Answers
Answer: x=10
Step-by-step explanation:
We can use the pythagorean theorem here: a^2 + b^2 = c^2, where c is the hypotenuse.
The values for c and one of the legs are already given, so we can plug them into the equation to find the length of the other leg x:
(square root of 200)^2 + x^2 = (square root of 300)^2
200 + x^2 = 300
x^2 = 100
x = 10
Answer:
Step-by-step explanation
square root 300 square - square root 200 square = x square
300 - 200 = x square
100 = x square
square root 100 = x
10= x
Related Questions
Find the area of the shaded region
Answers
Answer:
[tex] \mathsf{ {5x}^{2} + 28x + 21}[/tex]
Option A is the right option.
Step-by-step explanation:
Let's find the area of large rectangle:
[tex] \mathsf{(3x + 6)(2x + 4)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = 3x(2x + 4) + 6(2x + 4)}[/tex]
Calculate the product
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 6 \times 4}[/tex]
Multiply the numbers
[tex] \mathsf{ = 6 {x}^{2} + 12x + 12x + 24}[/tex]
Collect like terms
[tex] \mathsf{ = {6x}^{2} + 24x + 24}[/tex]
Let's find the area of small rectangle
[tex] \mathsf{(x - 3)(x - 1)}[/tex]
Multiply each term in the first parentheses by each term in the second parentheses
[tex] \mathsf{ = x( x - 1) - 3(x - 1)}[/tex]
Calculate the product
[tex] \mathsf{ = {x}^{2} - x - 3x - 3 \times ( - 1)}[/tex]
Multiply the numbers
[tex] \mathsf{ = {x}^{2} - x - 3x + 3}[/tex]
Collect like terms
[tex] \mathsf{ = {x}^{2} - 4x + 3}[/tex]
Now, let's find the area of shaded region:
Area of large rectangle - Area of smaller rectangle
[tex] \mathsf{6 {x}^{2} + 24x + 24 - ( {x}^{2} - 4x + 3)}[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
[tex] \mathsf{ = {6x}^{2} + 24x + 24 - {x}^{2} + 4x - 3}[/tex]
Collect like terms
[tex] \mathsf{ = {5x}^{2} + 28x + 21}[/tex]
Hope I helped!
Best regards!
Cece works at a dress shop and needs to calculate the discounts for dresses on sale using the formula d=(p−c)÷2, where d is the discount, p is the original price, and c is the store's cost for the dress. If the store's cost for a dress is $50 and the original price of the dress is $120, what is the discount on the dress?
Answers
Answer:
$35
Step-by-step explanation:
Using the formula provided, d=(p−c)÷2 (where d is the discount, p is the original price, and c is the store's cost for the dress.) we can determine the discount.
The original price is 120,
d=(120−c)÷2
The store's cost is 50,
d=(120−50)÷2
So we subtract 120 and 50 to get
d=(70)÷2
70 divide by two is
d= 35
The discount is $35
Two numbers are 10 units away in different directions
from their midpoint, m, on a number line. The product of
the numbers is -99.
Which equation can be used to find m, the midpoint of
the two numbers?
(m - 5)(m + 5) = 99
0 (m - 10)(m + 10) = 99
Om2 - 25 = -99
om? - 100 = -99
Will give brainliest
Answers
Answer:
m² - 100 = -99
Step-by-step explanation:
Two numbers are 10 units away from the midpoint m in different directions.
So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.
(m + 10) ( m-10) = -99
m² - 10² = -99
m² - 100 = -99
If one plane is flying at 40mph. While another is flying at 100mph. They are 200 miles apart, how long will it take them to collide if they are going in the same direction
Answers
Answer:
1 and 3/7 hour
Step-by-step explanation:
Every hour they get 140 miles closer (100 + 40). So you divide 200 by 140 which gets you 1.42... or 1 and 3/7 of an hour.
Suppose we have four integers, no two of which are congruent $\pmod 6$. Let $N$ be the product of the four integers. If $N$ is not a multiple of $6$, then what is the remainder of $N$ when $N$ is divided by $6$?
Answers
Answer:
4
Step-by-step explanation:
Given:
A, B, C, D have distinct positive values for mod 6
A (mod 6) = 1
B (mod 6) = 2
C (mod 6) = 4
D (mod 6) = 5
Each mod 6 value cannot be a zero since the product ABCD is not a multiple of 6.
