Answer:
1776 feet tall
Step-by-step explanation:
Basically, all you do is find out what is being multiplied to make the statue of liberty side of the ratio that number. In this example the whole equation needs to make to be multiplied by 16 to make both sides equal. So, when you multiply 111 by 16 it equals 1776. You need to multiply both sides of the ratio so that the ratio stays equal on both sides. Just like a fraction.
Find the 7th term in the
sequence
-1, 2, -4, 8,...
Answer:
every other term is negative, so it would be -64
Step-by-step explanation:
hope it helps!
Urgent please help..
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTA local council is concerned that there are too many students for staff to look after in schools. There are 18 staff and 225 students in school A. a Write the staff : student ratio in the form 1 : n.
you have to find a number they are both divisible by to get it to simplest form. 18:225.
divide both by 3. 6:75.
you can divide it by 3 again.
answer: 2:25
The ratio of two quantities can be obtained by writing them as a fraction. The ratio in the form of 1 : n is given as 225 / 18.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
Given that,
The number of staff in the school = 18
And, the number of students in the school = 225
Since, the ratio of two numbers a and b is given as a : b = a / b.
In the form of 1 : n it can be written as, a : b = 1 / (b / a).
Similarly, the ratio of staff and students n the form of 1 : n can be written as,
Staff : Students = 18 : 225
=> Staff : Students = 1 / (18 / 225)
=> Staff : Students = 225 / 18.
Hence, the ratio Staff : Students can be written in the form 1 : n as 225 / 18.
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help me with this mathematic problem
Answer:
I dont know
Step-by-step explanation:
Krishna has $4.90 with a combined 34 nickels and quarters. How many of
each coin does she have?
Answer:
Step-by-step explanation:
-34 nickles is = 1.70
34 quarter is = 8.50
1.70 plus 8.50 plus 4.90 = 15.1 i think
How much money does Bob the Brick-layer need for his material costs?
He can lay 100 bricks in an hour. He charges $150 per hour for brick laying,
What is the total cost for Bob to do the job?
Use trigonometric identities to simplify each expression.
1/cot^2 (x) - 1/cos^2(x)
Answer:
- 1
Step-by-step explanation:
[tex]\frac{1}{\cot ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cos \left(x\right)}=\sec \left(x\right),\\\frac{1}{\cot ^2\left(x\right)}-\sec ^2\left(x\right)\\\\\mathrm{Use\:the\:basic\:trigonometric\:identity}:\quad \frac{1}{\cot \left(x\right)}=\tan \left(x\right),\\\tan ^2\left(x\right)-\sec ^2\left(x\right)\\\\=> \frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}-\frac{1}{\cos ^2\left(x\right)}\\[/tex]
[tex]=> \frac{\sin ^2\left(x\right)-1}{\cos ^2\left(x\right)}\\\\=> -\frac{\cos ^2\left(x\right)}{\cos ^2\left(x\right)}\\=> - 1[/tex]
Hope that helps!
By using trigonometric identities, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
What are trigonometric identities?"Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain."
Given expression
[tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
We know the trigonometric identity
[tex]{cot^{2}(x) } =( \frac{sinx}{cosx})^{2}[/tex]
= [tex]\frac{1}{(\frac{cosx}{sinx} )^{2} } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2} (x)}{cos^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex]
= [tex]\frac{sin^{2}(x)-1}{cos^{2}x }[/tex]
= [tex]\frac{-(1- sin^{2}(x))}{cos^{2}x }[/tex]
We know the trigonometric identity
[tex]sin^{2}(x) +cos^{2}(x) = 1[/tex]
= [tex]\frac{-(cos^{2}x)}{cos^{2}x }[/tex]
= -1
Hence, [tex]\frac{1}{cot^{2}(x) } -\frac{1}{cos^{2}(x) }[/tex] = -1
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A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint
The table shows different quantities of red and white paint for the same shade of pink complete the table
Answer:
See attached.
Step-by-step explanation:
The table is as shown
White paints {cups} Red paints{cups}
4 3
2 1
1 0
5 4
5 4
The white paint mixes with the red paint is the ratio of 4 is to 3 in that every 4 cups of white paints is mixed with 3 cups of red paints.
