Answer:
The area of a triangle is 14 cm square.
Step-by-step explanation:
Given : The expression gives the area of a triangle where b is the base of the triangle and h is the height of the triangle.
To find : What is the area of a triangle with a base of 7 cm and a height of 4 cm?
Solution :
The area of triangle is
Where,b is the base b=7 cm
and h is the height h=4 cm.
Substitute in the expression,
Therefore, The area of a triangle is 14 cm square.
A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many square inches of paper are needed?
The total surface area of the triangular prism that has a height of h and the side length of a is given below.
[tex]\rm a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
What is a triangular prism?A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A box is in the shape of an equilateral triangular prism.
If the box is to be covered with paper on its lateral sides.
Let a be the side length of the equilateral triangle and h be the height of the prism.
Then the surface area of the triangular prism will be
Surface area = 2 × area of triangle + 3 × area of the rectangle
The area of the triangle will be
[tex]\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}[/tex]
The area of the rectangle will be
[tex]\rm Area \ of \ rectangle = a \ h[/tex]
Then the total surface area will be
[tex]\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)[/tex]
More about the triangular prism link is given below.
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Answer:
72 square inches
Step-by-step explanation:
a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.
Answer:
7.74 yd²
Step-by-step explanation:
Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²Answer:
7.74 yd²
Step-by-step explanation:
The shaded area can be calculated by subtracting the area of the circle from the area of the square.
Given:
side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14Area of the square = side length × side length
= 6 × 6
= 36 yd²
Area of the circle = πr²
= 3.14 × 3²
= 28.26 yd²
Shaded area = area of square - area of circle
= 36 - 28.26
= 7.74 yd²
HURRY ASAP WILL GIVE BRAINLY
The box plots show the number of days spent at a national park by two different groups of visitors.
Two box plots are shown together. The title is Time Spent at Park. The number line goes from zero to five by a scale of one half. For Group A, the whiskers range from one half day to five days, and the box ranges from two days to three and one half days. A line divides the box at three days. For Group B, the whiskers range from one day to four and one half days, and the box ranges from two days to four days. A line divides the box at three and one half days.
Select all the statements that are supported by the random samples.
About 75% of visitors in Group A spent 3.5 days or more at a national park.
About , 75 %, of visitors in Group A spent , 3.5, days or more at a national park.
About 50% of visitors in Group B spent 3.5 days or less at a national park.
About , 50 %, of visitors in Group B spent , 3.5, days or less at a national park.
About 25% of both Groups A and B spent 2 days or less at a national park.
About , 25 %, of both Groups A and B spent , 2, days or less at a national park.
Group A had greater variability in the number of days spent at a national park.
Group A had greater variability in the number of days spent at a national park.
Group B had a greater median and a greater spread in the number of days spent at a national park.
The answer is B i took the quiz
At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using
the scale 100 meters: 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Answer:
Scale: 100 meters per 1 meter
Actual: 316 per unknown meters(our scale)
So order our units:-
Scale 1 x_______ _______ = _______, solve for x;
Meters 100 3161/100 = x/316
*316 *316
3.16 = x, 3.16 rounded = 3.20 is the scale.
What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?
Answer:
x³ + 9x² + 16x - 6
Step-by-step explanation:
First, you have to multiply x + 3 with x² + 6x - 2.
(x + 3)(x² + 6x - 2)
You will get:
x · x² = x³
x · 6x = 6x²
x · -2 = -2x
3 · x² = 3x²
3 · 6x = 18x
3 · -2 = -6
When you combine these, you get:
x³ + 6x² - 2x + 3x² + 18x - 6
Add them up to get your answer,
x³ + 9x² + 16x - 6.
Hope this helps!
A cube has a side length of 5 inches. What is the surface area, in square inches of the cube?
Answer:
A=6a2=6·52=150in²
Step-by-step explanation:
What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d
Answer:
c
Step-by-step explanation:
a line of credit with a fixed total amount.
The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
What is a line of credit?On the bases of the requirement, a person or firm takes the open or closed line of credit.
Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
Learn more about the closed line of credit here;
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What is the area of H?
How many pieces of wood will be brought to complete the project?
Answer:
250
Step-by-step explanation:
Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5
Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?
Answer:
It should be $538 left after the bills
What is one way to put your PowerPoint Online presentation in full screen mode for your audience?
Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show
Answer:
The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.
Step-by-step explanation:
Answer:
Reading View
Step-by-step explanation:
First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.
Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Given this regular pentagon and the side measurement of 6, find
the length of the apothem. round your answer to the nearest
hundredths.
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
What is apothem?
Apothemis a line segment from the center to the midpoint of one of the sides of a regular polygon .
The length of apothem (a) is given by:
[tex]a=\frac{s}{2*tan(\frac{180}{n} )} \\\\Where\ n\ is\ number\ of\ sides\ and\ s=side\ length\\\\Given:\\n=5,s=6, hence:\\\\a=\frac{6}{2*tan(\frac{180}{5} )}=4.13[/tex]
The length of apothem for a regular pentagon and the sidemeasurement of 6 is 4.13 unit
Find out more on apothem at: https://brainly.com/question/369332
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
Answer: $804
Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.
Someone help me with this pls
Answer:
MAYBE
Step-by-step explanation:
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
SOORY
The price of the stereo system
decreased from $210 to $126.
What was the percent of decrease?
