Answer:
14 mStep-by-step explanation:
Given,
Area of the triangle
[tex] = {105m}^{2} [/tex]
Base of the triangle
= 15m
Let,
Height of the the triangle be h
Therefore,
By the problem,
[tex] = > \frac{1}{2} \times base \times height = 105[/tex]
(On putting values)[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]
(On putting the known values on one side)[tex] = > h = \frac{105 \times 2}{15} [/tex]
(On Simplification)=> h = 7 × 2
(On multiplying)=> h = 14m
Hence,
The req. height of the triangle is 14 m (Ans)
Answer:
The answer is 14 m.
Step-by-step explanation:
Area = [tex]105^{2}[/tex]
Base = 15 m.
Height = ?
The formula for finding the area of triangle is
[tex]A = \frac{h_{b}b}{2}[/tex]
Put the values in the formula
[tex]105 = \frac{h_{b}15 }{2}[/tex]
Use MPE or Multiplication Property of Equality
210 = 15[tex]h_{b}[/tex]
Now use DPE or Division Property of Equality
[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]
14 = [tex]h_{b}[/tex]
The height of the triangle is 14 m.
To check, multiply the height and base to get the area.
14 * 15 = 105 [tex]m^{2}[/tex]
Owen invested $81,000 in an account paying an interest rate of 3\tfrac{7}{8}3 8 7 % compounded continuously. Zoe invested $81,000 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded monthly. After 9 years, how much more money would Owen have in his account than Zoe, to the nearest dollar?
Answer: $6322
114800.8806 - 108478.6929
= 6322.1877
Rounded to the nearest dollar = $6322
Answer:6761
Step-by-step explanation:
-3 and -5 what is less, greater than , and or equal
Answer:
-3 is less and -5 is greater
Step-by-step explanation:
Answer:
less than
Step-by-step explanation:
because -5 would be less than -3 because it is bigger
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
Hello I need plzzzz help
Answer:
The number of hours Jenny babysits
Step-by-step explanation:
Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.
Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x
5(3)+10. This means Jenny will charge the person she babysat for a total of
$15 just for the hours alone.
Hope this helps! :)
Answer:
x represent the number of hours Jenny Babysits
Step-by-step explanation:
since she charges $5 per hour, then X is always how many hours
If the sum of two consecutive
even integers is - 18, find the
integers.
-10 and -8????
I believe because -10 + -8 = -18 and they are both consecutive
Which describes the slope of the line that passes through the points (2, 5) and (– 4, 5)?
Answer:
m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5
m = 5-2/-4-5 = -1/3
Step-by-step explanation:
any of these please i don't get this
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
__
33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
__
34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
__
35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
__
36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²xQuestion 1 (2 points)
Find the missing side.
А b с
14
23
B
O
37
Answer:
USED YOUR BRAIN NOT BRAINLY...
Step-by-step explanation:
TY
Graph the line with the equation y = 6/5x-2
Answer:
Step-by-step explanation:
The graph of equation is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = 6/5x - 2
Now,
Since, The equation of line is,
⇒ y = 6/5x - 2
Clearly, The slope = 6/5
And, The y - intercept = - 2
Thus, The graph of equation is shown in figure.
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Select the quadrilateral for which the diagonal is a line of symmetry.
A. parallelogram
B. square
C. trapezoid
D. isosceles trapezoid
Answer:
b
Step-by-step explanation:
cut it in half, boom equal
Answer:
b
Step-by-step explanation:
the diameter of a circle is 8 centimeters
HIGH POINTS/WILL MARK BRAINLIEST
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x^7– 8x^6– 3x^5– 3
Answer:
The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.
Х
у
-2
3
2
-9
6
-21
10
-33
Answer:
y = - 3x - 3Step-by-step explanation:
Given table:
x | -2, 2, 6, 10 y | 3, -9, -21, -33Use two pairs of points to work out the equation of the line y = mx + b:
(-2, 3) and (2, - 9)Find the slope:
m = (-9 - 3)/(2 - (-2)) = - 12/4 = - 3Use one pair to find the y-intercept:
3 = - 3*(-2) + b3 = 6 + bb = 3 - 6b = - 3The line is:
y = - 3x - 3m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)
3 = (-3)•(-2) + b
3 = 3•2 + b
3 = 6 + b
b = -3 ==> (a)
Soo :
y = -3x - 3
1. A linear function can be represented by the equation y = 7x - 4. Identify the slope and y-intercept.
y-intercept:
Slope:
Hello!
Remember y=mx+b.
m is the slope and b is the y intercept.
So
the slope is 7 and the y intercept is 4.
Hope this helps!