Furthermore, in order that ABCD mod 6 > 0, we cannot have a residue equal to 3, else the product with a residue 2 or 4 will make the product a multiple of 6.
Thus the only positive residues can only be 1,2,4,5
A*B*C*D (mod 6) > 0 = 1*2*4*5 (mod 6) = 4
find the slope of this line.
Answers
Answer:
slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 3) ← 2 points on the line
m = [tex]\frac{3-2}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
Slope=1/3
Step-by-step explanation:
we kown,
m=y2-y1/x2-x1
then you should take two point where line should be passing through these two pionts.
In graph you can see that (0,2) and(-3,1) are passing points of the line.
Here, x1=0
x2= -3
y1=2
y2=1
Now,
m= 1-2/ -3-0
= -1/ -3
=1/3
So, The slope of the line is 1/3.
I hope this will be helpful for you.
would someone please help me thank you very much * no fake answer *
Answers
Answer:
a = 1500
b = 0.97
Step-by-step explanation:
The equation we are modeling is ;
F(x) = ab^x
Now we have two parameters to fix.
These are the density and the annual percentage increase
We can substitute the value of 1500 for a and also make a corresponding substitution for b.
Now for b, the value to substitute is quite dicey.
3% = 3/100 = 0.03
To make any substitution, we need to subtract this value from 1 and that would be 0.97
So it is this 0.97 that we now raise x to for each of the number of years
What is the vertex on the graph of the absolute-value parent function?
Answers
Answer:
The highest or the lowest point on the graph is the vertex of an absolute-value function!
Step-by-step explanation:
Find the value of x.
Answers
x = 64°
Step-by-step Explanation
x = 1/2[(360° - 2*58°)-2*58°]
x = 1/2[(360° - 2*58°) - 2*58°]
x = 1/2[(360° - 116°) - 116°]
x = 1/2[244° - 116°]
x = 1/2[128°]
x = 64°
Which equation is represented by the intersection of the graphs below? a. cosx=-1 b.secx=-1 c. cscx=-1 d.tanx=-1
Answers
Answer:
Option D.
Step-by-step explanation:
From the given it is clear that the horizontal line intersect the y-axis at -1. So, the equation of horizontal line is y=-1.
The curves represent the graph of [tex]y=\tan x[/tex].
We need to find the equation which is represented by the intersection of the graphs.
We have two equations one is for curve and another for horizontal line.
[tex]y=\tan x[/tex]
[tex]y=-1[/tex]
Equate both equations to get the equation which is represented by the intersection of the graphs.
[tex]\tan x =-1[/tex]
Therefore, the correct option is D.
Question 1
52 + 2 × (9) + 6 =
Answers
Brackets
Equations
Division
Multiplication
Subtraction
That’s order and it equals to 76
Answer:
76Step-by-step explanation:
Use BODMAS rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, let's Solve,
[tex]52 + 2 \times (9) + 6[/tex]
First, we have to multiply the numbers:
[tex] = 52 + 18 + 6[/tex]
Add the numbers:
[tex] = 76[/tex]
Hope this helps...
Good luck on your assignment...
the dimensions of a block of stamps are 30 cm wide by 20 cm high. the same number of stamps could also have been arranged in a block 24 cm wide. How high would this second block be?
Answers
Answer:The hight of such a stamp block would have to be 26 cm high by 24 cm wide
Step-by-step explanation: The way that i got my answer was by using this equation A+B=C
1.) 30cm+20cm=50cm
2.) 24cm+x=50cm
3.)50cm-24cm=x
4.)26cm=x
Which transformation does not preserve orientation? A. rotation B. reflection across the y-axis C. dilation D. translation
Answers
A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit a shirt and a pair of shoes?
Answers
Because 3*4*5=60
Answer:
60
Step-by-step explanation:
We want to find the number of ways to wear a suit, shirt, and pair of shoes.
Therefore, we can use the fundamental counting principal, which is: If there is x ways to do one thing, y ways to do another and z ways for another, then there are x * y * z ways to do all things.
Therefore, we must multiply the suits, shirts and shoes.
suits * shirts * shoes
The man has 3 different suits, 4 different shirts and 5 different pairs of shoes.
