4. Each small square in the graph paper represents 1 square unit. Find the area of each
figure. Explain your reasoning.
A
B
Answers
Answer: A = 6.5
B = 10.
Step-by-step explanation:
First, remember that when we have a triangle of height H and base B, the area of the triangle is:
Area = B*H/2.
A:
First, count the complete squares:
We have 6 complete squares.
Now the diagonal part:
The diagonal connects a section of 1 by 3 squares, and the shaded area is a right triangle
Then the shaded area will be half of 1 by 3.
this is 1.5 squares.
The total area of A is:
6 + 1.5 = 7.5 squares.
B:
This is more complicated.
At the beginning, we have 4 completed squares in the top right.
At the left, we have a 2 by 4 = 8 square region, where the shaded part is only a triangle rectangle.
Then the area of this triangle is half of 8 squares:
8/2 = 4 squares.
Last, at the bottom, we have two times a 2 by 1 = 2 square region, where the shaded part is a triangle rectangle.
Then the area of each triangle is 2/2 = 1 square.
And we have two of them, so there are 2 squares here.
Then the total area is:
A = 4 + 4 + 1 + 1 = 10 squares.
Each small square In the graph paper represents 1 square unit
Related Questions
A runner gets a 30.0 meter head start then runs 5.0km/hr. Write an equation which will represent the runners distance from the start line at any second
Answers
Answer:
d = 1.4 t + 30
Step-by-step explanation:
Head start means any advantage achieved or advantage gained in any race or competition.
In the context, the runner is gained a head start of 30 meter from the starting point.
It is also given that the speed with which the runner is running is 5.0 km per hour.
Therefore, the equation that gives the distance covered by the runner from his start line at any time in seconds is given by d = 1.4 t + 30.
During a fourth of July celebration, a cannon is fired upwards from Fort Ontario. The height, h, in feet, of the cannonball above sea level at any given time, t, in seconds, can be determined by the formula h = -16t2 + 120t + 200. Find the height, in feet, of the cannonball above sea level 5 seconds after the cannon is fired.
Answers
Answer:
400 feet
Step-by-step explanation:
We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:
h = -16t² + 120t + 200
= -16 * 5² + 120 * 5 + 200
= -400 + 600 + 200 = 400 feet
Answer:
h = 400 feet
Step-by-step explanation:
given t = 5 seconds
h = -16t² + 120t + 200
just substitute t = 5
h = -16(5)² + 120(5) + 200
h = 400 feet
Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9
Answers
Answer:
To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given
24/45=0.533...
8/15=0.533...
48/90=0.533...
5/9=0.5556
As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556
Step-by-step explanation:
A fraction is a way to describe a part of a whole. The fraction that equals 0.53 is (8/15).
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of the given fractions is equal to,
A.)
[tex]\dfrac{24}{46} = 0.5217[/tex]
B.)
[tex]\dfrac{8}{15} = 0.5333[/tex]
C.)
[tex]\dfrac{42}{90} = 0.4666[/tex]
D.)
[tex]\dfrac{24}{46} = 0.55556[/tex]
Hence, the fraction that equals 0.53 is (8/15).
Learn more about Fraction:
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if sin theta=1/root 3, then find the value of (tan theta + 1/cos theta)^2 + (tan theta - 1/cos theta)^2
Answers
Answer:
4
Step-by-step explanation:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}=\frac{1}{\sqrt{3} }\\ \\Therefore, opposite= 1, hypotenuse=\sqrt{3}. \ using \ Pythagoras:\\\\Hypotenuse^2=Adjacent^2+Opposite^2\\\\(\sqrt{3})^2 =Adjacent^2+1^2\\\\3=Adjacent^2+1\\\\Adjacent^2=3-1=2\\\\Adjacent=\sqrt{2}[/tex]
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}=\frac{\sqrt{2} }{\sqrt{3}}\\ \\tan(\theta)=\frac{opposite}{adjacent } = \frac{1}{\sqrt{2}} \\\\Therefore:\\\\(tan(\theta)+\frac{1}{cos(\theta)})^2+ (tan(\theta)-\frac{1}{cos(\theta)})^2=( \frac{1}{\sqrt{2}}+\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2+( \frac{1}{\sqrt{2}}-\frac{1}{ \frac{\sqrt{2} }{\sqrt{3}}} )^2\\\\=( \frac{1}{\sqrt{2}}+ \frac{\sqrt{3} }{\sqrt{2}} )^2+( \frac{1}{\sqrt{2}}- \frac{\sqrt{3} }{\sqrt{2}} )^2[/tex]
[tex]=(\frac{1+\sqrt{3} }{\sqrt{2} } )^2+(\frac{1-\sqrt{3} }{\sqrt{2} } )^2=\frac{1+2\sqrt{3}+3 }{2} +\frac{1-2\sqrt{3}+3 }{2} =\frac{1+1+2\sqrt{3}-2\sqrt{3}+3+3 }{2} =\frac{8}{2}=4[/tex]
HELP ME Four students each wrote an equation. Which two students wrote equations that have no solution?
