Answers
The area of the triangle is equal to 12 mm².
Area of triangle
The area of a triangle is given by the formula:[tex]A=\frac{bh}{2}[/tex], where:
b= length of the base;
h=height
STEP 1 - Find the dimensions for the base and the height of the triangle.From the figure, it is possible to see that h= base of rectangle - 4 mm. Then, the height of the triangle(h)= 10-4=6 mm.
You can see that the sum of the base of the triangle with the height of the rectangle is equal to 12 mm. The figure also shows that the height of this rectangle is equal to 8 mm. Thus, the base of the triangle(h)= 12-8=4 mm.
STEP 2 - Find the area of the triangle.
From step 1:
b= length of the base= 4
h=height=6
Therefore, the area of the triangle - [tex]A=\frac{bh}{2}=\frac{4 * 6}{2}=\frac{24}{2} =12 mm^2[/tex].
Learn more about the area of compound shapes here:
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Related Questions
In a state lottery, there are 12 finalists who are eligible for the Big Money Draw. In how many ways can the first, second, and third prizes be awarded if no ticket holder can win more than one prize? ways
Answers
Answer: 1320 ways
Step-by-step explanation:
In this scenario, 12 finalists are eligible for the money draw and no finalist can win more than one prize.
So for the 1st prize we have 12 finalists
For the 2nd prize we have 11 finalists
And finally, for the 3rd prize we have 10 finalists
Using the multiplication principle:
Total number of ways = 12 x 11 x 10
= 1320
Therefore, there are 1320 ways the first, second, and third prizes be awarded
How much water does a rectangular tank with a square base of 2.5 yards and a height of 4 yards
hold?
Answers
Area of base:-
side²2.5²6.25yd²Volume:-
Area of base×Height6.25(4)25yd³2 √3 / √7 - 3 rationalise
Answers
Answer:
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the question asks us to rationalise the given expression ! thus , we'll just have to remove the √7 from the denominator by any means.
well , let's start ~
[tex] \frac{2 \sqrt{3} }{ \sqrt{7 } - 3} \\ \\ \implies \: \frac{2 \sqrt{3} }{ \sqrt{7} - 3} \: \times \: \frac{ \sqrt{7} + 3}{ \sqrt{7} + 3} = \frac{2 \sqrt{21} + 6 \sqrt{3} }{( \sqrt{7) } {}^{2} - (3) {}^{2} } \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{7 - 9} \\ \\ \implies \: \frac{2 \sqrt{21} + 6 \sqrt{3} }{2} \\ \\ \implies \: \frac{\cancel{2}( \sqrt{21} + 3 \sqrt{3)} }{\cancel{2} } \\ \\\bold\red{ \implies \: \sqrt{21 } + 3 \sqrt{3}} [/tex]
hope helpful :D
If a(x) = 2x - 4 and b(x) = x 2, which of the following expressions produces a quadratic function? (ab)(x) (startfraction a over b endfraction) (x) (a – b)(x) (a b)(x)
Answers
The expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two. The standard form of the quadratic function is,
[tex]f(x)=ax^2+bx+c[/tex]
Here,(a,b, c) is the real numbers and (x) is the variable.
The two function for the variable x is given as,
[tex]a(x) = 2x - 4[/tex]
[tex]b(x) = x +2[/tex]
These are the binary function, and the product of two binary function provide a quadratic function. The product or the multiplication of these two function will provide a quadratic function. Thus,
[tex]a(x) b(x)= (2x - 4)(x+2)\\(ab)(x)=2x^2+4x-4x-8\\(ab)(x)=2x^2-8[/tex]
Thus, the expressions which produce a quadratic function is the product of the provided binary functions (ab)(x).
Learn more about the quadratic function here;
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Which expression is equivalent to (15)(15-?)?
Answers
Answer:
C
Step-by-step explanation:
15 ^3 * 15 ^ -7 = 15^3 / 15^7 = 1 / (15^7 -3) = 1/(15 ^4)
(not just answer. need evidence)
Rania has 12 teaspoons of salt for a large recipe. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Rania have?