3 * 4 * 5
12 * 5
60
There are 60 different ways to wear a suit, shirt and pair of shoes.
Please answer this ASAP. The question is down below. Thank you!
Answers
Answer:
[tex]y = .5x^2 -2x -5[/tex]
Step-by-step explanation:
Well we can start by seeing if the parabola is the same width by comparing it to its parent function ( y = x^2 )
In y = x^2 the 2nd lowest point is just up 1 and right 1 away from the vertex.
This is not true for our parabola.
So we can widen it by to the desidered width by making the x^2 into a .5x^2.
So far we’ve got y = .5x^2
Now the parabola y intercept is at -5.
So we can add a -5 into the equation making it.
y = .5x^2 - 5
Now for the x value.
So we can find the x value by seeing how far away the parabola is from from the y axis.
So the x value is -2x.
So the full equation is [tex]y = .5x^2 -2x -5[/tex]
Look at the image below to compare.
Answer: [tex]Vertex: y=\dfrac{1}{2}(x-2)^2-7[/tex]
[tex]Standard: y=\dfrac{1}{2}x^2-2x-5[/tex]
Transformations: vertical shrink by a factor of 1/2,
horizontal shift 2 units to the right,
vertical shift 7 units down.
Step-by-step explanation:
Vertex form: y = a(x - h)² + k
Standard form: y = ax² + bx + c
Given: Vertex (h, k) = (2, -7), the y-intercept (0, c) = (0, -5)
Input those values into the Vertex form to solve for the a-value
-5=a(0 - 2)² - 7
2 = a(- 2)²
2 = 4a
[tex]\dfrac{1}{2}=a[/tex]
a) Input a = 1/2 and (h, k) = (2, -7) into the Vertex form
[tex]\large\boxed{y=\dfrac{1}{2}(x-2)^2-7}[/tex]
b) You can plug in a = 1/2, c = -5, (x, y) = (2, -7) to solve for "b"
or
You can expand the Vertex form (which is what I am going to do):
[tex]y=\dfrac{1}{2}(x-2)^2-7\\\\\\y=\dfrac{1}{2}(x^2-4x+4)-7\\\\\\y=\dfrac{1}{2}x^2-2x+2-7\\\\\\\large\boxed{y=\dfrac{1}{2}x^2-2x-5}[/tex]
c) Use the Vertex form to describe the transformations as follows:
a is the vertical stretch (if |a| > 1) or shrink (if |a| < 1)h is the horizontal shift (positive is to the right, negative is to the left)k is the vertical shift (positive is up, negative is down)[tex]y=\dfrac{1}{2}(x-2)^2-7[/tex]
a = 1/2 --> vertical shrink by a factor of 1/2
h = 2 --> horizontal shift 2 units to the right
k = -7 --> vertical shift 7 units down
Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6? y = negative 6 x + four-fifths y = four-fifths x minus 6 y = four-fifths x + 6 y = 6 x + four-fifths
Answers
Answer:
The answer is
[tex]y = \frac{4}{5} x - 6[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
m / slope = 4/5
c / y intercept = - 6
Substituting the values into the above formula
We have the final answer as
[tex]y = \frac{4}{5} x - 6[/tex]
Hope this helps you
Answer:
the correct answer is C.
Step-by-step explanation:
i got it right on edge 2020
In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
Answers
Answer:
Option D. 5 EE 6 ÷ 6.6 EE 4
Step-by-step explanation:
Data obtained from the question include the following:
Area of land purchased = 6.6×10^4 square miles
Cost = $ 5×10^6
To determine the key strokes on a calculator which will give the cost the
United States paid for each square mile of Florida, let us calculate cost of 1 square mile.
This can be obtained as follow:
6.6×10^4 sq mile = $ 5×10^6
Therefore,
1 sq mile = $ 5×10^6 ÷ 6.6×10^4
In calculator, the key strokes will be:
5 EE 6 ÷ 6.6 EE 4
Answer:
Like Eduard22sly said D). 5 EE 6 ÷ 6.6 EE 4 is correct.
plus i took the test 100% :)
if amir joins indian army, he is courageous.
convert this into contrapositive statement
Answers
If Amir is not courageous, then he will not join the indian army.
A triangle has squares on its three sides as shown below. What is the value of x?
x cm
6 cm
8 cm
A) 2 centimeters
B) 6 centimeters
C) 8 centimeters
D) 10 centimeters
Answers
Answer:
D
Step-by-step explanation:
This is an illustration of Pythagoras' identity.
The square on the hypotenuse x of a right triangle is equal to the sum of the squares on the other 2 sides, that is
x² = 8² + 6² = 64 + 36 = 100 ( take the square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10 cm → D
Answer:
D. 10 cm
The answer is 10 cm. This can be found through the use of Pythagorean. Theorem because it is a right triangle and you are finding the hypotenuse.
HOPE THSI HELPS
PLSSSSS MARK AS BRAINLIEST
THANK YOU..
trigonometry plz... helllppp thx
Answers
Answer:
90°
I think.
Step-by-step explanation:
Cause... As you see it's a right angle triangle... And also when you ad 6+15 u get 90...
I
7
A section of a rectangle is shaded.
The area of the shaded section is 63 square units. What
is the value of x?
7
х
9 units
11 units
O 18 units
21 units
Answers
This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
The value of x is 11
Start by calculating the area (A) of the trapezoid using
[tex]A= 0.5 * (a + b)h[/tex]
Using the parameters from the complete question, we have:
[tex]63 = 0.5 * (7 + x) * 7[/tex]
Multiply both sides by 2
[tex]126 = (7 + x) * 7[/tex]
Divide both sides by 7
[tex]18 = 7 + x[/tex]
Subtract 7 from both sides
[tex]x = 11[/tex]
Hence, the value of x is 11
Read more about shaded areas at:
https://brainly.com/question/24579466
in a certain game, points you win are positive numbers and points you lose are negative numbers. What is the value of the series plays: win 8, lose 7, will 11, lose 2?
a -15
B -4
C 4
d 12
Answers
Answer:
4
Step-by-step explanation
+8 + (-7) + (+11) + (-2)= 4
The value of the series plays is 10.
--------------------------
In this question, we have to find the total amount of points, considering the number of points on each series.
Win 8: Add 8 points.Lose 7: Subtract 7 points.Win 11: Add 11 points.Lose 2: Subtract 2 points.--------------------------
The total is:
[tex]T = 8 - 7 + 11 - 2 = 1 + 9 = 10[/tex]
10 points.
A similar question is given at https://brainly.com/question/14350453
For the rectangle with given area of 10x^2+11x+3 determine the binomial factors that describes the dimensions.
PLEASE HELP!!! WILL MARK BRAINLIEST!!!
Answers
=========================================
Explanation:
We could use the AC factoring method here. Multiply the first coefficient (10) with the last term (3) to get 10*3 = 30.
We need to find factors of 30 that add to 11
1+30 = 31
2+15 = 17
3+10 = 13
5+6 = 11
we have found the pair of factors that add to 11. So we'll break the 11x into 5x+6x and then use factor by grouping method
10x^2 + 11x + 3
10x^2 + 5x + 6x + 3
(10x^2 + 5x) + (6x + 3)
5x(2x + 1) + 3(2x + 1)
(5x+3)(2x+1)
We see the two factors are 5x+3 and 2x+1.
To check the answer, use either the box method, distribution, or FOIL rule to expand out (5x+3)(2x+1) and you should get 10x^2+11x+3 again.
--------------------------------
As an alternative, you can solve 10x^2+11x+3 = 0 through any method you prefer (graphing, completing the square, quadratic formula). The quadratic formula is the best option as it works for any quadratic. The two solutions you should get are x = -3/5 and x = -1/2
Using x = -3/5 and x = -1/2, we can do the following
x = -3/5 becomes 5x = -3 after multiplying both sides by 5, then you add 3 to both sides to get 5x+3 = 0x = -1/2 becomes 2x = -1 after multiplying both sides by 2, and then turns into 2x+1 = 0 after adding 1 to both sidesNote how we have the 5x+3 and 2x+1 as found in the section above. At this point we can stop as we found the factors needed. I'm using the zero product property which says that if A*B = 0, then either A = 0 or B = 0.
PLS HELP ASAP Event A and event B are independent events. Given that P(B)=13 and P(A∩B)=16, what is P(A)?
Answers
Answer:
The probability of event A happening which is P(A) = 1/2
Step-by-step explanation:
To answer this question, we will have to make use of the mathematical formula for independent events.
