^2-6)×(6x-1)/(6x-6)
Simplify
U get (x+1)(6x-1)
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Evelyn wants to cover the top of a circular table with a price of cork board to protect it from spills. How much cork board will Evelyn need to completely cover the table if the diameter of the table is 48 inches?
Select ALL that apply. (possible answers on image)
Answer:
576π in² and 1,809 in².
Step-by-step explanation:
To find the answer, the formula for the area of a circle, or A = πr², will need to be used.
In this question, we are only given the diameter. Simply divide by 2 to calculate the radius:
48/2 = 24 inches.
Now, plugging this into the equation for the Area of a Circle, gets us:
A = π24²
A = 576π or 1808.64 in².
Looking at the answer choices, we can choose 576π in² and 1,809 in² (as 1808.64 ≈1809)
Complete the sentence.
The bases of a circular cylinder are two ___
ao circles.
Answer:
congruent & parallel
Step-by-step explanation:
The bases of a circular cylinder are congruent and parallel to each other. If you need more explanation, reply to my answer.
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000cm^3 cubed. The base of the box is 25 cm by 10 cm.
Answer:
Complete question:
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.
How tall is the box of cereal?
Answer: 40cm
Step-by-step explanation:
Given that :
A box is normally in the shape of a cube
formula of volume of a cube;
We want to find the height(tallness)
Volume=LengthxWidthxHeight
Volume = 10,000cm^3
Base of box = 25cm by 10cm,
Base of box = Length × width
Therefore:
Length = 25cm, Width = 10cm
Volume = Lengh × Width × Height
10,000cm^3 = 25cm × 10cm × Height
10,000cm^3 = 250cm^2 × Height
Height = 10,000cm^3 ÷ 250cm^2
Height = 40cm
What is the 5th term of the linear sequence below?
−
-5,-2,1,4,7,
Answer:
The sequence has '+3' each time, so the next will be 10
Step-by-step explanation:
it is 10 cuz it goes from -5 adding 3
Write in slope-intercept form an equation of the line that passes through the given points.
Answer:
y = x+5
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
m = (7-3)/(2 - -2)
=(7-3)/(2+2)
= 4/4
= 1
The slope intercept form is
y = mx+b
y = x+b
Substitute a point in
7 = 2+b
Subtract 2 from each side
5 =b
y = x+5
Answer:
y = x + 5
Step-by-step explanation:
m = (y2 - y1) / (x2 - x1)
= (7 - 3) / (2 - (-2))
= 4/4
= 1
Since y = mx + b and m = 1,
y = (1) * x + b
y = x + b
7 = 2 + b
b = 5
Putting b = 5 in y = x + b, we get:
y = x + 5
Hope this helps!
What is the solution set of -|-x| = -12
Answer:
{-12,12}
Step-by-step explanation:
-|-x| = -12 multiply both sides by -1
|-x| = 12 apply rule for solving absolute value equations
-x = 12 and -x = -12 solve
x = -12 and x =12
Can someone help me with this one I’m stuck please and thank you
Answer:
none of them it should be ac,cb,ab. From my point of view
Write in standard form an equation for the line with slope 1/3 through
the point (2,-2).
Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular prism? A. 109 cubic units B. 156 cubic units C. 970 cubic units D. 1,248 cubic units
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
Answer: D. 1,248 cubic units
Step-by-step explanation:
The formula for a rectangular prism volume is: V = Length x Width x Height.
In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.
12 x 8 x 13 = 1,248. Therefore D is correct!
Hope this helped you!
Please help me simplify these expressions
Answer:
4. -2s^9
7. 8b^10
Step-by-step explanation:
First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.
2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.
Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.
It may help to brush up on exponent rules and sign rules.
Given ΔJKL, the following steps were performed to construct triangle ΔXYZ so that ΔJKL ≅ ΔXYZ.
1.Copy side JL to form XZ.
2.Copy angle ∠LJK to form ∠ZXY.
3. Copy side JK to form XY.
4. Construct segment YZ.
Which congruency theorem can be applied to prove that the triangles are congruent?
a) ASA
b) SSS
c) AAS
d) SAS
Answer:
it's SAS. You've probably found out by now sorry :/
Step-by-step explanation:
Answer:
sas
Step-by-step explanation:
Will Mark Brainliest ! Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
Answer: [tex]726 cm^{2}[/tex]
Step-by-step explanation:
surface area(SA)= [tex]6s^{2}[/tex]
= [tex]6*(11)^{2}[/tex]
= [tex]6*121[/tex]
= [tex]726 cm^{2}[/tex]
s= the length of the side of the cube
Each handful of cheese covers 21 sqaure inches. How much handful of cheese they need to cover 5 slices of cheese with a area of 125.7in
Answer: 30
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)
125.7 (5) = 628.5 in2
Finally we have to divide that result by the area that each handful of cheese covers (21 in2)
628.5 / 21 = 29.92 = 30 handful of cheese
Feel free to ask for more if needed or if you did not understand something.
Answer:
30
Step-by-step explanation:
Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
a) Find the distance between point A and the midpoint of segment QB
b) Find the distance between the midpoints of segments AP and QB
Answer:
a) 7a/8; b) 5a/8
Step-by-step explanation:
Given:
AP = 2PQ = 2QB
Calculations:
1. A to the midpoint of QB
a = AP + PQ + QB
If 2PQ = 2QB.
PQ = QB and
AP = 2PQ
∴ a = 2PQ + 2PQ = 4PQ
PQ = a/4
AP = 2PQ = a/2
Let M be the midpoint of QB.
AM = AP + PQ + QM
= a/2 + a/4 + a/8
= 7a/8
2. Midpoints of AP and QB
Let N be the midpoint of AP
NM = NP + PQ + QM
= a/4 +a/4 + a/8 =
= 5a/8
A diver needs to descend to a depth of 100 feet. She wants to do it in 5 equal descents. How far should she travel in each descent?
Answer:
20 feet
Step-by-step explanation:
5 descent =>100 feet
1 descent => 100÷5
= 20 descent
What is the gradient of the graph shown?
Answer:
-1/2
Because, for every one square, the line goes down by 1/2.
Answer:
- 0.5
Step-by-step explanation:
To find the gradient of a line,
divide the value of decrease by the value across.
So, count across from the extreme left toll the extreme right = 13
Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5
Now, you divide: 6.5 divided by 13 = 0.5
Since we counted down, it is negative = -0.5
Please mark brainiest
Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, or vertical.
Answer:
see below
Step-by-step explanation:
Because there is the right angle symbol on the chart these angles are complementary meaning thety have a sum of 90°.
Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]V=122.5in^3[/tex]
Step-by-step explanation:
The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .
So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).
[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]
Answer:
122.5
Step-by-step explanation:
find the volume of prism
pls!! show how you got the volume
Answer:
7.5
Step-by-step explanation:
Add each number then divide at the end
Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante al primero si su hipotenusa mide 15m?
Answer: Los catetos medirán 12m y 9m.
Step-by-step explanation:
Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.
Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.
Cos(X) = cateto adyacente/hipotenusa
Si tomamos al cateto adyacente como 8m, tenemos:
Cos(X) = 8m/10m
X = Acos(8/10)
Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1 y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:
C1/15m = 8m/10m
C1 = (8/10)*15m = 12m
C2/15m = 6m/10m
C2 = (6/10)*15m = 9m.
A student is decorating a circular picture frame that has a diameter of 8 inches. How many inches of fabric will the student need to go completely around the outside of the frame?
Answer:
B
Step-by-step explanation:
Circumference is equal to [tex]\pi d[/tex]
[tex]C=\pi d[/tex]
[tex]C=\pi \times 8[/tex]
Answer:
there u go
Step-by-step explanation:
Anyone answer ASAP now plzz
Answer:
x = -0.189x= -15.810Step-by-step explanation:
I hope it helps
finding angle measures using triangles
In the given diagram ∠AJF or x comes to be 76°.
What are opposite angles?Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.
We know that ∠JIH+∠JID=180°
107° +∠JID=180°
∠JID=180°-107°
∠JID=73°
∠JDI=31°(given))
In triangle JDI,
∠JDI+∠JID+∠IJD=180°
31° + 73° + ∠IJD =180°
∠IJD =76°
We know that ∠IJD and angle x° are opposite angles.
So, x=76°
Therefore, In the given diagram ∠AJF or x comes to be 76°.
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I have worked the answer to a which is 301.6 but I’m not too sure how you work out b any help would be much appreciated!
Answer:
188.5 cm^2
Step-by-step explanation:
a) Your volume is correct.
b) The curved surface area of the cone is called the lateral area.
Its formula is:
LA = (pi)rs,
where pi is 3.14159...
r = radius of the base
s = slant height of the cone
Here, r = 6 cm, and s = 10 cm
LA = (3.14159)(6 cm)(10 cm)
LA = 188.5 cm^2
Define surface area and volume. List an example of a situation where you would find surface area and a situation where you would find volume.
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.
Answer: Surface area is the sum of the areas of the faces of a solid. It is measured in square units. Volume is the amount of space taken up by a solid. It is measured in cubic units. Surface area would be used to find the amount of wrapping paper for a gift, and volume would be used to find how much would fit into a box.
Step-by-step explanation:
At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaining students ride the bus to school.
Is there are 800 students who attend this school, how many students use each form of transportation?
Answer:
please give more clarification
Answer:
Walk: 240
Ride 160
Car 100
Rest 300
Step-by-step explanation:
Walk:
30%
.30 * 800 = 240
Ride
20%
.20 * 800 =160
Car
12.5%
.125 * 800 =100
Rest
100-30-20-12.5 =37.5
.375 * 800 = 300
