Answer:
We get the sum of numbers rounded off to nearest 100 = 300
Step-by-step explanation:
Integers from 1 to 10 inclusive.
Squaring them:
[tex]1^{2} = 1\\2^{2} = 4\\3^{2} = 9\\4^{2} = 16\\5^{2} = 25\\6^{2} = 36\\7^{2} = 49\\8^{2} = 64\\9^{2} = 81\\10^{2} = 100[/tex]
Rounding each of them to the nearest 100:
All the number less than 50 are rounded off to previous 100, which is 0.
All the other numbers i.e. 64, 81 are rounded off to 100.
100 is already rounded off, we do not need to round it off.
[tex]1 \rightarrow 0 \\4\rightarrow 0\\9\rightarrow 0\\16\rightarrow 0\\ 25\rightarrow 0\\36\rightarrow 0\\49\rightarrow 0\\64\rightarrow 100\\81\rightarrow 100\\[/tex]
Now, taking the sum of the rounded off numbers:
[tex]0+0+0+0+0+0+0+100+100+100 = 300[/tex]
We get the sum of numbers rounded off to nearest 100 = 300
Calculating actual sum of squares from 1 to 10:
Using the formula:
[tex]S_n = \dfrac{n(n+1)(2n+1)}{6}[/tex]
Here n = 10
[tex]1^2+2^2+3^2+..... + 10^2 = \dfrac{10 \times 11 \times 21}{6} \\\Rightarrow \bold {385}[/tex]
And sum of rounded off numbers = 300
help me plz i will give brainlest
Answer:
32
Step-by-step explanation:
Pythagorean Theorem is a^2+b^2=c^2 and 40 is c^2 so we would do 40^2-24^2=b^2 so 1600-576 is 1024 and the square root of 1024 is 32 so b would be 32
Answer:
34
Step-by-step explanation:
Given:
a=24
c=40
Required:
b=?
Formula:
[tex]a {}^{2} + b {}^{2} = c {}^{2} [/tex]
Solution:
[tex]a {}^{2} + b {}^{2} = c {}^{2} = (24) {}^{2} + b {}^{2} = (40) {}^{2} = 576 + b {}^{2} = 1600 = b {}^{2} = 1600 - 576 = 1024 = b {}^{2} = 1024 = \sqrt{ {b}^{2} } = \sqrt{1024} = 34 [/tex]
Hope this helps ;) ❤❤❤
Find the value of x
A. 5.5
B. 6.6
C. 1.1
D. 8.8
Answer:
b
Step-by-step explanation:
Question 7(Multiple Choice Worth 1 points)
(06.02 MC)
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of n?
40nt in
43n in
O
100nt in
108n in
Hey there! I'm happy to help!
I assume that n is supposed to be π. To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we find the area of the base, which is a circle. To find the area of a circle, you square the radius and multiply by π.
5²=25
And we multiply by π.
25π
Now we multiply by the height.
25π×13=325π
We divide by three.
325π/3≈108π
Therefore, the answer is 108π in.
Have a wonderful day! :D
Brian multiplied his average speed of 14.73 miles per hour by the amount of time he spent cross-country skiing. His product was 11.0475. A 2-column table with 4 rows titled Brian's Activity time (hours). Column 1 has entries hiking, mountain biking, horseback riding, cross-country skiing. Column 2 has entries 3, 1.45, 1.2, 0.75. Rounding to the nearest whole number, determine whether Brian’s product is reasonable. Round Brian’s average speed to . Round the activity time to . Was Brian’s product reasonable?
Answer:
15
1
yes
Step-by-step explanation:
took the thingy on edge 2020
Answer:
agree with the other person
Step-by-step explanation:
if a mobile was sold for Rs.24408 after allowing 10% discount on the marked price and adding 13% VAT.Findthe discount amount.
Answer:
Hi, there!!!!
See explanation in pictures.
I hope it helps you...