~Just a felicitous teen
#CarryOnLearning
[tex]SIlentNature[/tex]
Answer:
slope: 7
y-intercept:4
Step-by-step explanation:
In printing an article of 48,000 words, a printer decides to use two sizes of type. Using the larger type, a printed page contains 1,800 words. Using smaller type, a page contains 2,400 words. The article is allotted 21 full pages in a magazine. How many pages must be in smaller type
Answer:
17 pages
Step-by-step explanation:
Let L = number of pages printed Larger type
S = number of pages printed smaller type
the article is allow 21 full pages in a magazine. -->L + S = 21
1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)
18L + 24S = 480
Solve:
L + S = 21
18L + 24S = 480
we can use elimination by eliminating 18L so we can isolate the value of S
-18 (L + S = 21)
18L + 24S = 480
-18L - 18S = 378
18L + 24S = 480
6S = 102
S = 17
what is the common denominator of 6/7 and 3/8(please help i'm failing math)
Answer:
56
Step-by-step explanation:
There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?
Answer:
11 Julie's and 5 East Indians
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
Please help me! my teacher didn't teach me this!!
Answer:
skew
skew
parallel
parallel
Step-by-step explanation:
First see the below figure to understand parallel and skew lines
As you can see parallel lines lie on the same plane
skew lines lie on different plane and do not intersect
1)AB and GF
AB lies on ABCD plane
GF lies on EFGH plane
and they will never meet / intersect
so skew
2)DH and BF
DH lies on ADHE plane
BF lies on BCGF plane
they seem parallel but they are on different plane, so skew
3)EF and HG
EF and HG both lie on the same plane EFGH
and they both are parallel
4)for this see the second picture
both these planes are parallel
Hope this helps!
Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from where y is not a vowel
The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.
There are 10 vowels (5 of lowercase and 5 of upper case).
Thus, 10 ways of choosing the first letter.
Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).
Similarly, third and fourth letter can be any of the 52 letters.
Thus, using the product rule, the number of ways of making the four letter password is:
[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]
(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).
We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.
Thus, the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
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A shop sells orange juice in the following ways:
500 ml bottle for £1.25
1.5 litre carton for £2.35 each or 2 cartons for £3.50
2 litre carton for £3.25
What's the cheapest way of buying exactly 8 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 8 litres
Answer:
1.
1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.
2.
a. 1.25 / 0.5 = $2.50 per L
2.35 / 1.5 = $1.57 per L
3.25 / 2 = $1.63 per L
b. 2.50 x 8 = $20.00 per 8 L
1.57 x 8 = $12.56 per 8 L
1.63 x 8 = $13.04 per 8 L
Step-by-step explanation:
find unit rate (cost / quantity)
i started some of it but i’m really confused with the rest. does anyone know how to do this?
Answer:
see below
Step-by-step explanation:
You're doing well! The parts of the table you've done are correct.
For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].
x =1 : 6 - 2(1) = 4 (1, 4)
x = 2: 6 - 2(2) = 2 (2, 2)
x = 3: 6 - 2(3) = 0 (3, 0)
x = 4: 6 - 2(4) = -2 (4, -2)
Each of the parts of the function rule graph as pieces of straight lines. The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4). Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.
Answer:
Step-by-step explanation:
You counted 28 big dogs and 20 small dogs running around at the park.
What was the small dogs to big dogs ratio ?
Answer:
5:7
Step-by-step explanation:
3⁸ × 3⁹ in index form simplified
Answer:
6561 x 19683
Step-by-step explanation:
.............
If tan^2 = 1-a^2, then the value of sec+tan^3 cosec is
Pls explain fast
Answer:
for example okk then you will try
Answer: (1) (2 – e2)3/2
Solution:
Given,
tan2θ = 1 – e2
sec θ + tan3θ cosec θ
= sec θ + (sin3θ/cos3θ) (1/sin θ)
= sec θ + tan2θ sec θ
= sec θ(1 + tan2θ)
= √(1 + tan2θ) (1 + tan2θ)
= (1 + tan2θ)3/2
= (1 + 1 – e2)3/2
= (2 – e2)3/2
hey i need all three boxes solved please
giving 12 points
Answer:
it says 6 points not 12 points
Step-by-step explanation:
What is the value of the rational expression when x = –3?
-1/12
0
1/6
undefined
Option D is correct, the value of the rational expression when x = –3 is undefined.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is x/x²-9
x divided by x square minus nine.
Now let us find the value of the expression when x is minus three,
Plug in x as -3 in the above expression.
-3/(-3)²-9
-3/9-9
-3/0
Anything divided by zero then the value is undefined.
Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.
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What is the value of the rational expression x/x2-9 when x = –3?
A. -1/12
B. 0
C. 1/6
D. Undefined
Use the model why 522 is divisible by 9
Answer:
The rule for divisibility by 9 works because numbers are written in base 10.
Step-by-step explanation:
6 * 2 /( -1)4* 5-(8+3)
Answer:
-251
Step-by-step explanation:
Following BEDMAS/PEMDAS
6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis
= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right
= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11
= -251