Answers
Answer:
Area = 28 cm^2
Step-by-step explanation:
Triangle Area = 1/2 * 5 * 4 = 10 cm^2
Big Rectangle = 4 * 3 = 12 cm^2
Small Rectangle = 4 * 1.5 = 6 cm^2
Total Area = 10 + 12 + 6 = 28 cm^2
Answer:
Step-by-step explanation:
Discussion
Area of the Triangle
3 4 5 is the first triangle most people encounter when they begin their study of the Pythagorean Theorem. You can show this to be true by trying it.
c = 5
b = 3
a = 4
c^2 = a^2 + b^2 Equation Substitute values
c^2 = 3^2 + 4^2 Expand
c^2 = 9 + 16 Combine
c^2 = 25 Take the square root of both sides.
√c^2 = √25
c = 5 Which is exactly what you are given.
A right triangle has the property of Area = 1/2 * a * b using the values given above.
Find the area of the triangle
Area = 1/2 a * b
Area = 1/2 3 * 4
Area = 6
Find the area of the rectangle
L = 3 + 1.5 =4.5 Just add the two parts of the vertical line together.
w = 8 - 4 = 4
Area of the rectangle = L * w Substitute values
Area of the rectangle = 4.5 * 4
Area of the rectangle = 18 Add
Total area 24
Answer
24 cm^2
Related Questions
How much should you put in an investment paying a simple interest rate of 5% if you needed $4000 in eighteen mont
Answers
Answer:
$ 53,333.33
Step-by-step explanation:
The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.
Work:
First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation
P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333
P = $ 53,333.33
Which is bigger 1.47 or -1.47
Answers
Answer:
1.47 is larger
Step-by-step explanation:
the reason why it's larger is bc the negative sign shows it's below zero
does anyone know how to turn this into written form?
Answers
Answer:
Down below
Step-by-step explanation:
First one: Sixth root of B. Second one: Fourth root of X to the Z power. Third one: Square root of nine to the third power. Fourth one: M root of M to the P power. Fifth one: Square root of J to the two plus x power.
Sorry if this is wrong. I'm almost positive this is correct. The only one I'm not sure about is the third one and maybe the last one. Since there's no two there I'm not sure if it would still be called the square root.
ANSWER CORRECTLY FOR BRAINLIEST!! (ALGEBA)
Answers
Answer:
267.95 cubic yards
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
radius: 4 ydVolume:
4/3 π(radius)³insert values
4/3 (3.14)(4)³simplify
267.9466final answer
267.95 yd³|2x+1|=-13 what is the answer
Answers
Answer:
There is no answer
Because absolute value causes a positive answer and it is written here -13 !!!
it's impossible
A group of friends were working on a student film. They spent all their budget on equipment and props. They spent $712 on equipment, and 11% of the total budget on props. What was the total budget for their student film?
Answers
Answer:
800 dollars
Step-by-step explanation:
The amount spent on equipment is 89% of the total
712÷89 = 8 x 100 = $800
isaac gets paid $400.00 per week plus a commission of $10.00 for every item he sells. write the equation that shows the relationship between the number of items he sells and his weekly income.
Answers
y= 10x + 400 is the correct equation
Answer:
400w + 10x
I have no idea what I'm doing
What is the area of the square with a length of 3/4 and a width of 3/4, in square units?
Answers
Decimal Form: 0.5625 (Not Rounded)
If x and y vary inversely, and y =6 when x=7, what is the constant of variation
Answers
Answer:
x alpha 1/y
: Introducing a constant k
x = k/y
where x = 7, y= 6
7 = k / 6
Cross Multiply
K ( constant) = 42
Answer: k = 42
Step-by-step explanation:
Formula = [tex]y = \frac{k}{x}[/tex]
plug in values:
6 = [tex]\frac{k}{7}[/tex]
multiply both sides by 7
k = 42
The difference between a number and seven is less than or equal to -3. Find the possible numbers. n ≤ 4 n ≥ 4 n ≤ -10 n ≥ -10
Answers
Answer:
n ≤ 4
Step-by-step explanation:
"The difference between a number and seven is less than or equal to -3" can be written as n-7 ≤ -3
n-7 ≤ -3
Add 7 to both sides
n ≤ 4
Answer is n ≤ 4
See picture attached for the math
A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.
Answers
Answer:
A, D, E
Step-by-step explanation:
AREA OF SQUARE
[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]
AREA OF RECTANGLE
[tex]x(x - 2) = x^2 - 2x[/tex]
Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.
[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]
Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.
Find the area of the yellow region.
Round to the nearest tenth.
5ft
Answers
Answer: 9.3
I calculated the area of the square, then I calculated the area of the circle. Then I subtracted the two.
