Answer:
50 inches
Step-by-step explanation:
30²+40² = c² (c²= diagnol)
900+ 1600 = √2500
√2500 = 50
This is also a pythagorean triple (30,40,50).
Drag the expressions into the boxes to correctly complete the table.
Polynomial Not a polynomial
Answer:
Polynomial
[tex]x^4 +3x^3 -5x^2 -7x +20\\\\x^3 -2x^2 +x -12\\\\x^2 + 3x^5 -6x +12x^3[/tex]
not a polynomial
[tex]4\sqrt[3]{x} -\sqrt{x} -20\\\\x^{-3}-x}^{-2}-6x^{-1}+8\\\\\frac{5}{x^3} -\frac{1}{x^2} +\frac{8}{x} -40\\\\[/tex]
A fair spinner has 10 equal sections: 3 red, 3 blue and 4 green. It is spun twice. What is the probability of getting not green then green?
Answer:
0.24
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.
Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green
= (3 + 3)/(3 + 3 + 4)
= 6/10
The probability of getting green
= 4/10
Hence the probability of getting not green then green
= 6/10 * 4/10
= 24/100
= 0.24
A jewelry designer sells bead necklaces in a local farmer's market. The profit P that she makes from selling x necklaces is given by P = −x2 + 35x. What is the least number of her necklaces she must sell to make a profit of $300.00?
Answer:
15
Step-by-step explanation:
Given that the profit equation from selling x necklaces is
P = −x2 + 35x.
To make a profit of $300, the profit P = 300 then
300 = -x2 + 35x
x2 - 35x + 300 = 0
solve by factorization
x2 - 15x - 20x + 300 = 0
x(x - 15) - 20(x - 15) = 0
(x - 15)(x - 20) = 0
x - 15 = 0 or x - 20 = 0
x = 15 or 20
Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15
i need help on this question please help
Answer:
The area of each figure is:
Area of the rectangle = 10 square units.Area of the triangle = 10 square units.Area of the figure = 20 square units.Step-by-step explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
Area of a rectangle = width * heightArea of a rectangle = 2 units * 5 unitsArea of a rectangle = 10 square unitsNow, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
Area of a triangle = (base * height) / 2Area of a triangle = (4 units * 5 units) / 2Area of a triangle = (20 square units / 2Area of a triangle = 10 square unitsAnd we obtain the area of the whole figure when we add the two areas:
Area of the figure = area of the triangle + area of the rectangleArea of the figure = 10 square units + 10 square unitsArea of the figure = 20 square units.As you can see, the area of the picture is 20 square units.
The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.
Answer:
62
Step-by-step explanation:
Khan Academy. I got this correct, so trust me :)
The measurement of the angle A for the considered triangle is found being of 62° approximately.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For the considered triangle, we can use sine rule.
In triangle ABC, we're given that:
|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:
[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]
But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°
Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.
Learn more about law of sines here:
https://brainly.com/question/17289163
MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.
Answer:
556.5 cm²
Step-by-step explanation:
Area of trapezium :
Area = 1/2 (a + b)h
a = base length 1
b = base length 2
h = height
From the information given :
Distance between MN and PQ = Height, h = 21 cm
Base MN, a = 28 cm
Base PQ, b = 25 cm
Hence,
Area = 1/2 (28 + 25) * 21
Area = 1/2 (53) * 21
Area = 556.5 cm²
x-10=4 what is the answer HELP!
Answer:
x = 14
Step-by-step explanation:
Add 10 to both sides.
x− 10 + 10 = 4 + 10
x=14
a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Because there are 4 parts in 4/4 and the if you have 4 of the four parts that is 16.
Trapezoid TRAP is shown on the grid below.
What is the length of the midsegment MN?
6
9
12
18
Answer:
18
Step-by-step explanation:
The volume of a box in the shape of a rectangular prism
is 30 cubic inches. The width of the box is 2 inches less
than the length. The height is 3 inches less than the length.
Find the length (in inches) of the box.
Answer: 12
Step-by-step explanation:
The Old-Fashioned but Newfangled Candy Company wants to mix some of its $5.50 per pound Tropical Taffy, with 100 pounds of its $6.25 per pound Passion Fruit Taffy to create a $6 per pound taffy called Tropical Passion. How many pounds of the $5.50 per pound Tropical Taffy should the company use?
Answer:
50
Step-by-step explanation:
x= the number of pounds of the tropical taffy that should be used
You need to take the value of the Tropical Taffy + the value of the Passion Fruit taffy to = the value of Tropical Passion
value- price per pound times the number of pounds
Your equation is going to look like this-->
5.50x+6.25(100)=6(x+100)
5.50x+625=6x+600
-5.50x -5.50x
625=0.5x+600
-600 -600
25=0.5x
50=x
Hope this helps!
Can I get sum more help?
Answer:
184.96
Step-by-step explanation:
V = (base × height) ÷ 3
base = pi × radius^2
2 × pi × radius = circumference
2×pi×r = 29.516
÷2 ÷2
pi×r = 14.758
÷3.14 ÷3.14
r=4.7
base= 3.14 × 4.7^2
= 69.36
V = (69.36 × 8) ÷ 3 = 184.96
assume f is a one to one function of f(x)= 4-6x find f^-1(-32)
Answer:
f^-1(-32)=6
Step-by-step explanation:
Find the inverse of the function f(x)=4-6x:
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
Plug in f^-1(-32) for f^-1(x) and simplify:
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6
The expression 4x/5 - 2x/3 is equivalent to
a. x/2
b. x/5
c. x/15
d. 2x/15
Answer:
answer is d
Step-by-step explanation:
hope it helps!!!