How to do this question plz answer me step by step plzz plz
Answer:
x=10 cm
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
x^2 + ( sqrt(200) )^2 = (sqrt(300))^2
x^2 +200 = 300
Subtract 200 from each side
x^2 +200-200 = 300-200
x^2 = 100
Take the square root of each side
sqrt(x^2) = sqrt(100)
x = 10
Find a positive real number such that its square is equal to 14 times the number, increased by 240.
Answer:
Step-by-step explanation:
Let's call the "positive real number" X.
Basically, the question is a riddle asking for the "solution" to 14x+240=x²
Figure that out, and
The answer is 24.
The correct answer is 24.
Please help me.. please..
Answer:
i believe it's b
Step-by-step explanation:
i haven't seen a question like this is a while so i'm sorry if it's wrong
Answer:
B.
Step-by-step explanation:
x < 3 will be graphed as an empty circle at positive 3, with the line extending infinitely to the left of the circle.
x ≥ 5 will be graphed as a solid circle at positive 5, with the line extending infinitely to the right of the circle.
The two statements are best represented by graph B.
Hope this helps!
The area of a rectangle can be expressed by 2x2 – 7x – 4. If the rectangle has an
area of 45, find the positive value for x.
Answer:
7
Step-by-step explanation:
2x^2 - 7x - 4 = 45
2x^2 - 7x - 49 = 0 : subtract 45 from both sides
Quadratic formula:
x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4
x = (7 ± sqrt(49 - -392)) / 4
x = (7 ± sqrt(441)) / 4
x = (7 ± 21) / 4
x = (7 + 21) / 4 OR x = (7 - 21) / 4
x = 28 / 4 OR x = -14 / 4
x = 7 as it is the only positive answer
Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x= y=
Answer:
x = 10 units, y = 5 units
Step-by-step explanation:
Given triangle ABC is a 30-60-90 triangle,
m∠C = 60°
By applying Sine rule in the given triangle,
Sin(60)°= [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(60)° [tex]=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{\text{AB}}{\text{AC}}[/tex]
[tex]\frac{\sqrt{3}}{2}=\frac{5\sqrt{3}}{x}[/tex]
x = 10 units
Similarly, by applying Cosine rule in the given triangle,
Cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos(60)° = [tex]=\frac{\text{BC}}{\text{AC}}[/tex]
[tex]\frac{1}{2}=\frac{y}{x}[/tex]
y = [tex]\frac{x}{2}[/tex]
y = 5 units
Therefore, x = 10 units and y = 5 units will be the answer.
If ONE PAIR of opposite sides of a quadrilateral are BOTH parallel and congruent, the quadrilateral is a parallelogram. a TRUE b FALSE
Answer:
a. TRUE.
Step-by-step explanation:
If the pair of opposite sides are both parallel and congruent, the other two sides will have to fit in between the two lines. That will make the other two sides both parallel and congruent, so the quadrilateral is a parallelogram.
Answer:
a. True
Step-by-step explanation:
A parallelogram is a quadrilateral. A parallelogram has two pairs of opposite parallel sides. The opposite parallel sides are equal in length and are congruent.
what is a width of a rectangle prisim if the volume is 50046 cm 3 the hight is 7 cm and the llength is 13 cm
Answer:
2383.14286
Step-by-step explanation:
The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!
hey loves, can any of you lovely people help me with this question?
Answer:
(c) the supplements of congruent angles are congruent.
Step-by-step explanation:
Since JKL and JLK are respectively the supplements of angles 3 and 4, we can use the justification
(c) the supplements of congruent angles are congruent.
Answer:
The answer will be C
Step-by-step explanation:
It will not be HL theorem nor SAS postulate so that gives you with C and D. Now D is incorrect because those angles arent complementary
find three examples of corporate logos. do they incorporate symmetry? if so, and what kind? your response should be 3-5 sentences long
Answer:
Symmetry is the property of an object to retain its shape even if it is turned or turned.
The three corporate logos are McDonald, Shell, Snapcaht
McDonald company logo is symmetrical and it is a reflective symmetry.