Answer:
5.3
Step-by-step explanation:
A square has equal sides
LXW=A
5x5= 25
diameter of the circle is 5 ft
D/2=R 5/2= 2.5
Area of a circle is [tex]\pi r^2[/tex] (Pi=3.14)
[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25= 19.625.
Area of yellow region
Area of square - Area of circle.
25-19.625 = 5.375 rounded to nearest 10th is 5.3
Please solve (high points)
Answers
Answer:
a = 13.24 m
Step-by-step explanation:
Finding ∠A :
∠A + ∠B + ∠C = 180° (Angle Sum Property)∠A = 180° - 48° - 54°∠A = 180° - 102°∠A = 78°Applying the Law of Sines :
a / sin78° = 10 / sin48°a / 0.98 = 10 / 0.74a = 13.51 x 0.98a = 13.24 mAnswer:
13.2 m
Step-by-step explanation:
The Law of Sines can be used to solve a triangle when angles and one side are known.
__
setupThe angles of a triangle total 180°, so the missing angle A is ...
∠A = 180° -48° -54° = 78°
The Law of Sines tells us ...
a/sin(A) = b/sin(B)
a/sin(78°) = (10.0 m)/sin(48°)
__
solutionMultiplying by sin(78°), we find ...
a = sin(78°)/sin(48°)×(10.0 m) ≈ 0.978148/0.743145×(10.0 m)
a = 13.1623 m
The length of side 'a' is approximately 13.2 meters.
Helppppppppppppooooo
Answers
Answer:
864 ft^2
Step-by-step explanation:
Surface area equation is the same as the one used in the other problem; S=(1/2)lP + B
one side is 20 x 14 = 280
another side is 12x14 = 168
another side is 16x14 = 224
the triangle bases are A=(1/2)bh
(1/2)12 x 16 = 96
2(96) = 192
Add all sides together 192 + 224 + 280 + 168 = 864
The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?
Answers
The total amount of debt is $119,340.
What is the amount of total debt?The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio
Total debt ratio = total debt / total asset
total debt = value of the ratio x value of the assets
0.51 x $234,000 = $119,340
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You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answers
Answer:
Your net pay is
[tex]$1410[/tex]
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]
I need helppppppp :((
Answers
Answer:
H x/10 = 18/8
Step-by-step explanation:
The fact that DE is parallel to CB means DE divides AC in the same proportion that it divides AB. This fact can be used to write a proportion to find x.
__
[tex]\dfrac{\overline{DC}}{\overline{AD}}=\dfrac{\overline{EB}}{\overline{AE}}\\\\\boxed{\dfrac{x}{10}=\dfrac{18}{8}}\qquad\text{matches choice }\textbf{H}[/tex]
_____
Additional comment
The values used in the other answer ratios are not "corresponding."
Answer:
H
Step-by-step explanation:
∠ADE is a scaled version of ∠ ABC.
So,
18:8
and
10:x
Ratios can be expressed as fractions:
[tex]\frac{8}{18}[/tex] and [tex]\frac{x}{10}[/tex].
Since the scale factor is the same,8/18 has to be the same as 10/x.
Therefore,[tex]\frac{8}{18}[/tex]=[tex]\frac{x}{10}[/tex].
Hope this helps!!!
Please mark me as brainliest!!!
This took a lot of effort.
Please help. Don’t understand
Answers
If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given in the question that:-
The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]
We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]
Now from the options, the only value which satisfies this angle is tan∅=-√3.
[tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]
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Match each function with its range.
Answers
Step-by-step explanation:
1. y <= 0
2. all real numbers
3. y >= 0
4. y >= 2
5. y >= -2
6. y <= 2
Which of the following are solutions to the quadratic equation below?
Check all that apply.
x^2+ 6x + 9 = 2
Answers
Answer:
C & D
Step-by-step explanation:
x^2+6x+7=0
Delta=b^2-4ac=6^2-(4*1*7)=36-28=8
X=((-b)+-(delta)^(1/2))/2
X=((-6)+-(2^(3/2)))/2
[tex]x1 = - 3 - \sqrt{2} \\ x2 = - 3 + \sqrt{2} [/tex]
Can someone answer these 2 for me please ? :)
Answers
Answer:
1) B. (6,-3)
2) D. (-8,-2)
HELP PLS I NEED help this is to get my grade up
Answers
Answer: Around 10 days. The real answer is 10 2/3.
Answer:
10 and 2-third days.
Convert mixed number to improper fraction
Initial equation
[tex]\frac{176}{9} / \frac{11}{6}[/tex]
Next, multiply the numerators by the numerators, and do the same for the denominators. Flip the second number to 6/11
[tex]\frac{176 * 6}{9 * 11}[/tex]
[tex]= \frac{1056}{99}[/tex]
Simplify.