Ava buys a book for $8.58. She pays with a $10 bill. How much change will she get? (1) $2.28 (2) $4.66 (3) $1.42 (4) $3.52
Answer:
$1.42
Step-by-step explanation:
Ava buys a book for $8.58
She pays with a $10 bill
Hence her change would be
= 10-8.58
= 1.42
Ava change is $1.42
Factor the Expression Completely: -14a+56b+84c-28a+42
Answer:
14(−3a+4b+6c+3) is the answer
help me plzzzzzzzzzzzzzzzzzzzzz
Answer:
A and B
Step-by-step explanation:
96% of 25
= [tex]\frac{96}{100}[/tex] × 25 ( per cent means out of 100 ) → A
= 0.96 × 25 ( divide 96 by 100 ) → B
The theater sells two types of tickets: adult tickets for $7 and child tickets for $4. Last night, the theater sold a total of 76 tickets for a total of $469. How many adult tickets did the theater sell last night?
Answer:
55 tickets for adults
Step-by-step explanation:
Start by setting up two equations. One equation will be the total amount of money spent and the other is the total amount of tickets sold. a is the # of adult tickets and c is the # of children tickets sold.
7a+4c=469
a+c=76
Now solve for c in the second equation. Then use that to substitute for c in the first equation.
c=76-a
7a+4(76-a)=469
7a+ 304-4a =469
7a+4a=165
3a=165
a=165/3
a=55
Find the area please :)
Answer:
it's area is 1/2 b×h
1/2×7×3.8
13.3
Answer:
13.3 ft^2
Step-by-step explanation:
area = base x h / 2
A = 7 x 3.8 / 2
A = 26.6 / 2
A = 13.3 ft^2
PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry
Answer:
A) -10 + (-10)
Step-by-step explanation:
Hexagon
apothem = 15
side = 17.3
Find the area of this regular polygon. (Round to one decimal spot if necessary)
Answer:
778.5
Step-by-step explanation:
Area of any regular polygon = ( apothem * side length * number of sides ) divided by 2
Given information:
Apothem = 15
Side length = 17.3
Polygon Type = Hexagon ( its important to note that a hexagon has 6 sides )
* Plug in the given values into the formula *
Area = [tex]\frac{15*17.3*6}{2}[/tex]
15 * 17 = 259.5
259.5*6=1557
[tex]\frac{1557}{2} =778.5[/tex]
Hence, area = 778.5 square units
Answer:
778.5
Step-by-step explanation:
find the equation of the line with a slope of 3/4 and passes through (4-2)
Answer:
y = 3/4x - 5
Step-by-step explanation:
An equation of a line can be written in slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept.
Let's plug in what we know.
The slope is 3/4.
y = 3/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 3/4(4) + b
To find b, multiply the slope and the input of x(4)
-2 = 3 + b
Now, subtract 3 from both sides to isolate b.
-5 = b
Plug this into your standard equation.
y = 3/4x - 5
This is your equation. It has a slope of 3/4, and passes through (4, -2)
Hope this helps!
Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the
measure of angle ACB? Explain/show your reasoning.
Answer:
Here.
Step-by-step explanation:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Toni rents bowling shoes for $6. She bowls 2 games and spends a total of $22. Write and solve an algebraic equation to find the cost of each game.
Answer:
22=2x+6
Step-by-step explanation:
you subtract 6 from both sides
that leaves u with 16=2x
then divide 2 by 16 and that equals
8
so 8=x
each game costs $8
you put the 2 in front of the x in the beginning due to Toni playing 2 games while the shoes are a one time fee.
what's the best movie ever?
Answer: Most views mayber black panther
Step-by-step explanation:
Help! Tysm in advance :)
What is the surface area of the pyramid?
Answer:
56 inches squared
Step-by-step explanation:
(4x6) ÷ 2 = 12
12 x 4 = 48
4 x 4 = 16
48 + 16 = 56
Can someone help me out my grads are bad
Answer:
The modes are 0 and 2. There are two because there are the same number of numbers. (four 0s and four 2s)
The scale shown is not balanced.
Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
HELP PLEASEEEEE
Answer:
1 (100block)
5 (10block)
3 (1block)
Step-by-step explanation:
221-68=153
1x100=100
5x10=50
3x1=3
The amount that x = 53 needs to be to balance the scale.
What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
x = 153
In 153,
1 is in place of hundred 100, 5 is in the place of 10 so, 50.
Therefore, x = 53 is the amount that needs to be to balance the scale.
To learn more about the equation;
https://brainly.com/question/12788590
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X
Pema's bedroom is 18 feet long and 14 feet wide. She drew the plan below to
divide the room into sections. Which shows how to find the area of the Study
Corner?
1) 7 ft + 4 ft = 11 sq ft
11 ft
7 ft
10 ft + 7 ft = 17 sq ft
10 ft
Bed
Study
Corner
1) 10 ft x 7 ft
70 S
sq ft
4 ft Play Area Closet
1) 4 ft x 7 ft = 28 sq ft
70ft is the answer I think