Answer:
12 books read per student
Step-by-step explanation:
1000 divided by 82 is close to 12
Answer:
12 books
Step-by-step explanation:
Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".
Step 1: Divide 1000 by 82
[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]
Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.
Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number
[tex]12.1951219512 \\= 12[/tex]
Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.
Given that ABCD is an inscribed quadrilateral and m(∠DAB)=78°. What is m (DAB)
Answer:
Step-by-step explanation:
I'm going to go out on a limb here and guess that you are looking for the answer to the measure of arc DAB, since we already know that angle DAB is 78. Angle DAB is an inscribed angle. That inscribed angle intercepts arc DCB, and the theorem for that is that an inscribed angle is half the measure of the arc it intercepts. That means that arc DCB measures twice 78, so arc DCB measures 156 degrees. Since the measure around the outside of any circle is 360 degrees, arc DAB is 360 - 156 which is 204 degrees. If this is not what you are looking for, sorry and be more specific next time.
A garden table and a bench cost $672 combined. The garden table costs $78 less than the bench. What is the cost of the bench?
Answer:
b = $375
Step-by-step explanation:
b = cost of the bench
t = cost of the table
t = b - 78
b + b - 78 = 672
2b = 750
b = $375
What is the length of BD?
Answer:
From -6 to positive 1 the length is 7
Step-by-step explanation:
you still add'em.
Answer:
length of BD is 18
just count on the number line and ×2 because it is counting on by 2
Determine the length of CD.
Question 13 options:
A)
10.77 units
B)
3.74 units
C)
6.32 units
D)
9.17 units
Answer:
The answer is 6.32
Step-by-step explanation:
According to the Altitude Geometric Mean Theorem, the length of the altitude of a triangle is the geometric mean of the lengths of the 2 segments is divides the hypotenuse into.
CD= Altitude
CD^2= 4 times 10
or
CD= The square root of 4 times 10
Square root of 4 times 10 is 6.3245553203
Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of CD is 6.32 units. The correct option is C.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
In ΔBDC and ΔABC, the two angles are given,
∠D = ∠C = 90°
∠B = ∠B {Common}
Therefore, the two triangles are similar triangles, thus, the ratio of the sides can be written as,
CB / AB = CD / AC = DB / CB
Now, the ratio can be solved as,
CB / AB = DB / CB
CB / 14 = 10 / CB
CB² = 14 × 10
CB = √140
Further, in triangle ABC using the Pythagorean theorem, we can write,
AB² = CB² + AC²
14² = (√140)² + AC²
196 - 140 = AC²
AC = √56
Again, using the ratio of the similar triangle, we can write,
CD / AC = DB / CB
CD / √56 = 10 / √140
CD = (√56 × 10)/√140
CD = 6.32 units
Hence, the length of CD is 6.32 units.
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Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.
x squared + 12 x + 11 = 0
a.
x = -11 or x = -1
c.
x = 10 or x = -3
b.
x = 1 or x = 6
d.
x =0 or x = -6
Please select the best answer from the choices provided
A
B
C
D
Answer:
answer a
a.
x = -11 or x = -1
What is the answer to this equation 4y+3y+2y=
4y + 3y + 2y = 9y
9y is the answer
Plz mark me brainliest
answer is 100% correct
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
helppppppppppppppppppppppppppppppppppppppppp
Answer:
character
Step-by-step explanation:
I think Character because character is basically position and who you're playing as
Which expressions are equivalent to -3(t - 7 + 5t + 8)?
Answer: It's B, C, F Hope it helps!
Step-by-step explanation: -3(t-7+5t+8) collect like terms -3(6t+1)
which would give you -18t-3
It C to because 1. expand by distributing terms -(18t+9)+6
2. Remove parentheses -18t-9+6
3. Collect like terms -18t+(-9+6) simplify and it would give you -18t+3 it also F because I collect like terms (-3t-15t)+(21-24) and you simplify and that would give you -18t-3 as well can you make me brainliest bye!
26 divided by a number r
Answer:
26 ÷ r
Step-by-step explanation:
Is your expression.
Using the keywords divide you can identify the expression, its showing you divide 26 by r, r in this case is your unknown value(variable). This expression is showing what you divide. You can also consider this as 26/r
Answer:
26/r
Step-by-step explanation:
So when they say a number they are meaning r.
Now lets break this into two simpler pieces.
When they say dividing by r they mean over r, or:
[tex]\frac{}{r}[/tex]
They say 26 is what is being divided by, which means 26 over, or:
[tex]\frac{26}{}[/tex]
Now we just need to combine these two pieces together:
[tex]\frac{26}{r}[/tex]
So this is your answer!
Hope this helps!
Khloe is thinking of a number that is 2 times the value of Carl's number. Khloe's number is also 2 more than 4 times the value of Carl's number. What is Khloe's number?
0 = 2c +2.
Subtracting 2 from both sides, we get
0-2 = 2c +2 -2
-2 = 2c
Dividing both sides by 2, we get
-2/2 = 2c/2
-1 =c.
Plugging c=-1 in first equation,
k=2(-1) = -2.
So the answer is -2.
Tyrone is building a skateboard ramp with a piece of plywood that is 33 feet long.He wants the height of the ramp to be 22 feet.To make a strong ramp, the base must form a right angle with the back of the ramp.What will be the length of the base rounded to the nearest tenth of a foot?
please hurry and and please show your work!!
Answer:
24.6 ft
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
a^2 + (22 ft)^2 = (33 ft)^2
a^2 + 484 ft^2 = 1089 ft^2
a^2 = 605 ft^2
a = 24.6 ft
Answer: 24.6 ft
What is the additive inverse of 36?
Answer:
The additive inverse of 36 is −36.
Step-by-step explanation:
Answer:
-36.
Step-by-step explanation:
Additive inverses are basically the opposite of the number, for example, since 36 in this case was positive you need to make it negative.
Joseph had 3 gallons of lemonade. He wanted to give each of his 1/8
friends of a gallon. How many friends would receive lemonade?
The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What lateral area of the cone would produce a volume of 100m^3.
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
What is the lateral area of the cone?The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.
As we know that the volume of the cone is given by the formula,
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]
Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,
[tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]
Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,
[tex]V = 2\pi r^3[/tex]
Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,
[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]
We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as
[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]
Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,
[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]
Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
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If 3/4 of an inch on a map is equal to 45 miles , what does 1 inch represent?
Answer:
60 miles
Step-by-step explanation:
if 45 = 3/4
divide 45 by 3 = 15
15 * 4 = 60
.....................
Answer:
Final volume, V2 = 8.57 liters
Step-by-step explanation:
Given the following data;
Initial volume, V1 = 7.7 liters
Initial pressure, P1 = 6.9 atm
Final pressure, P2 = 6.2 atm
To find the new volume V2, we would use Boyles' law.
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 6.9 * 7.7 = 6.2*V_{2} [/tex]
[tex] 53.13 = 6.2V_{2} [/tex]
[tex] V_{2} = \frac {53.13}{6.2}[/tex]
[tex] V_{2} = 8.57 [/tex]
Final volume, V2 = 8.57 liters
Therefore, the new volume is 8.57 liters.
Answer:
just greeting so that the other one can get a brainliest (would be kind if the favor would be returned :D )
Help pls this is 5th grade math
Answer:
2 is scalene
3 is right
4 is right
5 is equalatirel
6 is scalene
7 is isocoles
8 is equalatirel
9 is right
Step-by-step explanation:
Answer:
2: scalene
3: right
4: right
5: equilateral
6: scalene
7: isosceles
8: equilateral
9: right
Step-by-step explanation:
2: A scalene triangle has no congruent sides
3: A right triangle has a 90 degree angle
4: A right triangle has a 90 degree angle
5: An equilateral triangle has 3 congruent sides
6: A scalene triangle has no congruent sides
7: An isosceles triangle has 2 congruent sides
8: An equilateral triangle has 3 congruent sides
9: A right triangle has a 90 degree angle
A rain jacket that usually costs r dollars is available at a discount. Drag and drop two
expressions to show the correct price of the rain jacket in the spaces provided.