Answers
Answer:
4
Step-by-step explanation:
Heres how I got it!
12 tsp of salt=x of tablespoons
We know that for every 3 teaspoons, there is 1 tablespoon. So, we just need to divide!
12/3=4 tablespoons
Pls Help me :(
2. 75, 84, 90, 77, 84, 78, 91, 94, 83
Mean______ Median_______ Mode______
Answers
Answer:
Mean=83.9 Median=83.5Mode=83, 84
8. The drawing below represents a new garden that will be bordered with alternating sections of
brick and concrete. All of the sections will cover approximately the same area.
Section 1
I
А
If Section 1 uses concrete to cover approximately 9 square feet, which is closest to the total
area that will be covered with the concrete sections?
40 square feet
B. 55 square feet
C 70 square feet
D. 95 square feet
Answers
According to the information, it can be inferred that the option that is closest to the area occupied is 40 square feet (option A).
How to calculate the total area covered with brick and concrete?To calculate the total area covered with brick and concrete we must identify how many sections of brick the garden will have, according to the image it can be inferred that there are four sections of brick and concrete in total.
According to the above, what we must do is multiply the area of the section by the number of sections (4).
9 square feet × 4 = 36 square feet.So option A, 40 square feet is the closest to the total area occupied by bricks. Then it would be the correct option.
Learn more about square feet in: https://brainly.com/question/11426645
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet? 1884 feet 4415.63 feet 58.88 feet 117.75 feet
Answers
The distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
How to calculate the circumference of a circle?The formula for calculating the circumference of a circle is expressed as:
C = 2πr
r is the radius of the circle
Given the following parameters
r = 75ft
Substitute the parameters to have:
C = 2(3.14)(75)
C = 471feet
Hence the distance that the handler move from the starting point to the return point if he creates an arc of a circle with radius 75 feet is 471 feet
Learn more on circumference here: https://brainly.com/question/26215003
4 less than four times a number is equal to three times the same number plus 1
Answers
Answer:
True
Step-by-step explanation:
5 x 4 - 4 = 16
5 x 3 + 1 = 16
Three students are sitting on a school bus. Cassie is 5 feet directly behind Grayson and 5 feet
directly left of Deb. Cassie makes a paper airplane and throws it to Grayson. Grayson throws
the airplane to Deb, who throws it back to Cassie. How far has the paper airplane traveled? If
necessary, round to the nearest tenth.
feet
Answers
Answer:
I think it's 15.
Step-by-step explanation:
I would double check that though cuz it kinda seems like a trick question in a way. But i'm not sure.
PLEASE HELP ASAAPPPPPP!!!!!!!
Which statements are true, according to the graph?
A Time is the independent variable
B Time is the dependent variable
C Distance is the independent variable
D Distance is the dependent variable
E Rate of change is Δdistance/Δtime
F Rate of change is Δtime/Δdistance
G Ted's rate of change is 10 miles per hour
H Ted's rate of change is 15 miles per hour
I Jason's rate of change is 10 miles per hour
J Jason's rate of change is 20 miles per hour
K Ted's rate of change is 10 miles per hour faster than
L Jason's Jason's rate of change equals Ted's rate at one hour
Answers
Using function concepts, it is found that the correct statements are:
A Time is the independent variable.
D Distance is the dependent variable.
E Rate of change is Δdistance/Δtime
G Ted's rate of change is 10 miles per hour.
J Jason's rate of change is 20 miles per hour.
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
In this problem, the distance depends on the time, hence distance is the dependent variable and time is independent, which means that options A and D are correct.
The rate of change is given by the change in the output(dependent) divided by the change in the input(independent), hence option E is correct.
For Ted, the rate is of 10 mph, while for Jason, it is of 20 mph. Hence options G and J are correct.
More can be learned about functions at https://brainly.com/question/25537936
Help ASAP!!!
Forks: 16, 8, ?
Spoons: 10, ? , 30
Answers
Answer:
Step-by-step explanation:
if f(x)= -2x+3 (4-5), what is f(7).