Shell logo is symmetrical and it is also reflective symmetry.
Snaphcat logo is symmetrical and it is also reflective symmetry.
Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3
Answer:
5/2, 4/5 are terminating decimals
Step-by-step explanation:
5/2 = 2.5 this is a terminating decimal
4/5 = .8 this is a terminating decimal
2/7 = .285714(repeating) This is a repeating decimal
4/3 = 1.3(repeating) this is a repeating decimal
Answer:
Hey There!!
4/5 and 5/2 are your answers!
Step-by-step explanation
(sec A + tan A) (1 - sin A) = cos A prove
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
(sec(A) + tan(A)) (1 - sin(A)) = cos(A)
Write secant as 1/cosine and tangent as sine/cosine:
(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)
Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):
(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)
Multiply both sides by cos(A):
(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2
(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:
1 - sin(A)^2 = ^?cos(A)^2
cos(A)^2 = 1 - sin(A)^2:
1 - sin(A)^2 = ^?1 - sin(A)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
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Let's do this step by step.
Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1
Solving L.H.S
sec A ( 1 - sin A) ( sec A + tan A)
[tex]= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})[/tex]
[tex]= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })[/tex][tex]= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}[/tex]
We know that [tex]( a - b) ( a + b) = a^2 - b^2[/tex]
[tex]= \frac{( 1^2 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{( 1 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{cos^2 A}{cos^2 A}[/tex] [tex]| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |[/tex][tex]1 - sin^2 A = cos^2 A[/tex]
[tex]= 1[/tex]
[tex]= R . H. S[/tex]
Thus, L.H.S = R.H.S
Hence proved.
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Activity: A flagpole has cracked 1.7 m from the ground and fallen over, as if hinged. The top of the flagpole hit the ground 3 m from the base. How tall was the flagpole before it fell?
Answer:
Height of flagpole before it fell = 5.15 m
Step-by-step explanation:
Given:
Height of remain pole (p) = 1.7 m
Distance from base (b) = 3 m
Find:
Height of flagpole before it fell
Computation:
Using Pythagorean theorem
H = √ p² + b
Length of broken part = √ 1.7² + 3²
Length of broken part = √ 2.89 + 9
Length of broken part = √ 11.89
Length of broken part = 3.45 (Approx)
Height of flagpole before it fell = Length of broken part + Height of remain pole
Height of flagpole before it fell = 3.45 + 1.7
Height of flagpole before it fell = 5.15 m
Maximize the objective function P = 2x + 1.5y for the feasible region shown. State the maximum value for P and the ordered pair at which the maximum value occurs.
Incomplete question. However, let's assume this are feasible regions to consider:
Points:
- (0, 100)
- (0, 125)
- (0, 325)
- (1, 200)
Answer:
Maximum value occurs at 325 at the point (0, 325)
Step-by-step explanation:
Remember, we substitute the points value for x, y in the objective function P = 2x + 1.5y.
- For point (0, 100): P= 2(0) + 1.5 (100) =150
- For point (0, 125): P= 2(0) + 1.5 (125) =187.5
For point (0, 325): P= 2(0) + 1.5 (325) = 487.5
For point (1, 200): P= 2(1) + 1.5 (200) = 302
Therefore, we could notice from the above solutions that at point (0,325) we attain the maximum value of P.
Find the missing side. Round to the nearest tenth. Will give Brainliest.
Answer:
Answers are below.
Step-by-step explanation:
Sin θ = Opposite / Hypotenuse
Cos θ = Adjacent / Hypotenuse
Tan θ = Opposite / Adjacent
1) sin (60) = 16/x
x = 16/(sin 60)
x ≈ 18.46
2) cos (45) = x/13
13 cos(45) = x
x ≈ 9.19
3) tan (53) = 10/x
x = 10/tan(53)
x ≈ 7.54
4) tan (21) = x/12
12 tan(21) = x
x ≈ 4.61
Dan believes he can use the information given in the diagram and the SAS rule to prove the two triangles are congruent. Is he correct? Explain.