10.2r
0.3r
0.4r
0.5r
(0.6r
0.8r
The price of the rain jacket after a 20% discount:
The price of the rain jacket after a 40% discount:
The price of the rain jacket after a 20% discount will be 0.2r and the price of the rain jacket after a 40% discount will be 0.4r.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
A rain jacket that usually costs r dollars is available at a discount.
Drag and drop two expressions to show the correct price of the rain jacket in the spaces provided.
The price of the rain jacket after a 20% discount will be
→ 0.2r
The price of the rain jacket after a 40% discount will be
→ 0.4r
More about the percentage link is given below.
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helpp!! last question :( A. (4, 1) B. (4, -1) C. (-4, -4) D. (-4, 1)
Answer:
A
Choice A point is just above (4,-1) by an increase of y by 2
Write the length of the radius if the diameter is 6 centimeters
Answer:
3 centimeters
Step-by-step explanation:
The diameter is 2 times the radius, meaning 6/2 is 3.
Answer:
3cm (This is because diameter is double the radius)
Identify the percent of change as an increase or decrease. $24 to $18
Answer:
Step-by-step explanation:
$24-$18
-6$
it is decrease
so,
decrease %=$6/$24*100
=600/24
=25%
Answer:
its a decrease of 25%
Step-by-step explanation:
1/4 of 24 is 6 and if you subtract 6 from 24 its 18 and 1/4 is 0.25 so its 25%.
Numerical expressions for add 12 to 8 then multiply by 5
Answer:
5(8+12)
Step-by-step explanation:
HELP ME PLEASE I DONT KNOW WHAT THIS IS!!!!!
Answer:
A
Step-by-step explanation:
MArk me brainliest! pls :)
If Sofia randomly picks a number from 1 to 25, what is the probability that the number will have “1” as one of the digits?
Borrows 15,200 for 10 months at an annual rate of 4.55%. What is the interest owed after 10 months
the answer in the photo check it
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) a 2 square feet b 4 square feet c 6 square feet d 8 square feet
Answer:
B. 4 square feet
Step-by-step explanation:
The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.
Answer: 4
Base 4
hight 2
4x2=8 ÷ 2 or 1/2 Equals 4
Formula L x W ÷ 2 or 1/2
Which answer choice below best describes the number (22 + 6)
Answer:
You FAILED to include any choices.
Step-by-step explanation:
A is 150m 2 miles long Directional signs are posted along the trail every 1/3 mile. How many signs are posted along the trail?
a) Work out (8 x 10*) * (2 x 10-)
Give your answer in standard form.
b) Work out (6 x 10?) + (3 x 10°)
Give your answer in standard form.
Answer:
A. 16 × 10¯⁷
B. 2 × 10⁷
Step-by-step explanation:
A. 8×10¯³ × 2×10¯⁴
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
Thus,
(8×10¯³) × (2×10¯⁴) = (8×2) × 10¯³ ⁺ ¯⁴
= 16 × 10¯³¯⁴
= 16 × 10¯⁷
Therefore,
(8×10¯³) × (2×10¯⁴) = 16 × 10¯⁷
B. (6×10²) ÷ (3×10¯⁵)
Recall:
Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ
Thus,
(6×10²) ÷ (3×10¯⁵) = (6/3) × 10² ¯ ¯⁵
= 2 × 10²⁺⁵
= 2 × 10⁷
Therefore,
(6×10²) ÷ (3×10¯⁵) = 2 × 10⁷