Firstly, what do we mean by independent events?
Independent events are events that occur freely of each other. What this means is that the occurrence or non-occurrence of one of the events does not disturb the occurrence or non-occurrence of the other event.
Given that A and B are independent events, then mathematically;
P(A ∩ B) = P(A) P(B)
Now from the question, we know that We are to find P(A), inputing the values we have;
1/6 = P(A) * 1/3
P(A) = 1/6/1/3
P(A) = 1/2
Question in screenshot answer must be in cm
Answers
Answer:
30.5 cm
Step-by-step explanation:
0 < h ≤ 10 ⇔ Midpoint = 5
10 < h ≤ 20 ⇔ Midpoint = 15
20 < h ≤ 30 ⇔ Midpoint = 25
30 < h ≤ 40 ⇔ Midpoint = 35
40 < h ≤ 50 ⇔ Midpoint = 45
50 < h ≤ 60 ⇔ Midpoint = 55
⇒ Multiply each corresponding midpoint with it's frequency
(5 × 1) + (15 × 4) + (25 × 7) + (35 × 2) + (45 × 3) + (55 × 3) = 610
⇒ Divide the total of 610 by the frequencies added together
610 ÷ (1 + 4 + 7 + 2 + 3 + 3) = 610 ÷ 20 = 30.5
Please help fast! Brainliest will be given if correct :) Divide 32x3 + 48x2 − 40x by 8x
Answers
Answer:
4[tex]x^{2}[/tex]+6x-5
Step-by-step explanation:
Factor out 8x from the numerator.
Answer:38.4
Step-by-step explanation:
(32x3)+(48x2)-40x/8x
96+96-40x/8x
192-5x=0
192=5x
192/5=38.4
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? A. 6 cups B. 7 cups C. 8 cups D. 9 cups
Answers
Answer:
hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.
B. 7 cups
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
What is the fraction?A fraction is a number which has numerator and denominator.Number of cups used to make muffins = 3 1/5
Estimation = 3 cups
Number of cups used to make banana bread = 3 2/3
Estimation = 4 cups
Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread
= 3 + 4 cups
= 7 cups.
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
Learn more about fraction here:
https://brainly.com/question/78672
#SPJ2
what is 2-3+5÷16?
please give the answer by solving it
Answers
Answer:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
Step-by-step explanation:
2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25
hope it helps
Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))
Answers
Answer:
1. 7
2. 6
[tex]3. 3\sqrt{5}[/tex]
4?
5. [tex]8\sqrt{10}[/tex]
6.[tex]5\sqrt{3}[/tex]
7. [tex]-1+\sqrt{3}[/tex]
Step-by-step explanation:
1. [tex]\sqrt{7} *\sqrt{7} =\sqrt{49}=7[/tex]
2. [tex]\sqrt{18}*\sqrt{2} =\sqrt{36}=6[/tex]
3.[tex]\sqrt{45}=\sqrt{9^{2}*5 }=3\sqrt{5}[/tex]
4. here there are two cases
[tex]\sqrt{\frac{50}{5} }=\sqrt{10}[/tex]
[tex]\frac{\sqrt{50} }{5} =\frac{5\sqrt{2} }{5} =\sqrt{2}[/tex]
5. [tex]2\sqrt{2} *4\sqrt{5} =8\sqrt{10}[/tex]
6. [tex]\sqrt{48}- \sqrt{12} =4\sqrt{3} -2\sqrt{3} =2\sqrt{3}[/tex]
7. [tex](2-\sqrt{3} )(1+\sqrt{3} )=2+2\sqrt{3}-\sqrt{3} -3=-1+\sqrt{3}[/tex]
-5x-2y=-6
Slope:
y-intercept:
Answers
Answer:
Slope = m = -5/2
Y-intercept = b = -3
Step-by-step explanation:
[tex]-5x-2y = -6[/tex]
Getting it in a slope - intercept form:
[tex]-2y = 5x+6\\Dividing \ both \ sides \ by \ -2\\y = \frac{-5x}{2} + (-3)\\y = \frac{-5x}{2} -3\\[/tex]
Comparing it wit the slope intercept equation [tex]y = mx+b[/tex] we get
Slope = m = -5/2
Y-intercept = b = -3