Answer:
Yes. There are two pairs of congruent sides and a pair of congruent angles. This follows the SAS rule.
How do u do this please help WILL GIVE BRAINLIEST
Answer: x = 9[tex]\sqrt{2\\}[/tex], y =18
Step-by-step explanation:
cuz
Help please!!!!!thxxxx
Answer:
144
Step-by-step explanation:
An angle of a regular pentagon is of 180(5-2)/5=108°
and that all the sides are equal so angle MNL=108/3=36
then MNK=180-MNL=180-36=144
I don't know if you understand this but it's hard to work without more points :)
The sum of two even consecutive integers is −46. If the smaller integer is divided by 4 and the larger integer is increased by 11, what is the product of the two resulting integers? PLEASE HELP!!!
Answer is 66.
I hope it will help you:)
Answer:
= 66
Step-by-step explanation:
The two integers are -22 and -24, because they are both even and consecutive, and adding them equals -46.
-24 divided by 4 is -6, and -22 plus 11 is -11
Now all we have to do is find the product (multiply -11 and -6)
And this gives us the answer: 66
Help please!!!!””””””””””
Answer:
Step-by-step explanation:
1. Given
2. Given
3. Reflective Property
4. SAA
There is a strong positive linear correlation between rainfall and the number of apples a tree produces.
Answer: C. Yes, this means more rainfall causes apple trees to produce more fruit.
Step-by-step explanation:
A positive correlation exists when one variable increases as the other variable increases.
Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the a production of apple fruit.Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.
Yes, this means more rainfall causes apple trees to produce more fruit.
We have given that,
There is a strong positive linear correlation between rainfall and the number of apples a tree produces.
When does the positive correlation exist?A positive correlation exists when one variable increases as the other variable increases.
Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces definitely means that increase in rainfall will increase the production of apple fruit. Therefore, a strong positive linear correlation between rainfall and the number of apples a tree produces means that more rainfall causes apple trees to produce more fruit.
Option C is correct.
Yes, this means more rainfall causes apple trees to produce more fruit.
To learn more about the correlation visit:
https://brainly.com/question/4219149
#SPJ2
¿por qué no está definida la raíz de índice par de un número negativo?
Answer:
Porque se convierte en positivo cada vez que haces la raíz cuadrada.
Plz plz please answer it fast urgent
Answer - 1) -6/3
2)3/20
3)3/4
Hope this may helps you
Answer:
A.-2
B.its 3/20=0.15
C.3/4=0.75
5x + 9 = 5 + 3x : solve
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Hi my lil bunny!
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[tex]5x - 9 = 5 - 3x[/tex]
[tex]5x - 3x = 5 - 9[/tex]
[tex]2x = -4[/tex]
[tex]X = \frac{-4}{2} = -2[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
4.05 LC)
The graph shows y as a function of x:
y
Q
P
R
S
In which segment is the function decreasing?
A) P
B) Q
C) R
D) S
Answer:
r
Step-by-step explanation:
we know this because it is the only part of the graph that is moving downwards, meaning its decreasing. P is an example of increasing, Q is 'neutral' and s is also increasing.
PLEASE HELP 30 POINTS!! What is the solution to the system of equations below? y = negative one-third x + 9 and y = two-thirds x minus 12 (21, 2) (21, –10) (–21, 16) (–21, –26)
Answer:
(21, 2)
Step-by-step explanation:
set equations equal to each other because they both equal y.
-1/3x + 9 = 2/3 x - 12
combine like terms by adding 1/3x and 12 to both sides.
21 = x
plug x in.
y = -1/3(21) + 9
y = -7 + 9
y = 2
check with other equation.
y = 2/3(21) - 12
y = 14 - 12
y = 2
solution: (21, 2)
hope this helps :)
Answer:
(21,2)
Step-by-step explanation:
took the quiz on edge