Answer:
40%
Step-by-step explanation:
The amount of decrease is $84, so now all you need to do is convert 84/210 into a percentage. Divide both sides by 2.1 so the denominator is 100 (percent is a ratio with a denominator of 100) and the answer will be 40/100, which is 40%.
Tanner made his father a quilt. The width is 6 5 /7 meters by 7 3/ 5 meters what is the area of the quilt?
Answer:
51.0285714…
Step-by-step explanation:
you just multiply them together.
Answer:
Step-by-step explanation:
→ Multiply the 2 lengths together
[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]
→ Convert both to improper
[tex]\frac{47}{7} *\frac{38}{5}[/tex]
→ Multiply
[tex]\frac{1786}{35}[/tex]
→ Convert to mixed fraction
[tex]51\frac{1}{35}[/tex]
Explain how many solutions this system of equations has.
Answer:
No solution
Step-by-step explanation:
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {y = 3x - 4}} \right. \\\\[/tex]
Multiply the second equation by 2 to make the "x" coordinates the same.
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2(y = 3x - 4)}} \right. \\\\[/tex]
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2y = 6x - 8}} \right. \\\\[/tex]
Subtract 6x from the first equation with the second equation
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {-2y = -6x + 8}} \right. \\\\[/tex]
[tex]\rightarrow 0y = 0x + 12[/tex]
Simplify the R.H.S
[tex]\rightarrow 0 \neq 12[/tex]
This system of equation has no solution.
Graph:write these polynomials in standard form
1). 5x^2- 15+7
2.) 4 + 8n- 3n^4＋ 10n2
Answer:
1. [tex]5x^{2} - 8[/tex]
2. [tex]NaN-16[/tex]
Step-by-step explanation:
Help please thank you
Answer:
[tex] = 2 \times 4 = 8 \\ = 5 \times 5 = 25 \ \\ \frac{1}{2} \times 5 \times 3 = 7.5 \\ 7.5 + 8 + 2.5 = 18[/tex]
Help me do this question :)
Answer:
[tex]y = \frac{1}{8}x -7[/tex]
Step-by-step explanation:
Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]Find the slope using (8, -6) and (-8, -8):
[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]
[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]
Now, we use either of our points (8, -6) OR (-8, -8) to find b.
I will be using (8, -6):
[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]
[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]
Check your answer manually: (-8, -8)
[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
1/8 is the smallest possible whole number length for the third side
Find a general formula for the nth term of the geometric series with
Answer:I think it would be the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please Help! will Give Brainlest!
Answer:
tan ¤ = opp/adj
tan ¤ = 20/50
since opposite of the angle is 20, height of the tree is 20 feet.
Ans : D
Answer:
height : 20distance : 50Explanation:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
[tex]\hookrightarrow \sf tan(x)= \dfrac{20}{50}[/tex]
using the equation, we can identify that ↓opposite ( the height of the tree ) is 20adjacent ( the distance ) is 50Find the solution of the system of equations.
x+2y=9
-6x+4y=-46
Answer:
x=-3.5 and y=6.25
Step-by-step explanation:
x+2y=9
x=9-2y
-6(9-2y)+4y=46
-54+12y+4y=46
16y-54=46
16y = 100
y = 100/16 = 50/8 = 25/4 = 6.25
x+2(6.25)=9
x+12.5=9
x= -3.5
Find the value of x.
Answer:
38
Step-by-step explanation: subtraction:
Input interpretation: x: 105-67=
Ratio in lowest terms: 38
Division:
105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
By the above theorem, the equation is written as,
x + 67 = 107
Simplify the equation, then we have
x + 67 = 105
x = 105 - 67
x = 38°
The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.
More about the triangle link is given below.
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pls help ! MAPPING SHAPES
A) only sequence a
b) only sequence b
c)both
d) neither
Jake is saving for a new tablet. It costs $250, and he has $100. He earns $5 per week for doing chores. Jake wants to figure out how many weeks it will take for him to have at least enough money to buy a new tablet. Write an inequality and solve it to determine the number of weeks it will take.
Answer: 250 ≤ 100+5x
150≤5x divide by 5
30≤x
It will take 30 weeks to earn enough.
Step-by-step explanation:
Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?
Answer:
[tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex]
Step-by-step explanation:
First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is [tex]7+\frac{2x-11}{x^2-6x+9}[/tex].
Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, [tex](x-3)^{2}[/tex].
Finally, we have all of our necessary information to set up all of our partial fractions.
This gives us [tex]A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }[/tex], which is our answer.
Write an equation of the line that passes through (0, 0) and (2, 6).
Answer:
y=3x
Step-by-step explanation:
hello :
an equation is : y=ax ( the line that passes through (0, 0) )
and (2, 6): x= 2 y=6 qo : 6 = a ×2 a =3
an equation of the line that passes through (0, 0) and (2, 6) is : y=3x
The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
What is the equation of a line?The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,
y = mx + b, where m is the slope and b the y-intercept.
What is the two-point formula?The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.
The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).
How do we solve the given question?We have been given two points on the required line, (0, 0) and (2, 6)
We take the points as (x₁, y₁), and (x₂, y₂) respectively.
∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.
Since it's an equation of a line, we use the two-point method to determine the equation.
The two-point formula is:
y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
Substituting the values we have, we get:
y - 0 = ((6-0)/(2-0))*(x-0)
or, y = 3x.
∴ The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
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