Answers
Answer:
4.69 inches (2 decimal places)
Step-by-step explanation:
Refer to image attached to this answer:
Using Pythagoras Theorem:
[tex]AB^2+AC^2=BC^2[/tex]
[tex]2^2+3^2=BC^2[/tex]
[tex]4+9=BC^2[/tex]
[tex]BC^2=13[/tex]
-------------------------
Using Pythagoras Theorem,
[tex]BC^2+CD^2=BD^2\ (x)[/tex]
[tex]13+3^2=BD^2[/tex]
[tex]13+9=BD^2[/tex]
[tex]BD=\sqrt{22} = 4.69\ (2d.p.)[/tex]
First, we have to find the last remaining side of the leftmost triangle.
We can use the Pythagorean theorem.
The Pythagorean theorem: a^2 + b^2 = c^2
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 2
c = ?
Let's plug our numbers into the Pythagorean theorem.
3^2 + 2^2 = c^2
Simplify the left side
9 + 4 = c^2
Add together like terms
13 = c^2
Take the square root of both sides
[tex]\sqrt{13}[/tex] = c
Now we can use the Pythagorean theorem on the rightmost triangle to find x.
a = 3
b = [tex]\sqrt{13}[/tex]
c = x
let's plug our values into the Pythagorean theorem.
3^2 + ([tex]\sqrt{13}[/tex])^2 = (x)^2
Simplify the left side
9 + 13 = x^2
Add together like terms
22 = x^2
Take the square root of both sides
[tex]\sqrt{22}[/tex] = x
But the problem is asking for the approximate value, the approximate value of [tex]\sqrt{22}[/tex] = 4.69 in
Related Questions
can someone help me with factoring by grouping please show step by step
problem: x^2+4x+3
Answers
Answer:
(x+3) ● (x+1)
Step-by-step explanation:
x^2 + 3x + x + 3
x ● (x+3) + x +3
(x+3) ● (x+1)
Alicia has 3/4 bag of cat food. Her cat eats 1/10 of the food per week. how many weeks will the food last
Answers
Answer:
It would last 7 1/2 weeks if i'm correct
Answer:
the food will last for 7 weeks
Step-by-step explanation:
so 3/4 bag of food is 75 % of cat food and thats out of 100 so 1 out of 10 is basically 10 out of 100 and since there is only 75 ,10 goes into that 7 times so its 7
What is the value of the expression below when w
=
9 and x = 2?
W – 4x
Answers
Answer:
1
Step-by-step explanation:
we are given that: [tex]x = 2[/tex] and [tex]w = 9[/tex]
[tex]w - 4x \\9 - 4*2 \\9 - 8 \\1[/tex]
y= 3/2 x -3 how do you do this on a graph
Answers
What’s the slope between (0,-2),(-5.-3)
Answers
Answer:
1/5
Step-by-step explanation:
(0, -2) & (-5, -3)
slope formula: (y₂ - y₁) / (x₂ - x₁)
(-3 + 2) / (-5 - 0) =
(-1) / (-5) =
1/5
Answer:
1/5
Step-by-step explanation:
1. Put numbers into Slope Formula
Slope formula is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]When you put the number in, the equation is [tex]\frac{-3+2}{-5-0}[/tex]2. Solve formula to get [tex]\frac{-1}{-5}[/tex]
3. Simplify to get 1/5
Write in scientific notation 0.0053
Answers
Answer:
5.3 times 10^-3
Step-by-step explanation:
Answer:
5.3×10-3
Step-by-step explanation:
3(5m – 7) + 4 = 8m + 18
Can you also explain it. I stuck on where the +4 goes
Answers
Answer:
m=5
Step-by-step explanation:
Firstly we know we are solving for M.
So we start like this.
[tex]3(5m - 7) + 4 = 8m + 1 [/tex]
use the distributive property to multiply 3 by 5m-7=
[tex]15m - 21 + 4 =8m + 18[/tex]
Add -21 and 3 to get -17
[tex]15m - 17 = 8m + 16[/tex]
subtract 8m from both sides
[tex]15 m - 17 - 8m = 18[/tex]
combine 15m and -8m to get 8m
[tex]7m - 17 = 18[/tex]
Add 17 to both sides
[tex]7m = 18 + 17[/tex]
Add 18 and 17 to get 35
[tex]7m = 35[/tex]
Divide both sides by 7
[tex]m = \binom{35}{7} [/tex]
Divide 35 by 7 to get 5
[tex]m = 5[/tex]
ak-r=on, solve for k
Answers
Answer:
U need to copy and paste more of the question
Step-by-step explanation:
Start copy at the top go all the way to the bottem of the question and paste into brainly.
use ctrl c for copy and crtl v for paste
Evaluate 2a + 4b if a =10 and b=6
Answers
Answer:
44
Step-by-step explanation:
Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
Answers
Answer:
f(4.5) I think
Step-by-step explanation:
Answer:
–10, –7.5, –5, –2.5, …
Step-by-step explanation:
itz the answer
The length of C. D. Akers rectangular garden is 37 feet shorter than six times the width. If the perimeter of
his garden is 164 feet, what are the dimensions of Mr. Akers' garden?