[tex]\frac{1056}{99} -- > 10\frac{2}{3}[/tex]
Find the area of the given triangle.
Round your answer to the nearest tenth. Do not round any intermediate computations.
Answers
Answer: 88 units²
Step-by-step explanation: Alright, this ones is easy. Ok, so we know we have a right triangle so, therefore, we can find the missing sides required using trigoneomeric functions. If you dont know what these are here, take a look:
sinФ= opposite/hypotenuese
cosФ= adjancent over hypotneuse
tanФ= opposite/adjecent.
angle is 34
In this case the opp (opposite would be the base of the trinagle, the adj would be 16 units, and the hyportneuse would be "we dont know"
From here, we can set up this equation to find the area->
If, tanФ= opp/adj and opp= ? and adj=16tan34°*16=opp-------->≈11 unitsNow we know the base and height of the triangle, so using the formula 1/2*B*H for the area we get 88 units². Thank you!
The Area of Triangle is 86.272 unit².
What is Trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Perpendicular = 16
Using Trigonometry
tan 34 = P / B
0.674 = 16/ B
B= 10.784
So, Area of Triangle = 1/2 x b x h
= 1/2 x 16 x 10.784
= 86.272 unit²
Hence, the Area of Triangle is 86.272 unit².
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Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.
A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
The volume of the can is about _____.
Answers
Answer:
1230.9
step by step explanation:
Each morning, Jon rides 1.5 miles to school and then rides to his aunt’s house after school. Later in the evening, he takes the same route to get back to his house. Over 5 days, he rides 44 miles.
Which equation can be used to find x, the distance from school to his aunt’s house?
Answers
The equation that can be used to determine the distance from school to his aunt's house is x = 29 miles / 10.What equation can be used to represent the total distance travelled? Total miles rode = 10(miles ridden to school) + (10 x miles rode to his aunt's house from school) 44 miles = (10 x 1.5) + (10 × x)44 miles = 15 miles + 10x What equation that can be used to determine distance rode from school to her aunt's house? Given this equation : 44 miles = 15 miles + 10x, take the following steps: Combine similar terms: 44 miles - 15 miles = 10x 29 miles = 10x Divide both sides by 10 x = 29 miles / 10
Which doubles fact helps help you solve 5+6=11
Answers
We have to double 5 and add 1 to get the same result.
5 + 5 + 1 = 11
We can also double 6 and subtract 1 to get the same result.
6 + 6 - 1 = 11
Hope this will helpful.
Answer:
They can use counters or their fingers, but they can also use doubles facts. If they know 5 + 5 = 10, they know that the sum of 5 + 6 will be one more. Thus, 5 + 6 = 11. Practice solving other doubles-plus-one facts together, such as 3 + 4, 7 + 8, and 9 + 8.
Right triangles and trigonometry
Answers
Answer:
x=5.11
Step-by-step explanation:
Hi there!
We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees
We also know one of the sides is 42, another is x, and the other one is not marked
We want to find the value of x, which we can do using trigonometry
The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse
Cosine, which is adjacent/hypotenuse
Tangent, which is opposite/adjacent
First, let's find which side is which
The side opposite the 64 degree angle is the opposite; this side is the side marked as 42
The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x
The hypotenuse in this case would be the side that hasn't been marked yet
Since we are given values for both the opposite and the adjacent, let's use tangent to find x
Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.
Therefore, the ratio will be:
[tex]tan(64)=\frac{42}{x}[/tex]
Now we need to solve for x; start by multiplying both sides by x
x * tan(64) = 12
Now divide both sides by tan(64)
x = [tex]\frac{12}{tan(64)}[/tex]
Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode
[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)
So x is about 5.11
Hope this helps!
Topic: trigonometry in right triangles
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There are two boys and 23 girls, what’s the ratio of girls to all children?
Answers
Answer:
23:25
Step-by-step explanation:
Answer:
23/25 23 to 25 23:25
Step-by-step explanation:
Two boys 23 girls=25 children
girls=23
23/25
I really need help answering this!
Answers
Answer: 15
Step-by-step explanation:
Pythagorean theorem: c^2 = a^2 + b^2 where c is hypotenuse, a and b are legs.
In this problem:
a = 20
c = 25
b - ?
b^2 = c^2 - a^2
b^2 = 25^2 - 20^2
b^2 = 625 - 400
b^2 = 225
b = sqrt(225)
b = 15
free easy point just answer pls, i need help!!!
Answers
Answer:AA , BB , and CC are parallel to MN.
Step-by-step explanation: