Answer:
two times
Step-by-step explanation:
ΔM: let 'h' = height; let '4b' = base
ΔN: let 'h/2' = height; let 'b' = base
Area (ΔM) = 2bh
Area (ΔN) = bh
The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex]\frac{\sqrt{10}}{2}[/tex]
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle, and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of [tex]\sqrt{5}[/tex], we have:
[tex]x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}[/tex]
A shop owner spent $540 to purchase a stock of computer keyboards. If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards. Find the price of one keyboard.
Answer:
Price before discount = $20 per keyboard
Price after discount = $18 per keyboard
Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.
===============================================
Work Shown:
k = cost of one keyboard before the price reduction
540/k = amount of keyboards purchased before the price reduction
k-2 = cost of one keyboard after the price reduction
540/(k-2) = amount of keyboards purchased after the price reduction
540/(k-2) = (540/k) + 3
--------------
If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so
540/(k-2) = (540/k) + 3
540k = 540(k-2) + 3k(k-2)
540k = 540k - 1080 + 3k^2 - 6k
0 = 540k - 1080 + 3k^2 - 6k - 540k
0 = 3k^2 - 6k - 1080
3k^2 - 6k - 1080 = 0
3(k^2 - 2k - 360) = 0
k^2 - 2k - 360 = 0
(k - 20)(k + 18) = 0
k-20 = 0 or k+18 = 0
k = 20 or k = -18
We ignore the negative result because a negative price doesn't make sense.
--------------
If k = 20, then
540/k = 540/20 = 27
Meaning that you can buy 27 keyboards before the price reduction
In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.
After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18
We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.
Answer:
$20
Step-by-step explanation:
X: the price of a keyboard
Y: number of keyboards to buy (original)
The shop owner spent $540 to purchase a stock of computer keyboards, so:
XY=540
⇒X=540/Y
If the price of each keyboard had been reduced by $2, he could have bought 3 more keyboards:
(X-2)(Y+3)=540
⇒3X-2Y=6
⇒3.540/Y – 2Y=6
⇒Y=27
⇒X=20
⇒ the price of one keyboard: $20
I need help please and urgent!
Answer:
the answer is blurry for me take a picture again
Step-by-step explanation:
PLEASE ANSWER DUE IN 30 MINUTES IM GONNA FAIL ITS GRADE 7 WORK EZ HAP
1.Why were rivers very important to Canada’s
development and history?
2. What rivers run near to where you live? How are they
important to you?
Answer:
Rivers helped Canada in so many ways! One of the ways was it helped Canada travel trading goods with the waterways. Also 7% of the worlds fresh water come from Canada Rivers. Im from Toronto and the rivers here are super important. They provide me, my friends and family and everyone around me fresh water. and there are some beautiful sceneries from them to!
Step-by-step explanation:
Hope this gave you some ideas and helped please mark brainliest :)
Answer:
Certain heritage rivers, such as the Kazan River in Nunavut, are designated for their natural heritage. These pristine waterways are valued for their undisturbed Fall Caribou Crossing, Parks Canada / Passage-de-Caribous-en-Automne, Parcs Canadabeauty and have been designated to ensure that their natural integrity is protected... https://www.historicplaces.ca/en/pages/17_heritage_rivers-rivieres_patrimoniales.aspx I got you!
Step-by-step explanation:
Please help me find x and y. Give a real answer that is correct.
Answers:
x = 5/2 = 2.5
y = 10
============================================
Explanation:
Focus on the smallest triangle and the medium sized triangle. We can form the proportion 2/4 = x/5 by dividing the corresponding sides together.
Solving for x leads us to the following
2/4 = x/5
2*5 = 4*x
10 = 4x
4x = 10
x = 10/4
x = 5/2
x = 2.5
-----------------
Now focus on the medium sized triangle and the largest triangle. We'll use the same idea as before
4/8 = 5/y
4y = 8*5
4y = 40
y = 40/4
y = 10
Note how each horizontal line is a midsegment, which means that jumping from y = 10 to 5 is us taking half of that value. Then going from 5 to x = 5/2 = 2.5 is another step of cutting in half.
what is the correct answer
Answer: c
hope this works
Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done
Answer:
gradient of horizontal slope is 0
You have a hospital bill of $14,000. You have an insurance plan that has a $2,000 deductible and a 20% coinsurance clause. How much do you pay towards the total bill?
Answer:
4400
Step-by-step explanation:
First take off your deductible
14000-2000
12000
Now find 20 % of this amount
12000*20%
12000 * .20
2400
You have to pay the deductible and the 20%
2000+2400
Which angles in the picture are NOT supplementary?
Answer:
2nd option
1 and 3 ; 2 and 4
Step-by-step explanation:
supplementary angles are those whose sum equal to 180°.
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces.
Answer:
$0.42 + $0.17w = x
$0.42 + $0.17 x 4 = $1.10
Step-by-step explanation:
for building the equation, we were given the variable for ounces so just multiply the amount of ounces by .17 and for solving for four ounces just input 4 into W and boom equation solved
Answer:
$0.42 + $0.17 x 4 = $1.10
Step-by-step explanation:
Abigail invested $130 in an account paying an interest rate of 4 5 8 4 8 5 % compounded continuously. Hunter invested $130 in an account paying an interest rate of 4 7 8 4 8 7 % compounded daily. To the nearest hundredth of a year, how much longer would it take for Abigail's money to triple than for Hunter's money to triple?