A 35 ft ladder reaches a window that is 25 feet high. What is the angle of elevation the ladder forms with the ground? A. 44.4 C. 35 B 54.5 D. 45.6
Answer:
D
Step-by-step explanation:
Sin(x)=25/35=5/7
=> x = 45.6
What is the sum of the digits in the expansion of (10^36+26/18)
Answer:
=177
Step-by-step explanation:
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (10³⁶ + 26/18)
The sum of the digits in the expansion is given as,
⇒ 1 + 0 + 2 + 6 + 1 + 8
⇒ 18
The sum of the digits in the expansion (10³⁶ + 26/18) will be 18.
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which fraction is equivalent to 2/6
Answer:
1/3, 2/6, 3/9, 4/12..are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number. For example, if we multiply the numerator and denominator of 2/3 by 4 we get.
Step-by-step explanation:
The equivalent fractions of the given fraction [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex] .
The fractions which have the same value but can have different numerators or denominators when either multiplying , dividing or converting it into the lowest form is called equivalent fractions
The upper part of a fraction or part of a whole is called numerator and the lower part of a fraction or the whole is called denominator.
Equivalent fraction can be obtained by multiplying numerator and denominator with the same number .
Example : equivalent fraction of [tex]\dfrac{5}{8}[/tex] is
[tex]\dfrac{5}{8} = \dfrac{5 \times 1 }{8 \times 1} =\dfrac{5\times2}{8\times2} ........=\dfrac{5}{8}[/tex]
According to the data provided in the problem
[tex]\dfrac{2}{6} = \dfrac{2 \times 1 }{6 \times 1} =\dfrac{2\times2}{6\times2} ........=\dfrac{2}{6}[/tex]
Thus the equivalent fractions of [tex]\dfrac{2}{6}[/tex] are [tex]\dfrac{4}{12} ,\dfrac{6}{18} ,\dfrac{8}{24}[/tex]
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There are 60 seventh-grade students in William's school. The students need to choose someone to wear the mascot costume on field day. Huey and Sal are texting about it. Huey: We can give everyone a number from 1 to 60. The we can roll 10 number cubes and add it to the results. The person whose number is equal to the sum wears the costume. Sal: That doesnt seem fair how about this? Everyone gets a number from 0 to 59. Put blocks numbered 0 to 5 in a bag. In another bag, put blocks numbered 0 to 9. Pick a block from the first bag for the tens digit and a block from the second bag for the ones digit. A. Is Huey's plan unfair as Sal claims? If so, why is it unfair? B. Is Sal's plan fair or unfair? Explain your answer. HURRY ANSWERING THIS PLS THIS THING DUE BEFORE 11:59PM
Answer:
Step-by-step explanation:
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The diagram shows a prism.
The cross section of the prism is a right-angled triangle.
The lengths of the sides of the triangle are 8 cm, 15 cm and 17 cm.
The length of the prism is 20 cm.
Work out the total surface area of the prism.
Diagram NOT
accurately drawn
8 cm
17 cm
20 cm
15 cm
Answer:
Total surface area of the prism = 920 cm²
Step-by-step explanation:
Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.
Area of one triangular side = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Area of 2 similar sides = Base × Height
= 8 × 15
= 120 cm²
Area of rectangular side with dimensions 17cm × 20cm
Area of the side = 17 × 20 = 340 cm²
Area of the second rectangular side with dimensions 8cm × 20cm
Area of the side = 8 × 20 = 160 cm²
Area of third rectangular side with dimensions 20cm × 15cm
Area of the side = 20 × 15 = 300 cm²
Total surface area of the given triangular prism = 120 + 340 + 160 + 300
= 920 cm²
Is my answer right? if not can you please tell me which won is right..
write the equation of the line passing through the points (-4 -1) and (2 8)
Answer:
y=3/2x+5
Step-by-step explanation:
what is the rate of change of the line through (2, -7) and (3, 12)
Answer:
Hi! Your answer is m = 19
Step-by-step explanation:
~use the slope formula to find the average rate of change~
The eighth term of an arithmetic sequence is double the value of the third term. The fifth term is equal to 14. Determine the first term and the common difference of the sequence.
