Answer:
19.0 cm
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=19^2
1+b^2=361
(subtract one from both sides)
b^2=360
(now square root to get rid of the ^2)
[tex]\sqrt{b^2}[/tex]=[tex]\sqrt{360}[/tex]
b=18.97 rounded to the tenths place is 19.0
Answer:
The length of the other leg is 19 cm (rounded to the nearest tenth).
Step-by-step explanation:
In order to solve this, we need to know the Pythagoras theorem which states that...
[tex]c^{2} = a^{2} +b^{2}[/tex] (Where c is the length of the hypotenuse and a and b are the lengths of the legs)
Now just substitute the values to find the length of the other leg, and we get...
[tex]c^{2} = a^{2} +b^{2}\\19^{2} = 1^{2} + b^{2} \\b^{2} = 19^{2} - 1^{2} \\b^{2} = 361 - 1\\b^{2} = 360\\b = \sqrt{360} \\[/tex]
b ≅ 19
Therefore the length of the other leg is around 19 cm.
What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?
Given:
The polynomials are:
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
The sum of given polynomials is:
[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]
[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]
Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.
60 children were asked to chose their favourite vegetable from 5 options. Work out the number of children who chose each vegetable .
Answer:
carrots and cauliflower: 6
peas: 12
cabbage, sweetcorn: 18
Step-by-step explanation:
10 percent is 1/10, which is 6/60. Multiplied by two it's 12/60. Multiplied by 3 is 18/60.
from edgunuity please help asap! image attached above
From the equation, find the axis of symmetry of the parabola.
f (x) = x squared minus 14 x + 49
a.
x = 7
c.
x = 6
b.
x = negative 7
d.
x = negative 6
Answer:
B. x=negative 7
Step-by-step explanation:
sana nakatulong :-)
When rolling a number cube, what is the probability of rolling a 2 or an even number. Express your answer as a fraction in lowest terms
Answer:
https://www.sketchywebsite.net/
Step-by-step explanation:
Find m
160
260
50
80
A triangle has two 12centimeter sides
. What are the possible lengths of third side?
Answer:
Step-by-step explanation:
if the two sides are 12, the third will have to be shorter so it could be:
( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )
good luck!can you choose me brainliest? :D
Someone help and plz make sure it’s right will mark brainiest if it is :)
Answer:
45°
Step-by-step explanation:
sinθ = 24/34
take the inverse sine of 24/34:
[tex]sin^{-1}(24/34)[/tex] = 44.9° ≈ 45°
I rlly need help with this
You need to give more info so like show more of the question
Find m<1, m<2, and m<3
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
In the year 1900, the total number of metric tons of copper purchased in the world was 495,000. Each year since 1990,
the total number of metric tons of copper production has increased on average by 3.25%. Which function models the
total number of metric tons produced, y, for x years since 1990?
А
c(2) = 495.000,20.9675
cc() = 495, 000(1.0325)*
B.
C(2) = 495,000...1.0325
D
c(2) = 495,000(0.9675)
Step-by-step explanation:
Here is the answer to your question.
Please help asap I need this
Answer:
y= x+4
y=–4–2x
Step-by-step explanation:
using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)
Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?
Answer:
1%
Step-by-step explanation:
.
When rounding to the nearest hundred thousand, the weight of a blue whale was rounded to 500,000 pounds. What is the least the blue whale could actually weigh?
Answer:
450,000 pounds
Step-by-step explanation:
to round off to the nearest hundred thousand, look at thousand figure - If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
to be rounded off to 500,000, it means that the thousand figure has to be between 50,000 - 99,000
the least figure would thus be 450,000
In the diagram below, BC = QR = x, AC = PR = y, and triangle PQR is a right
triangle. Use the drop-down menus to complete the proof that if the equation
22 + y2 = z2 is true of the side lengths in triangle ABC, then triangle ABC must be a right
triangle.
P
y у
y
B
R
х
Q
x2 + y2 = 22
Triangle PQR is a right triangle
Click the arrows to cho
from each menu.
Triangle PQR is given to be a right triangle, so the Pythagorean theorem can be used to
Applying the Pythagorean theorem, we have ΔPQR ≅ ΔABC. then we would have: ∠ACB = ∠PRQ = 90°
What is the Pythagroean Theorem?The pythagorean theorem states that the square of the longest side (hypotenuse) of a right triangle is always equal to the sum of the squares of the other two sides (legs) of the right triangle.
Since we know that ΔPQR is a right triangle, then:
x² + y² = PQ²
We are also given that x² + y² = z², so by substitution, we have:
z² = PQ², which makes both triangles have corresponding congruent sides. Therefore, ΔPQR ≅ ΔABC.
Using the corresponding parts of the congruent triangles, we can conclude that: ∠ACB = ∠PRQ = 90°.
Learn more about the Pythagorean theorem on:
https://brainly.com/question/343682
#SPJ2
HELP ASAP
What is the 10th term in the geometric sequence below?
