Answer:
a) 5m b) 53°
Step-by-step explanation:
a) √Bc²+AB²
=√4²+3²
=√16+9
=√25 =5m
b) tan θ =BC/AB
tanθ =4/3
so tan θ=53°
30x–100y=3,000 find where the x and y intercept
Answer:
Slope = -0.020/2.000 = -0.010
x-intercept = 3000/1 = 3000.00000
y-intercept = 3000/100 = 30
Step-by-step explanation:
I think
f(x) = 4x^2 - 3 find f(x + 2)
Answer:
f(x + 2) = 4x² + 16x + 13
Step-by-step explanation:
f(x) = 4x² - 3
Then
f(x + 2) = 4(x + 2)² - 3
= 4(x² + 4x + 2²) - 3
= 4(x² + 4x + 4) - 3
= 4x² + 16x + 16 - 3
= 4x² + 16x + 13
What is the height of the trapezoid?
Answer:
11 units
Step-by-step explanation:
The height of a trapezoid is the distance between the parallel bases.
__
Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...
5 -(-6) = 5 +6 = 11
You can also find this distance by counting the grid squares between the two parallel lines.
The height of the trapezoid is 11 units.
_____
Additional comment
The base lengths are ...
AB = 2 -(-5) = 7
CD = 8 -(-7) = 15
The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is;
y=a^(3)/sqrt(x-h+k)
Three possibilities
For red line
If h is negative then and k is positive then
then they will have two vertical asymptotes one on positive x and other on negative x
If h is negative and k is negative then the side part underroot with x turns negative I e x-(something) then they will form parabolas
You may look purple one
For all values of negative sum of h and k
example √x-k
The graph is parabola (Green one)
For h and k are equal the denominator yields √x and it stops at origin on downwards .(Blue one)
For all values of positive sum of h and k eg denominator as √x+k the graph will be like red one
Answer:
Standard Form of a Cube Root Function
[tex]y=a \sqrt[3]{x-h}+k[/tex]
The parent function is [tex]y=\sqrt[3]{x}[/tex]
[tex]h[/tex] indicates the horizontal shift from the parent function.
If [tex]h > 0[/tex] the shift is to the right, and if [tex]h < 0[/tex] the shift is to the left.
[tex]k[/tex] indicates the vertical shift from the parent function.
If [tex]k > 0[/tex] the shift is up, and if [tex]k < 0[/tex] the shift is down.
[tex]a[/tex] indicates a vertical stretch by scale factor [tex]a[/tex].
If [tex]a < 0[/tex] the function is reflected in the x-axis.
If the figures shown are congruent, what is the value of x? (Hint: The sum of the three angles of any triangle is 180°.)
For a tiger, there are approximately 4.2 lbs, of muscle for every 7.4 lbs. of body weight. How much of the weight is muscle on a 563 lb. tiger?
Answer:
320
Step-by-step explanation:
563/7.4=76
76*4.2=320
17. Evaluate and Synthesize
Tobacco smoking is extremely expensive to our society in economic and health costs as well as in human suffering. How would you solve the tobacco smoking problem? How would you specifically target young people?
Answer:
I would ban smoking in your county or ild advertise and ill make jobs to get people to help smokers so than they stop smoking and quit.
What is the formula that relates circumference and radius?
O A. C+ 2 = 21
O B. C = 277 Dr O C. C= 2ter O D. C= 20/1
HELP QUICK!!!!
Answer:
C = 2πr
Step-by-step explanation:
The circumference of a circle is calculated by the formula here,
C is the circumference of the circle.
r is the radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing.
Therefore the formula that relates circumference and radius is C = 2πr.
Answer:
C=2πr
Step-by-step explanation:
C =2πr is the formula to calculate circumference of a circle
Where
C=Circumferencer is radiusπ has Approx value 3.141Please solve this step by step. The winner gets brainliest award. :D
Answer:
538 dollars
Step-by-step explanation:
Principal is 500$ rate is 0.019 time is 4 years so (500)(0.019)(4)500 x 0.019 = 9.59.5 x 4 = 38500 +38 = 538Answer:
539.
Step-by-step explanation:
add 1.9 percent every year, (use this new number to take 1.9 percent out of next time)
1 500
2 509.5
3 519.1805
4\ 539.09678316
Help how do i do this
Answer:
406.3 cm²
Step-by-step explanation:
The total surface area is the sum of the base area and the lateral area. The lateral area is the sum of the areas of the 6 congruent triangular faces.