Answers
Answer:
f(7) is -17
Step-by-step explanation:
Plug in seven for x:
-2 (7) + 3 (4-5)
-14 + 3 (-1)
-14 + -3
-17
can some one help me this please?
Answers
Answer:
x=-2
Step-by-step explanation:
Lamont sliced 5 small oranges into equal fifths. He then ate 6/5 of the oranges. How is this fraction written as a decimal number?
Answers
Answer: It is 1.2 in decimal number format
Please give brainliest if this makes the most sense!
Which of the following do not represent a function of x?
F
G
H
J
Answers
1 is the solution
A dog has a litter of 8 puppies. In how many ways can a group of 5 puppies be chosen?
Answers
The number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Permutation and CombinationPermutation has to do with arrangement while combination has to do with selection.
From the queston, since we are to select 5 puppies from a litter of 8 puppes, this can be done as shown:
8C5 = 8!/(8-5)!5!
8C5 = 8!/3!5!
8C5 = 8*7*6*5!/6*5!
8C5 = 8* 7
8C5 = 56ways
Hence the number of ways 5 puppies can be chosen from a litter of 8 puppies is 56 ways
Learn more on combination here: https://brainly.com/question/11732255
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Solve the system of equations! I will mark branliest!
Answers
Answer:
x = -166, y = 34
Step-by-step explanation:
5(x+2y) - 3 = 3x+5
4(x-3y) - 50 = -33y
Open both equations
5x+10y - 3 = 3x+5
2x+10y = 8
4x-12y - 50 = -33y
4x+21y = 50
Now multiply -2 on both sides of 1st equation.
(easier to add both equations.)
-4x+-20y = -16
4x+21y = 50
Add both equations
x cancels out
y = 34
plug y back into other equation to find x
2x + 340 = 8
2x = -332
x = -166
Answer:
y = 34, x = -166
Step-by-step explanation:
Let's simplify the first equation.
5(x + 2y) - 3 = 3x + 5
We can multiply the 5 out:
5x + 10y - 3 = 3x + 5
Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:
2x + 10y - 3 = 5
Add 3 on both sides and subtract 10y on both sides.
2x = 8 - 10y
Divide 2 on both sides.
x = 4 - 5y
Now to the next equation!
4(x - 3y) - 50 = -33y
Multiply 4 out:
4x - 12y - 50 = -33y
Add 12y and 50 on both sides.
4x = -21y + 50
Now divide 4 on both sides!
x = -5.25y + 12.5
Now we have these equations:
x = 4 - 5y
x = -5.25y + 12.5
Therefore 4 - 5y = -5.25y + 12.5
Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:
0.25y = 8.5
Now multiply by 4 on both sides to bring y's coefficient to 1:
y = 34
Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132
Abi takes a job with a starting salary of $100,000 for the first year. she earns a 3% increase each year. to the nearest dollar, how much does abi make over the first six years? $600,000 $618,000 $646,841 $716,431
Answers
Answer:
$646,841
Step-by-step explanation:
Got it right on Edge
A parallelogram has one angle that measures 125°. What are the measures of the other three angles in the parallelogram?
Answers
Answer:
the other 3 sides are 125,55 and 55 - hope this helped :)
Step-by-step explanation:
side 1 = 125
side 2 = 125
side 3 and 4 = ?
360 - 250 = 110
110/2 = 55
side 3 and 4 = 55
Pls help need this to pass
Answers
Answer:
408in[tex]^{2}[/tex]
Step-by-step explanation:
1.) First, find the area of the base (**If you don't know how to do this, just find the length and width, then multiply them together). Since there aren't any other measurements, I'm guessing all sides are 12 inches (12x12=144).
2.) Next, find the area of the triangle. Use 12 and 11 as your measurements in this case (12x11=132).
3.) Now, divide your answer from step 2 (132) by 2 (132/2=66). This is because usually, triangles are HALF of the area of a square. If you skip this step, you will have made a cube instead of a pyramid.
4.) Multiply the answer from step 3 (66) by 4 (66x4=264), since there's 4 triangles on the pyramid.