Answers
Answer:
Beto and Mark
Step-by-step explanation:
When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.
Which exponential function is represented by the table below? x –2 0 2 4 y 16 4 1 14 A. 4⋅2x B. 14⋅4x C. 4⋅(12)x D. 4⋅(14)x
Answers
The exponential function represented by the table is given as follows:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex].
In which:
a is the initial value.b is the rate of change.Considering the table:
When x = 0, y = 4, hence a = 4.When x changes by 2, y changes by 1/4, hence b = 1/2.Then the equation is:
[tex]y = 4\left(\frac{1}{2}\right)^x[/tex]
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This agency preserves and promotes public confidence in the U.S. Financial system by insuring deposits in banks and thrift institutions for at least $250,000.
Answers
How many significant digits are in
17.090?
Answers
Answer: 4
Step-by-step explanation:
Answer:
there are 5 significant digits
60=-5(-6-3z)
Find the solution
Answers
Answer:
z=2
Step-by-step explanation:
60=-5(-6-3z)
60= 30+15z
60-30=15z
30/15=15z/15
2=z
If given an equation of a line such as y = -1/2x + 6, demonstrate on the whiteboard how to create an equation of a line parallel and perpendicular to this line that goes through another point such as (4, 10).
Answers
Answer:
parallel line y = -1/2x + 12
perpendicular line y = 2x + 2
Step-by-step explanation:
slope = -1/2
perpendicular slope = 2
y = mx + b
10 = -1/2(4) + b
10 = -2 + b
12 = b
y = -1/2x + 12
10 = 2(4) + b
10 = 8 + b
2 = b
y = 2x + 2
can someone pls explain to me how to Order the following numbers in an ascending order?
[tex]3.61 \times 10^{ - 8} [/tex]
[tex]1.22 \times 10^{- 8} [/tex]
[tex]7.49 \times 10 ^{ - 6} [/tex]
[tex]5.5 \times 10 ^{ - 6} [/tex]
[tex]2.87 \times 10 ^{ - 5} [/tex]
Answers
Answer:
swap 1,2; swap 3,4
Step-by-step explanation:
Put the numbers in scientific notation, with one digit left of the decimal point.
The number with the largest exponent is largest.
If exponents are equal, the number with the largest mantissa is the largest.
__
Here, the exponents are already in order, so you need only order the mantissas for each exponent. Ascending order is ...
[tex]1.22\times10^{-8}\\3.61\times10^{-8}\\5.5\times10^{-6}\\7.49\times10^{-6}\\2.87\times10^{-5}[/tex]
I can't get to get this right can you please help me
Answers
Answer:
[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
[tex](-7,4][/tex]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
[tex]\{x|-7<x\leq 4\}[/tex]
Answer:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
(-7,4](−7,4]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
\{x|-7
please help me on this geometry i’ll mark u the brainliest
Answers
Answer:
XN = 6Step-by-step explanation:
If XY is bisector of angle AXN then: [tex]\dfrac{YN}{AY}=\dfrac{XN}{AX}[/tex]
[tex]\dfrac4{12}=\dfrac{XN}{18}\\\\XN=\dfrac4{12}\cdot18\\\\XN=6[/tex]
f(x) = √x+7 = ; g(x) = 8x - 11 find f(g(x))
Answers
Answer:
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Step-by-step explanation:
[tex]f(x) = \sqrt{x + 7} \\ \\ g(x) = 8x - 11[/tex]To find f(g(x)) substitute g(x) into f(x) that's for every x in f (x) replace it by g (x)
We have
[tex]f(g(x)) = \sqrt{8x - 11 + 7} [/tex]We have the final answer as
[tex]f(g(x)) = \sqrt{8x - 4} [/tex]Hope this helps you
Write the slope intercept form for a line that goes through the points (5,6) and
(6,9).
Answers
Answer:
[tex]\huge\boxed{Slope = 3}[/tex]
Step-by-step explanation:
The coordinates are (5,6) and (6,9)
Slope = Rise / run
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Slope = [tex]\frac{9-6}{6-5}[/tex]
Slope = [tex]\frac{3}{1}[/tex]
Slope = 3
Answer:
[tex]slope = 3[/tex]
Hope this helps you
brainliest plz
help asap please:) i don’t know
Answers
Answer:
Step-by-step explanation:
area of triangle = 1/2 × b × h
here,
b = 37 m
h = 30 m
so area = 1/2 × b × h
= 1/2 × 37 × 30
= 555 m^2
hope this helps
plz mark as brainliest!!!!!!!