__
lateral areaEach triangular face has a base of 8 cm and a slant height of 10 cm. Its area is ...
A = 1/2bh
A = 1/2(8 cm)(10 cm) = 40 cm²
Then the area of 6 faces is 6×40 cm² = 240 cm².
total areaThe base area is given.
The total area is the sum of the lateral area and the base area:
total area = 240 cm² +166.3 cm² = 406.3 cm²
The surface area is about 406.3 cm².
i don’t understand these 2 questions. thank you.
Answer:
a) £10.50
b) £5.40
Step-by-step explanation:
In this context, "of" means "times".
__
a)1/4 × £42 = £(42/4) = £10.50
__
b)2/5 × £13.50 = £(2·13.50/5) = £(27/5) = £5.40
_____
Additional comment
The symbol "£" is a currency symbol identifying the units of the associated number. For algebraic purposes, any symbol representing units can be treated as though it were a variable.
In this question of means multiplication.
Let us start solve this question
Question 1
[tex] \small\rm{ \dfrac{1}{4} \: of \: £ \: 42}[/tex]
First we will convert whole number into a fraction
(Any number can be converted to fraction if you use 1 as the denominator)
[tex] \small\sf{ \dfrac{1}{4} \: \times \: \dfrac{42}{1}}[/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{42}{4} = £10.50 } [/tex]
Question 2
[tex] \small\rm{\dfrac{2}{5} \: of \: £ \: 13.50}[/tex]
First we will convert whole number into a fraction
[tex] \small\sf{ \dfrac{2}{5} \times \dfrac{13.50}{1} } [/tex]
Now we will multiply the numerators and denominators.
[tex] \small\sf{ \dfrac{27}{5} =£ 5.40 } [/tex]
what is the solution to this inequality x over 10 +6 >8 x<74 x>74
The solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Given inequality is:-
x / 10 + 6 ≥ 8
Put the value of x = 20
20 /10 + 6 ≥ 8
2 + 6 ≥ 8
8 ≥ 8
So the value of x will be greater than 20 or equal to 20.
Therefore the solution of the given inequality is x/10 + 6 ≥ 8 will be x ≥ 20.
To know more about inequality follow
https://brainly.com/question/24372553
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Ben tracked the attendance in his class over a period of time and recorded the data in a frequency table.
Create a dot plot for the data in the table. Hover over each number on the number line. Then click and drag up to create the dots
A dot plot for the attendance in Ben's class over a period of time is shown in the image attached below.
What is a dot plot?A dot plot can be defined as a type of line plot that is used to graphically represent a data set above a number line, especially through the use of dots.
In this scenario, a dot plot for the attendance in Ben's class over a period of time would be plotted as shown in the image attached below.
Read more on dot plots here: https://brainly.com/question/18466974
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Help me solve this question
-2 1/3 - ( - 5) = ?
Answer:
2 2/3
Step-by-step explanation:
-2 1/3 - ( - 5)
We are subtracting a negative which is like adding
-2 1/3 + ( 5)
The signs are different so we subtract and take the sign of the larger
5 - 2 1/3
Borr from the 5
4 3/3 - 2 1/3
2 2/3
The sign of the larger was positive so the answer is positive
2 2/3
The radius of a circle is 16 cm. Find its area in terms of π
Answer:
A = 804.25 cm^2
Step-by-step explanation:
Find the value of x in this figure
Mrs. bell has a 256 ounce bag of potting soil what is the greatest number of 6 ounce pots she can completely fill with soil
Solve: Eleven coins (dimes and nickels) are worth 60 cents. How many
dimes are there? _____
Solve: Eleven coins (dimes and quarters) are worth 170 cents. How many
dimes are there? _____
Answer:
first solve is 10 nickels and 1 dime
second solve is 4 quarters and 7 dimes
Step-by-step explanation:
see attached picture of both math details
An individual is making chicken-stuffed peppers for the gluten-intolerant and pita breads for the vegetarians in a cooking class. Each chicken-stuffed pepper takes twice as long to make as a pita bread. The individual needs to feed 3 gluten-intolerant and 8 vegetarian classmates. The individual has 7 hours, how much time can he spend on each chicken-stuffed pepper?