Answers
Answer:
17 feet by 65 feet
Step-by-step explanation:
If w represents the width of the garden, then 6w-37 is the length. The perimeter of a rectangle is twice the sum of length and width, so the perimeter is ...
164 = 2(w +(6w -37)) = 14w -74
238 = 14w
238/14 = w = 17
__
6w-37 = 6·17 -37 = 65
The width of the garden is 17 feet; the length is 65 feet.
|2x− 3/4| =5 6/7 FIND ANSWER CORRECT = BRAINLIEST NO WORK NEEDED
Answers
Answer:
x=-99/56 or x=141/56
Step-by-step explanation:
the total cost to take the ferry to green island is $12 fee for the car plus $3 for each passenger in the car
Answers
Answer:I think it’s 15 dollar
Step-by-step explanation:
There is a 12.5% tax on items purchased in Arlington. What is the percent of the original price you will pay? Write your answer as a percent, decimal and fraction in the space below.
Answers
I have to pay 12.5% more than the original price.
The decimal representation is 0.125.
The fractional representation is 112.5/100.
What is the percentage?The percentage is the value per hundredth.
Given there is a 12.5% of tax on items purchased in Arlington.
Assuming the original price of a product is 100 dollars.
∴ The price of the product with 12.5% of tax is,
= (100 + 12.5)/(100)×100.
= 112.5 dollars.
∴ I have to pay 112.5 dollars for every 100dollar product.
So, the percentage of the original price that I have to pay is (112.5/100).
= 12.5%.
The decimal value of 12.5% is (12.5/100) = 0.125.
The fractional representation is 112.5/100.
learn more about percentage here :
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2. Tom makes $50 a day, 5 days a week. If his rent every four weeks was $500, what is
his overall net profit?
Answers
Answer:
$500 net profit in 4 weeks
Step-by-step explanation:
+$50 a day, 5 days a week, -$500 every 4 weeks
1. solve for initial profit in 4 weeks
5 profitable day*4 weeks= 20 days Tom makes a profit
20 days*$50= $1000 in 20 days
2. subtract rent from initial profit
1000-500= $500
State the domain and range for the following relation.
{(-4,4), (1, 2), (0, 3), (3, 2)}
Answers
Answer:
Step-by-step explanation:
D= {-4,1,0,3}
R={4,2,3,2}
David purchased 1.5 pounds of apples that cost 3.60 per pound. If he gave the cashier a twenty dollar bill, how much change would he receive?
Answers
1 pound = 3.60
.5 pound = 1.80
1.5 pounds = 5.40
So then you subtract 5.40 from 20
20 - 5.40 = 14.60
-2x + 10 = -2(x + 5)
Ox= 5
O = -5.
O infinitely many solutions
O no solution
Answers
Answer:
infinitely many solutions
Step-by-step explanation:
they both are the same expression just in different forms.
Simon and Iris earned money by selling candy. They earned $12 by recycling. They split the total and each got $100. How much money did they earn selling candy?
Answers
Answer:
188
Step-by-step explanation:
4/x=28/70
Pleaseeeee hwlpp
Answers
Answer:
x= 10
Step-by-step explanation:
hay esta la respuesta:)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 10}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{4}{x} = \frac{28}{70}} [/tex]
Do cross multiplication
[tex] \longrightarrow{ \sf{28x = 4 \times 70}}[/tex]
Multiply the numbers: 4 and 70
[tex] \longrightarrow{ \sf{28x = 280}}[/tex]
Divide both sides by 28
[tex] \longrightarrow{ \sf{ \frac{28x}{28} = \frac{280}{28}}} [/tex]
Calculate
[tex] \longrightarrow{ \sf{x = 10}}[/tex]
Hope I helped!
Best regards! :D
Which sequence shows the numbers in order from least to greatest? A. -2/3 , 1/5 , -3/4 B. 1/5 , -2/3 , -3/4 C. -3/4 , -2/3 , 1/5 D. -2/3 , -3/4 , 1/2 The negative signs are only for the numerators. That what it showed. Sorry I don't know how to put a picture with it.
Answers
Answer:
C. -3/4, -2/3, 1/5
Step-by-step explanation:
Just from observation, you can tell the 1/5 will be the greatest because all the other fractions are negative. Then, I converted them to decimal form to make it easier.