Rachel is making nachos for a party. The recipe calls for 2/3 cup of cheese for each plate of nachos. Part A: How many full plates of nachos can Rachel make with 5 cups of cheese? Part B: How many more cups of cheese would Rachel need to make 9 plates of nachos?
Answers
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Which of the following is not the same as 1.69 meters? 0.0169 km 0.169 dkm 169 cm 1,690 mm
Answers
Answer:
0.0169 km.
Step-by-step explanation:
km - kilometers (One kilometer is equal to 1000 meters.)
dkm - dekameters (One dekameter is equal to 10 meters.)
cm - centimeters (One centimeter is equal to 0.01 meters.)
mm - millimeters (One millimeter is equal to 0.1 meters.)
Used a calc to check each of the values to see if they equal 1.69m and km was the one that wasn't equal. Instead it was 16.9.
Answer:
1.69 meter
Step-by-step explanation:
a number plus 12 is 36. write an equation and use equation to solve
Answers
Answer:
24
Step-by-step explanation
36-12=24
Its as simple as that.
A number plus 12 is 36. The equation for the given calculation is 36 - 12 = 24.
What is the arithmetic equation?Arithmetic is the fundamental branch of mathematics that covers number operations. Addition, subtraction, multiplication, and division are the operations involved.
The difference between each consecutive term in an arithmetic series is constant. The series 3, 5, 7, 9..., for example, is arithmetic because the difference between consecutive terms is always two.
Because the difference between subsequent words is always negative five, the sequence 21, 16, 11, 6... is also arithmetic.
Let the number added to 12 is x
Then,
12 + x = 36
x = 36 - 12 = 24
Therefore, the equation for the given calculation is 36 - 12 = 24.
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The probability of spinning an even number on a spinner is 0.4. What is the probability of not spinning an even number, expressed as a percent?
Answers
Answer:
60%
Step-by-step explanation:
There are only even and odd numbers. If a number is not even, it is odd. If the probability of spinning an even number is 0.4, or 40%, then just subtract that by the whole spinner, which is equivalent to 100%:
100% - 40%
= 60%
This means that the odds of spinning an odd number is 60%
Hope this helps! Tell me if I'm wrong please!
Answer:
60%
Step-by-step explanation:
how would i find y i need helppp
Answers
Answer:
C
Step-by-step explanation:
sin30° = y/6
sin30° = 1/2
y/6 = 1/2
y = 3
4)
Jason is on a diet. His goal is to lose 5.9 pounds per month. How much weight will he have lost after 3.3 months?
Answers
Answer:
if he lost 5.9 in 3.3 months he we would lost weight.
5.9* 3.3 19.47lbs
HELP HELP HELP PLEASE ASAP
Answers
Answer:
0.37 feet.
Step-by-step explanation:
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Volume (V) = 4100 ft³
Height (h) = 9504 ft
Pi (π) = 3.14
Radius (r) =?
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.
A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that both marbles drawn will be green?
Answers
Answer:
Probability that both marbles drawn will be green = 1 / 20
Step-by-step explanation:
(It is assumed that marbles are not returned in the bag)
[tex]p(1st \: marble \: drawn \: is \: green) = \frac{5}{20} [/tex]
[tex]p(2nd \: marble \: drawn \: is \: green) = \frac{4}{20} [/tex]
Multiplying theses we get :
[tex]p(both \: marbles \: drawn \: are \: green) = \frac{5}{20} \times \frac{4}{20} = \frac{1}{20} [/tex]
Convert the following to scientific notation: 5050
Answers
Answer:
5.05*10³
Step-by-step explanation:
Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.5050 = 5.05 *1000 = 5.05*10³What constitutes a function
Answers
Answer:
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output...
a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.
Answers
Answer:
Step-by-step explanation:
A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water and 1 teaspoon of salt.
Therefore, if we add 2 loaves of bread then double of ingredients will be required for the recipe.
In the same way if 4 loaves of bread have been added, 4 times ingredients will be required.
If 3 cups of flour are added then 3 times of other ingredients will be required.
So the table will be,
Number of loaves Cups of flour Tablespoons of water Teaspoons of salt
1 2 12 1
2 4 24 2
4 8 48 4
3 6 36 3
In the expression 2x - 8 what is x referred to as?
1. coefficient
2. variable
3. constant
Which is NOT an equation?
1. 5 - 4x
2. 6x - 5 = 8
3. x/3 + 9 = -1
Answers
Answer:
Step-by-step explanation:
A) 2x - 8
x is called variable
Option 2
B) 5 - 4x is not a equation
Option 1
Please help me on this question
Answers
Answer:
2+7=9
450/9 = 50
2( 50) = 100 no concentrate
7(50) or 450 - 100 = 350 ml water
Which one is greater 10 squared or 22/7
Answers
Answer:
(22/7)²
576/49
is your answer hope it's help u