Answer: 1.22 years
Step-by-step explanation: see photos attached.
−2y = 9x + 6
slope =
y-intercept =
Answer:
isnt the slope 4.5
Step-by-step explanation:
wewewewewewe
Share 350cm in the ratio 3 : 7
Answer:
105cm & 245cm
Step-by-step explanation:
[tex]3x+7x=350\\10x=350\\x=35\\\\\\3(35)=105\\7(35)=245[/tex]
cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i
Solve the given equation for z :
2iz - 5 + i = i - (z - 2i )
2iz - 5 = 2i - z
(2i + 1) z = 2i + 5
z = (2i + 5)/(2i + 1)
z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)
z = (4i ² + 10i - 2i - 5) / (4i ² - 1)
z = (8i - 9)/(-5)
z = 9/5 - 8/5 i
Then
w = z - 1 + i = 4/5 - 3/5 i
Consider the following sequence of numbers
Answer:
There are no questions below .
The road leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high. What is the length of the road to the top of the hill?
Answer:
2760
Step-by-step explanation:
23 multiply by 120
=2760
Which linear inequality is represented by the graph?
A.y<2/3x+3
B.y>3/2x+3
C. y>2/3 x + 3
D.y<3/2x + 3
can someone pls help for brainlest
Answer:
144
Step-by-step explanation:
Which of the following sets of ordered pairs does not represent a function?
A {(1,2), (2, 3), (4, 5), (3, 3)}
B {(-1,3), (2, 3), (6,5), (7,3)}
C {(1, 2), (1, 3), (-4, 5), (3, 3)}
D {(-1, 2), (2, 2), (4, 2), (3, 2)}
If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?
Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form
Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Step-by-step explanation:
Formula for gradient of a line segment :
[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]
Given points of the line segment: (-5,2) and (4,3)
[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]
[tex]\text{Gradient} =\dfrac{1}{9}[/tex]
Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].
Patricia y Armando tienen $220 entre los dos. Patricia le da a Armando $30 de tal forma que ambos tendrán la misma cantidad de dinero. ¿CUANTO DINERO TIENE CADA UNO?
Answer:
Patricia's amount of money = $125
Armando's amount of money = $95
Step-by-step explanation:
Given:
Total amount of money = $220
Patricia have $30 more than Armando
Find:
Amount of money each have.
Computation:
Assume;
Patricia's amount of money = a
So,
Armando's amount of money = a - 30
So,
a + a - 30 = 220
2a - 30 = 220
2a = 250
a = 125
Patricia's amount of money = $125
Armando's amount of money = 125 - 30
Armando's amount of money = $95
Can someone pls help
How to solve this? I have no clue and also teach me on how to solve this! Thank you!!! thank you for your time!!!!
The answer you have is the correct answer. When reflecting across the x-axis, the x-coordinate will always remain the same, but the y-coordinate value will be the opposite (in this case -5 will become 5)
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
Learn more about Rhombus here:
https://brainly.com/question/27870968
#SPJ5
a) Use one of these symbols <, > or = to make each statement true.
(i) 18.4
| 18.04
(ii) 0.7
35
50
b) Round 173528 to the nearest hundred.
c) Write
as a decimal.
Answer:
(i) 18.4 > 18.04
(ii) 0.7 < 50 > 35
b) 173500
c) 173500
Step-by-s tep explanation:
(i) To compare decimals such as 18.4 and 18.04, first line up the decimal points of the numbers. Next, we compare the digits place by place starting on the left. 1 and 1 are the same, 8 and 8 are the same, but notice that 4 is greater than 0. This means that 18.4 is greater than 18.04.
(ii) Simple less than < greater than > skills.
b) Simple rounding.
c) The answers stays the same; rounding cannot be completed using JUST whole numbers.
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660
Which property is shown?
If m∠ABC = m∠CBD, then m∠CBD = m∠ABC
ANSWER: symmetric property
hope it helps thanks
brainliest pls
Answer: The answer is Symmetric Property
Which exponential equation is equivalent to this logarithmic equation?
log5 x - log5 25 = 7
A. 7^9=x
B. 5^9=x
C. 7^5=x
D. 5^5=x
Answer:
[tex] \displaystyle B)x = {5}^{9} [/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle \log_{5}(x) - \log_{5}(25) = 7[/tex]
simplify the log:
[tex] \displaystyle \log_{5}(x) -2 = 7[/tex]
add 2 to both sides:
[tex] \displaystyle \log_{5}(x) = 9[/tex]
remember that,
[tex] \displaystyle \log_{a}(b) = c \iff {a}^{c} = b[/tex]
so we obtain:
[tex] \displaystyle x = {5}^{9} [/tex]
hence,
our answer is B)
Which of the following systems of inequalities has solutions represented by the graph shown below?
Answer:
y ≤ 1/2x - 1
y ≤ -2x + 4