[tex]3.27*10^{5}=327000[/tex]
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
In degrees, what is the measure of
Answer:
m<PFR=62
m<RFT=28
m<MFE=28
m<EFT=152
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
90=x+6+3x-4
90=4x+2
-2 -2
88=4x
/4 /4
x=22
3(22)-4=66-4=62
22+6=28
180-28=152
Done<
In the diagram below, AB BC, and mZBCD = 115°. Find mZB.
Statement
B.
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−i.
Answer:
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
Step-by-step explanation:
Given
[tex]p =1[/tex] -- Leading coefficient
[tex]Zeros: 4\ and\ 3 - i[/tex]
Required
Determine the polynomial
Represent the zeros with a and b
Such that
[tex]a = 4[/tex]
[tex]b = 3 - i[/tex]
The polynomial is:
[tex]P(x) = p * (x - a) * (x - b)[/tex]
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))[/tex]
However, to solve further: We need to symmetrise over 3-i and its conjugate
[tex]P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))[/tex]
[tex]P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\[/tex]
To define a suitable function, the expression becomes
[tex]P(x) = (x - 4) * ((x - 3)^2+1)[/tex]
[tex]P(x) = (x - 4) * ((x - 3)(x - 3)+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x + 9+1)[/tex]
[tex]P(x) = (x - 4) * (x^2 - 6x +10)[/tex]
Open bracket
[tex]P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40[/tex]
[tex]P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40[/tex]
[tex]P(x) = x^3 - 10x^2+ 34x-40[/tex]
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
What percent is 72 out of 120?
What is the value of x
b is your correct answer hope help you
Question #8 help me plz
Answer:
UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION
Step-by-step explanation:
Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
17 in three tests, find Sandra's score in the fourth test.
Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
Solve the equation. You may find using algebra tiles to be helpful.
2x + 7 = 13
x =
Answer:
x= 3
Step-by-step explanation:
Move all the terms that do not contain x to the right side and solve.
Hope this helped!
⭐ Please consider giving Brainliest if this answer helped you ⭐
A pair of sneakers that originally cost
$95 went on sale for 40% off. What's
the new price?
Answer:
57 dollars
Step-by-step explanation:
95-40%
95 - 38 = 57 dollars.
Find the value of x. Round to the nearest 10th. Plzzz help!!!
Answer:
x = 7.15
Step-by-step explanation:
Taking 33 as the reference angle,
hypotenuse = x
base = 6
Cos 33 = base/hypotenuse
Cos 33 = 6 / x
x = 6/ cos 33
x = 7.15
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
.
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..
also this one: Which of the following represents a Pythagorean Triple?
Group of answer choices
{21, 72, 75}
{11, 45, 60}
{5, 7, 10}
{10, 20, 30}
Answer:
I think the answer is {10,20,30} but please check it
Answer:
I only know the first one for right now and the answer is 17
Step-by-step explanation:
You got to find the value of x in the figure
To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2
x^2=64+225
x^2=289
Then it's x= 289 like this
[tex] \sqrt{289} [/tex]
Which gives you the answer 17
Let me know if this helps
meter in length. What
The fairy fly is one of the world's smallest insects. It may measure no more than 1.39 x 10
the total length of 2 of these insects, placed end to end?
A 2.78 x 10-8 meter
B. 2.78 x 10
-4
aft
meter
C. 1.39 x 10
-8
meter
D. 1.39 x 10
0--2
meter
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
Use the simple interest formula to find the interest earned and the ending balance. I = Prt (please show work)
1. $9,000 at 4% for 2 years
Answer:
720
Step-by-step explanation:
I = Prt
I = (9000)(0.04)(2)
I = 720
PLEASE HELP
What do the ratios 15:5 and 15:22 represent?
15:5 compares losses to wins and 15:22 compares games to wins.
15:5 compares wins to losses and 15:22 compares wins to games.
15:5 compares wins to losses and 15:22 compares wins to ties.
15:5 compares wins to ties and 15:22 compares wins to games.
15 : 5 = 15 : 5
15 : 5 = 1 : 0.33333333333333
= 3 : 1
= 3 : 1
15
15 + 5
= 75%
Answer:
B
Step-by-step explanation:
15:5 compares wins to losses and 15:22 compares wins to games.
Graph y ≤ (x + 2)^2.
Click on the graph until the correct graph appears.
Answer:
the first one is the correct one
Step-by-step explanation:
a great way to check this is to use demos .com
Answer:
its the first one
Step-by-step explanation:
our vertex is (-2,0)
so replace it in the equation y ≤ (x + 2)^2
so, 0 ≤ (-2 + 2)^2
= 0 ≤ (-4)^2
= 0 ≤ 16
look at that statement, is 0 less than or equal to 16? Yes. Therefore it is correct, so you shade out side of the parabola.
TIP: If the parabola opens up and:
y <, then shade outside.
y >, then shade inside.
Do the opposite if the parabola opens down.
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
Solve for y. 2(3y-7)=16
Answer:
y=5
Step-by-step explanation:
First, distribute the 2 to the 3y and -7
6y - 14 = 16
Second, add 14 to both sides.
6y = 30
Third, divide both sides by 6
y = 5
As you can see y equals 5!
I hope the explanation helped and have a great day!
Answer:
y = 5
Step-by-step explanation:
2(3y - 7) = 16
distributive property:
2(3y - 7) = 16
6y - 14 = 16
add 14 on both sides
6y - 14 + 14 = 16 + 14
6y = 30
divide both sides by 6 :
[tex]\frac{6y}{6} = \frac{30}{6}[/tex]
y = 5
to check, subtitute 5 for y
2 (3(5) - 7) = 16
2(18 - 7) = 16
30 - 14 = 16
16 = 16
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
Gretchen is setting up for a banquet. She had 300 chairs and needs to distribute them evenly among t tables. (in algebra)
Answer:
The expression is 300/t, , or 300 divided by t
Step-by-step explanation:
2. You went out to eat with 3 friends and your meal cost $82.50. How much was the bill if
6.75% sales tax was included?
How much would you tip the waiter, if you wanted to leave a 20% tip?
Answer:
17.61
Step-by-step explanation:
82.50 x 0.0675 = 5.57
82.50 + 5.57 = 88.07
88.07 x 0.20 = 17 61
hope this helps
Simplify 3^2 ⋅ 3^5.
3^7
3^10
9^7
9^10
Answer: 135, 21, 30, 63, 90
Step-by-step explanation:
If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
PRICE LIST
carrots: 50p per kg
potatoes: 64 per kg
onions: 42p per kg
Chicken: £6 per kg
She pays with a £20 note.
Work out the change that Mehvish should get.
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
Which of the following is a sinusoid?
O A. y = x
OB. x2 + y2 = 1
O C. y = cos x
O D. y=[x]
The function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
What is sinusoid?A sine wave or a sinusoidal wave is graph representing the sine function.It has a maximum value of 1 and minimum of -1. It is a periodic function.The sine function is given by {y} = sin{x}.Given is to identify which of the given functions are sinusoids.
Now, we can see that -
y = x : represents a straight line.
x² + y² = 1 : represents a circle with unit radius.
y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
Therefore, the function y = cos(x) : represents a sinusoid. It has a maximum value of 1 and minimum of -1.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Which is a diagonal through the interior of the cube?
Natalia buys a stamp priced at $51.00. The sales tax rate is 4.2%.
What is the tax amount to the nearest cent?
please answer this :,)
Answer:
$53.14
Step-by-step explanation:
$51.00+4.2%
53.14200
round:53.14