5.) Add the answer from steps 4 (264) and 1 (144). This should get you the TOTAL surface area (408in[tex]^{2}[/tex]).
stacy runs 16 miles is 4.5 hours. what is stacys average speed?
Answers
Answer: Stacy's average speed is 3.55555555556 or approximate 3.56 miles per hour. Speed ≈ 3.56
Step-by-step explanation: You simply solve by taking the number of miles dividing it by the number of hours and you get 16 ÷ 4.5 which gets your answer to be approximately 3.56 miles per hour (mph). I hope this helped you! Let me know if you need me to explain more!
16 miles in 4.5 hours.
to find:the average speed.
solution:[tex]speed = \frac{distance}{time} [/tex]
[tex]s = \frac{d}{t} [/tex]
[tex]s = \frac{16}{4.5} [/tex]
[tex] = 3.5555555556[/tex]
[tex] = 3.56m |hr[/tex]
therefore, the average speed of Stacy is 3.56 m/hr.
Which situation is best modeled by the inequality h > 35
Answers
Answer: The answer is You must be at least 35 years old to be president.
Step-by-step explanation: i just did this
Carson must create a new password for his Nintendo Switch. The password must contain five
different letters and two different numbers. Both of the numbers must be at the end. He doesn't
want to use any letters in his name either.
1. What is the total number of passwords Carson can create?
Show your work AND write your answer in standard form (and label your answer),
2. Provide 2 different examples of passwords that he could use.
Remember to follow the password rules described above,
3. Would this type of password be considered a strong or weak password. Why?
167 443,200 password options
20:19:18.17.16. 10.
3
26-6=20
Subtract 1 each time for a
different letter option
# of digits that you
have to choose
from (0-91
Answers
what percent of your daily intake of sodium would you eat if you had 6 cookies
Answers
Step-by-step explanation:
about 7% (not exactly 7%, just about)
Answer:
About 7% sodium.
The rest is information you may find important later.
For homemade chocolate chip cookies.
18.72% (For the recommended calorie intake of a man, 2,500 a day)23.4% (For the recommended calorie intake of a woman, 2,000 a day)__________________________________________________________
Questions about percentage? Feel free to ask me in the comments box.
-ve Leo got 28 out of 35 questions correct on his last test. What is the decimal equivalent to the fraction of questions that Leo got correct on his last test.
Answers
Answer:
0.8
Step-by-step explanation:
28/35=number of questions Leo got right
28/35=0.8=number of questions Leo got right
Subtract 7/10 - 3/22 . Simplify the answer.
Answers
Answer: 31/55 = 0.56364
Step-by-step explanation:
STEP 1: Simplify 3/22
Equation at the end of step 1:
7/10 - 3/22
STEP 2: Simplify 7/10
Equation at the end of step 2:
7/10 - 3/22
STEP 3:Calculating the Least Common Multiple : 3.1 Find the Least Common Multiple The left denominator is : 10 The right denominator is : 22
If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot.
triangle EFG with side e across from angle E, side f across from angle F, and side g across from angle g
4 feet
5 feet
6 feet
7 feet
Answers
Answer:
6 feet
Step-by-step explanation:
C. 6 feet
Length of Side g is 6 feet
What is Trigonometric functions?
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given,
∠F = 49°
Length of side f = 7 feet
∠G = 40°
length of side g = ?
According Sine rule,
[tex]\frac{\sin E}{e}=\frac{\sin F}{f}=\frac{\sin G}{g}[/tex]
[tex]\frac{\sin 49}{7}=\frac{\sin 40}{g}[/tex]
[tex]{g}=7(\frac{\sin 40}{sin 49})[/tex]
g = 5.96 ≈ 6
Hence, length of side g is 6 feet.
Learn more about Trigonometric functions
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Eric bought 16 apples. Each apple weighed 0.33 pound.
Answers
Answer:
5.28
Step-by-step explanation:
i hope this is the right answer. have a good day !
Answer:
The weight is 5.28 pounds
Step-by-step explanation:
16*0.33=5.28