Answer: first term = 6
Common difference = 2
Step-by-step explanation:
Eight term =a +(n-1)d = a +(8-1)d = a + 7d
Third term = a+(n-1)d = a + (3-1)d =a + 2d
a + 7d = 2(a + 2d)
a + 7d = 2a + 4d
7d - 4d = 2a - a
a = 3d
The fifth term is equal to 14. This is:
a + 4d = 14
Put the value of a into the equation here
3d + 4d = 14
7d = 14
d = 14/7
d = 2
Recall that a + 4d = 14
a + 4(2) = 14
a + 8 = 14
a = 14 - 8
a = 6
Find the unit rate.
1/2 pound : 5 days
Answer:
= 0.2 pound per day
Step-by-step explanation:
This is a fraction equal to
1 pound ÷ 5 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
1 pound ÷ 5
5 days ÷ 5
=
0.2 pound
1 day
=
0.2 pound
day
= 0.2 pound per day
ax + 7 = 2x + b
Find x
Answer:
x = [tex]\frac{b-7}{a-2}[/tex]
Step-by-step explanation:
Given
ax + 7 = 2x + b ( subtract 2x from both sides )
ax - 2x + 7 = b ( subtract 7 from both sides )
ax - 2x = b - 7 ← factor out x from each term on the left side
x(a - 2) = b - 7 ← divide both sides by (a - 2)
x = [tex]\frac{b-7}{a-2}[/tex]
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
[tex]a * b=a^3+b^3-3ab[/tex]
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
[tex]b * a=b^3+a^3-3ba[/tex]
Rearranging:
[tex]b * a=a^3+b^3-3ab[/tex]
It's apparent that a*b=b*a, thus the operation is commutative
PLEASE HELP
Simplify the expression by combining like terms.
4 x + 3 − 2x + 5 − 2y
Answer:
2x+8-2y
Step-by-step explanation:
4x-2x+5+3-2y
2x+8-2y
Answer:
There you go!!
Step-by-step explanation:
4x - 2x - 2y + 3 + 5
2. Write the symbol that will make the statement true; -5__+3.
a. < b. > c. = d. /
Answer:
a
Step-by-step explanation:
On the number line, negative numbers are less than zero. positive numbers are larger than zero.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
Given:
The two points on a coordinate plane are C(-5,-1) and D(0,3).
To find:
The distance between C and D.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between C(-5,-1) and D(0,3) is
[tex]CD=\sqrt{(0-(-5))^2+(3-(-1))^2}[/tex]
[tex]CD=\sqrt{(0+5)^2+(3+1)^2}[/tex]
[tex]CD=\sqrt{(5)^2+(4)^2}[/tex]
[tex]CD=\sqrt{25+16}[/tex]
On further simplification, we get
[tex]CD=\sqrt{41}[/tex]
[tex]CD=6.40312424[/tex]
[tex]CD\approx 6.40[/tex]
Therefore, the distance between C and D is 6.40 units.
Order from greatest to least. 4. -4. 9. -7 *
Answer
9 4 -7 -4
Step-by-step explanation:
How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
In a '15% off sale, Freya bought a DVD player for £179.99. What was the original price of this
DVD player?
Answer:
211.75
Step-by-step explanation:
179.99/.85=211.75
What is the answers to this? I am not sure if the ones I already have are correct. Please help!
Triangles multiple choice!!
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABC
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
AB² + AC² = BC² , substitute values
5² + AC² = 13²
25 + AC² = 169 ( subtract 25 from both sides )
AC² = 144 ( take the square root of both sides )
AC = [tex]\sqrt{144}[/tex] = 12
Since the triangles are congruent then corresponding sides are congruent, then
DE = AC = 12 inches → B
[tex] - \frac{2}{3} + 4 \times \frac{1}{3} [/tex]
Answer:
2/3
Step-by-step explanation:
You first multiply 4x1/3 which equals 4/3. Now you do -2/3+4/3=2/3. Hope this helps!
Answer:
2/3
Step-by-step explanation:
[tex]\frac{-2}{3}+4*\frac{1}{3}=\frac{-2}{3}+\frac{4}{3}\\\\=\frac{(-2) + 4}{3}\\\\\\= \frac{2}{3}[/tex]