Answer:
Step-by-step explanation:
3) Which of the following is greater than 2?
a)3/4 + 1 1/8
b)8/6 +
9/12
c) 13/20 + 11/12
PLEASE HELP?! IM SO SORRY I AM NOT GOOD AT MATH!!
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches
Which equation can be used to find V, the volume of the cylinder in cubic inches?
The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given that;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inHeight = hVolume of the cylinder V = ?V = π × r² × h
V = π × (4)² × h
V = π4²h
Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
Learn more on volume of cylinder here: brainly.com/question/16788902
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Which expression shows 35+ 15 written as a product of two factors?
7(5+2)
5(6 + 3)
5(7 + 3)
7(5+3)?
Answer:
5(7+3)
Step-by-step explanation:
Because 7+3=10 and 10x5=50. And also 35+15=50 so 50 and 50
Hey there!
35 + 15
= 50
Option A.
7(5 + 2)
= 7(5) + 7(2)
= 35 + 14
= 49
49 ≠ 50
Option B.
5(6 + 3)
= 5(6) + 5(3)
= 30 + 15
= 45
45 ≠ 50
Option C.
5(7 + 3)
= 5(7) + 5(3)
= 35 + 15
= 50
50 = 50
Option D.
7(5 + 3)
= 7(5) + 7(3)
= 35 + 21
= 56
56 ≠ 50
Therefore, the answer should be:
Option C. 5(7 + 3)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
harriet took 48 minutes to ride her bike the distance from her house to the town library. if she rode at a constant rate, what fraction of the total distance did she ride in the first 12 min
Answer:
1/4
Step-by-step explanation:
If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.
Which graph and equation shows a proportional relationship between x and y?
Answer:
x is tje best answer bro ...................anyone understands this?
Answer:
[tex]144^{90}[/tex]
Step-by-step explanation:
sqrt (144^180) = (144^180 )^1/2 = 144^90
Pls, look at the picture for the question.
Answer:
Step-by-step explanation:
Answer
When you put this into your calculator, you get - 7.2111. The closest point to that is L.
Answer: -7.2111 is closest to L
5b) Find the surface area of the triangular prism. Round your answer to two decimal places.
Answer:
693.19 m^2.
Step-by-step explanation:
This consists of 2 triangles and 3 rectangles,
Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31
= 27 + 279 + 93 + 294.19
= 693.19 m^2
what is 1+1? please provide a long sentence stating why it is correct
Answer:
[tex]1 + 1 = 2[/tex]
Step-by-step explanation:
1 + 1 is equal to 2 because it is- at least that's what we believe the answer to be. It doesn't have to, but it is just what we as humans have come to recognize because it is internationally accepted.
Heck, you don't need to be a genius to understand that when you inherently have exactly one more of a thing, you have more of it. Numbers are just a way to represent more (or less if we're talking negatives). Now, we'll probably never understand why mathematics is so beautifully synchronized with our world, but it is, and we as a sentient species have come to recognize that for the longest time.
Numbers are abstract, as long as you are consistent, anything can be a number if you give it value. [tex]1+1[/tex] doesn't have to equal [tex]2[/tex], if we wanted we could make it equal to [tex]:)[/tex]. [tex]1 + 1 =\ :)[/tex]
Whether we are solving basic algebra:
[tex]:)x + 4 = 10\\:)x = 6\\x = \frac{6}{:)} =3[/tex]
Or calculating integrals:
[tex]\int\limits^{0.5}_{0} {8xe^{:)x}} \, dx\\= \frac{xe^{:)x}}{:)}-\int\limits{\frac{e^{:)x}}{:)}} \, dx\\= 4xe^{:)x} - :)e^{:)x} + C = (4x-:))e^{:)x} + C\\=(4x-:))e^{:)x}|^{0.5}_{0}\\= (4(0.5)-:))e^{:)(0.5)} - (4(0)-:))e^{:)(0)}\\= :)[/tex]
[tex]1+1[/tex] will always be whatever [tex]1+1[/tex] is.
Hopefully, I didn't get too philosophical lol.
PLEASE HELP QUICK
………
Answer:
you need to width x height x length b
Step-by-step explanation:
Length, width, and height are measurements that allow us to indicate the volume of geometric bodies. The length (6 cm) and the width (10 cm) correspond to the horizontal dimension. On the other hand, the height (5 cm)refers to the vertical dimension.