-2/3 = -0.6666666 (the 6 goes on forever)
-3/4 = -0.75
1/5= 0.20
Then, you put them in order.
-3/4 would be the least .
Followed by, -2/3
Finally, 1/5
Which is the correct simplified version of the expression shown below
after combining like terms?
12 + 3.4x -5.4x - X
A. -3x + 12
B. 9x
C. 9.8x + 12
D. -2x + 12
Answers
Answer:
D. -2x+12
Step-by-step explanation:
you combine all values with x because they are like terms.
:) hope this helps
Answer:
-2x+12
D is the best answer.
You have a square flower garden that has an area of 400 square yards. What is the length of one side of the garden?
Answers
Answer:
20 yards
Step-by-step explanation:
The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.
From here we simply need to square root both sides which gives us:
x=20
Therefore the length of one side of the garden is 20 yards.
Hope this helped!
Read the passage. Cooperative Trees We often think of trees as simple objects that provide us with things we need, such as lumber, shade, or fruit. Yet trees are far more complex—and social—than we recognize. An underground network of fungi, which some have called the "wood-wide web," connects the roots of numerous trees in a forest. Using the network, trees can communicate with and support one another. They may share water, carbon, nutrients, and protective compounds with one another. Scientists believe that one explanation for this phenomenon may be a "source-sink model." According to this theory, trees growing in excellent conditions with many resources transfer these resources to trees growing in less favorable conditions. In this way, trees in a forest ensure the health of the entire community by working cooperatively. What is the main idea of the passage?
Answers
Answer:
Trees have an underground network of fungi that help them support each other.
Step-by-step explanation:
Solve |7x + 21| = 14x. Identify the solution and an extraneous solution.
Answers
Answer:
Step-by-step explanation:
solution: x=3;
extraneous solution: x=-1
The solution is 3 and the extraneous solution is -1.
What is the modulus function?The modulus function is the function which gives the magnitude or absolute of the number in the variable.
|x|=x if x>0
-x if x<0
0 if x=0
So according to question,
|7x+21|=14x
case-1: if 7x+21>0
⇒7x>-21
⇒x>-21/7
⇒x>-3
if 7x+21>0 , Using the modulus function property
|7x+21|=14x
⇒7x+21=14x
⇒14x-7x=21
⇒7x=21
⇒x=21/7
⇒x=3 which is also x>-3
x=3 is the solution
case-2: if 7x+21<0
⇒7x<-21
⇒x<-21/7
⇒x<-3
if 7x+21<0 , Using the modulus function property
|7x+21|=14x
⇒-(7x+21)=14x
⇒-7x-21=14x
⇒14x+7x=-21
⇒21x=-21
⇒x=-21/21
⇒x=-1 for which x<-3 is not true
x=-1 is an extraneous solution.
Therefore the solution is 3 and the extraneous solution is -1.
Learn more about the modulus function
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1.Phone company A charges $20 a month and $0.10 per minute of phone calls. Phone Company B charges
$15 a month and $0.20 per minute of phone calls. How many minutes of phone call will it take for
Company A to cost the same as Company B?
Answers
I might be wrong but I think it's 50 minutes.
$0.10 x 50min = $5
$20 + $5 = $25
$0.20 x 50min = $10
$15 + $10 = $25
So, it's 50 minutes.
Solve for x. 7x−9 11
Answers
Answer: x < 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
7x−9<12
Step 1: Add 9 to both sides.
7x−9+9<12+9 =7x<21
Step 2: Divide both sides by 7.
7x/7 < 21/7
Answer: x < 3
The polygons are similar solve for x
Answers
Answer:
x=12
Step-by-step explanation:
14/21=16/(x+12)
cross multiply
14(x+12)=16(21)
14x+168=336
14x=336-168
14x=168
x=12 (so the side would be x+12=24)
You could also see that 14 is 2/3 of 21, so 16 has to be 2/3 of x+12. That means x+12 would have to equal 24. If you take the 12 away from 24, x=12.
A bottle of maple syrup in Wayne’s freezer needs to be warmed for breakfast. Sitting on the kitchen counter, the bottle temperature will go up a steady 9.6° C every hour. If the bottle temperature begins at the freezer temperature of –16° C, how many hours will it take to reach 20° C?
Answers
Answer:
3.75 hours, hope this helps
Find the product: (-3)(-100) *
Answers
Answer:
300
Step-by-step explanation:
(-3)(-100)= -3 x -100
A NEGATIVE MULTIPLIED BY A NEGATIVE WILL ALWAYS GET A POSITIVE SO MAKE -3 INTO 3 AND TURN -100 INTO 100.
Now you have 3 x 100 which gets you 300