−4, 12, −36, 108, ...
a)-236196
b)-78732
c)236196
d) 78732
Answer:
78732
Step-by-step explanation:
surface area of a rectangular prism with length 11 meters, width 5 meters, and height 14 meters
Answer:
Step-by-step explanation:11
Is a trapezoid always a square?
Answer:
No
Step-by-step explanation:
A trapezoid is never a square. A trapezoid only has one pair of parallel lines and a square has two.
Question below...15 points.
Answer: i think its c
Step-by-step explanation:
but im not totally sure
Answer:
B. s = 9 inches
Step-by-step explanation:
We are given a square with a perimeter of 36 inches, along with a key that the perimeter is given through the equation P = 4s, where "s" stands for the length of one side. We are then asked to find which number s is.
Perimeter is when you add 4 sides altogether, in our case we have 36 inches as our perimeter. Since 4s is the main factor as to how we got 36 inches, we need to set up one system equation.
P = 4s
36 = 4s
Now we need to find a number that multiplies with 4 to get us 36, simple as that. Let's get s alone to retrieve our answer :
36 = 4s
Divide 4 from both sides :
9 = s
s = 9
9/2 - 23/9=? plss help
Answer:
35/ 18
(Decimal: 1.944444)
Step-by-step explanation:
Answer
Step-by-step explanation:35/18
20% of ______ is 120
Answer:600
Step-by-step explanation:
Answer:
20
___ x X = 120
100
x100 x 100
20x = 120
divide by 20 on both sides.
x = 6
I WILL MARK BRAINLIEST! A parabola opening up or down has vertex (0,3) and passes through (4,7). Write its equation in vertex form.
Ok...so we have this........
y = ax2 + 4 ....... and we need to find "a"
So we have
-1 = a(-10)2 + 4
-5 = a (100)
(-1/20) = a ....... So we have ..........
y = (-1/20)(x- 0)2 + 4 or just (-1/20)x2 + 4
Note that this parabola opens downward...That makes sense since the vertex is above the x axis and the parabola passes through a point below the x axis.
Hope This Helped!
I couldn't copy paste the equation on here, so i attached it in pictures.
What is tip would you give to your waiter if your bill was $56.50 and the tip is 20% of the bill
$11.30
Step-by-step explanation:
First, convert the 20% to an actual number that can be used in a calculation.
For percents, this is always done by simply dividing the percent (in this case 20%) by 100%.
So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.
Second, you need to find out what 20% of your $56.50 meal cost is. This is always done by multiplying 0.20 by $56.50, or
0.20 x $56.50 = $11.30
So, the amount of tip you are going to leave is $11.30.
This makes the total cost of your meal (to write on your charge slip or other payment)
$56.50 + $11.30 = $67.80.
Given the figure below, find the values of x and z.
Answer:
x = 9
z = 71
Hope this helps!
Three paintings are shaped like an 8-foot square a 7-foot by 4-foot rectangle and a triangle with 6-foot base and height of 7 feet. If those paintings are hung together on the outside of the building how much of the building s wall they cover together ?
Answer:
113 square feet
Step-by-step explanation:
the total area covered can be determined by adding the area of the rectangle, triangle and square together
Area of a square = length² = 8² = 64 ft²
Area of a rectangle = length x width = 7 x 4 = 28 ft²
Area of a triangle = 1/2 x base x height = 1/2 x 6 x 7 = 21 ft²
64 + 28 + 21 = 113 ft²
Can you guys help me find the area of this shape. I've literally tried everything and got it wrong.
Answer:
110 square centimeters.
Step-by-step explanation:
The area for a trapezoid can be figured out with the equation (a + b)h/2.
(9 * 5) + (9 + 4)10/2 {Work inside the parentheses first.}
45 + (13)10/2 {Divide 10 by 2 to get 5.}
45 + 13(5) {Multiply 13 by 5 to get 65.}
45 + 65 {Add 45 & 65 to get 110.}
110 square centimeters.
The area of the figure is 110 square centimeters.
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
2,827.43
Step-by-step explanation:
Identify the variable expression that is not a polynomial.
O A. 3 - 2
O B. 13
O C. y + 23
O D. x3
Answer:
the correct answer is d. x^3
Helpppp asapppp I’ll give you a lot of points
Answer:
[tex]x = \frac{5a-2} {7+5a}\\[/tex]
Step-by-step explanation:
Given the expressions
[tex]x = \frac{5}{9y+5}....1\\y = \frac{5}{5a-2} ...2[/tex]
Substitute 2 into 1
[tex]x = \frac{5}{9(\frac{5}{5a-2} )+5} \\x = \frac{5}{(\frac{45}{5a-2} )+5} \\x = \frac{5}{\frac{45+5(5a-2)}{5a-2} } \\x= \frac{5}{\frac{35+25a}{5a-2} }\\x = \frac{5(5a-2)} {35+25a}\\x = \frac{5(5a-2)} {5(7+5a})\\\\x = \frac{5a-2} {7+5a}\\[/tex]
Can somebody help me??