The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
Learn more about the Pythagorean theorem here:
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Is (-12,8) a solution to 2x+y=40
Answer:
no it is not. the line crosses the x in 20, and crosses the y in 40
The owner invested 18,400 in the company in exchange for its common stock. The company purchased 1,350 cash in supplies. The owner invested 11,700 of equipment for more common stock. The company purchased 370 of additional supplies on credit. The company purchased land for 10,700 cash
Answer:
Total expenses: $34,520
Money needed for profit: $34521
Is this a good idea: Not unless he is prepared for it to go under...
Step-by-step explanation:
t=(m+b)x solve for x
Answer:
[tex]x=\frac{t}{m+b}[/tex]Step-by-step explanation:
T = (m + b)x
Divide both side by (m + b):
[tex]\frac{T}{(m+b)} =\frac{(m+b)x}{(m+b)}[/tex]
Cancel out (m + b) and you have your answer!
Hope this helped. A brainliest would be very much appreciated. (I need 4 brainliest so I can level up) :)
suppose a varies directly as b, and a =8 when b =3 find b when a =24
Answer:
b=9
Step-by-step explanation:
since a varies directly as b,
a=kb
k=a/b
k=8/3
but when a=24, b will be given by
b=a÷k
b=24÷8/3, b=24×3/8
b=9
The perimeter of the rectangle below is 56 units. Find the length of side BC.
Write your answer without variables.
DC = 3x - 2 DA = 2x
BC = ?
Answer:
12 unitsStep-by-step explanation:
Perimeter formula:
P = 2(l + w)Given:
l = 3x - 2w = 2xP = 56Find the value of x:
2(3x - 2 + 2x) = 565x - 2 = 285x = 30x = 6BC is parallel side to AD and is:
BC = AD = 2*6 = 12BC must parallel to DA hence equal
Now
2(Length+Breadth)=Perimeter2(3x-2+2x)=56(5x-2)=285x=30x=6BC=2(6)=12units
A giant prepared a big feast. If he invites another giant, they will finish the feast in 10 hours. He decides to invite 4 giants. How many hours will it take him and giant friends to finish the feast?
Answer:
1 1/4
Step-by-step explanation:
3. At the beach, you would like to fill 5 buckets with seashells. You have
8 minutes to do so. If you set a steady pace, how much of a bucket
should
you
fill in each minute?
A. bucket
B. į bucket
c. bucket
D. buckets
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
simply each radical 1-4
Answer:
1. [tex]8x\sqrt{yz\\}[/tex] 2.[tex]8xy\sqrt{xz}[/tex] 3.[tex]4x^{2}yz\sqrt{y}[/tex] 4.[tex]7yz\sqrt{xz}[/tex]
Step-by-step explanation:
Find the indicated Z score. The graph depicts the standard normal distribution with mean 0 And the standard deviation 1
The indicated Z score is what?
The indicated Z score according to the given graph will be z < -0.1635
The normal distribution has a mean-values between 0 and 1.
From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.
According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635
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Is this graph portional
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.
Helppppppppp plzzzzzzzzzz
If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
Answer:
The correct answer is 9.
Step-by-step explanation:
To get this solution, you would need to use division.
[tex]\frac{54}{6} = 9[/tex]
--
To be sure that the answer is correct, check your answer.
[tex]9*6 = ?[/tex]
[tex]9*5 = 45[/tex]
Since the easiest way to determine the multiple of 9 is 5, all you need to do is add another 9.
[tex]45+9=54[/tex]
--
**Remember: You are able to check if your answer(s) are correct in any way you are comfortable with.
Answer:
$9 per cupStep-by-step explanation:
Let the unit price is x.
6 cups cost $54:
6x = 54x = 54/6x = 9the scale on a map says that 3 cm represents 12 km what is the actual number of km represented by 5 cm on the map
A. 1.5 km
B. 2.4 km
C. 60 km
D 20 km
2.4 please follow mee i think this is answer
Help!!![tex]What is the measure of ∠L?[/tex]
Answer:
60°
Step-by-step explanation:
1. Because this is an equilateral triangle (a triangle with all equal sides), all angles are equal and are 60°.
Therefore, ∠L is 60°.
Find the missing length
Step-by-step explanation:
with the height in a right triangle, we get 3 right triangles (the original one, and the 2 on both sides of the height). all 3 of these triangles are similar to each other.
that means (among other things) the ratios of 2 sides of one triangle must be the same ratio of the corresponding sides in the other triangle.
x/64 = 36/x
x² = 36×64
x = sqrt (36×64) = 6×8 = 48
long story short, x is the geometric mean value of the segments of the Hypotenuse.
geometric mean value means the nth root of the product of n numbers.
in our case - square root out of 2 numbers (the segment lengths).
4. Find the scale factor using the given scale drawing and measurements below.
Answer:
Actual=3cm
Scale=5cm
3x=5
3/3x=5/3
X=5/3
The scale factor is 5/3
A parabola can be drawn given a focus of (-9,6) and a directrix of x = -1. What
can be said about the parabola?
how do i solve this type of rational equation (x^2-16)/(4-x)
helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!
Answer:
33ft^2
Explanation:
surface area of square pyramid equation: [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]
A = 34.63, so none of the answers shown are really it.
Kareem makes muffins using a ratio of 3.5 cups of flour for every 1.75 cups of sugar.
If he has 3.5 cups of sugar, how much flour does he need to make the muffins?
The constant of proportionality for the amount of flour to sugar in this recipe is ___.
If Kareem uses 3.5 cups of sugar, he will need ___ cups of flour.
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
Two variables are said to be proportional if an increase in one variable leads to an increase in another variable and vice versa.
Let y represent the cups of flour and x represent the cups of sugar. Hence:
3.5 cups of flour for every 1.75 cups of sugar:
y ∝ x
y = kx
k is the constant of proportionality
3.5 = 1.75k
k = 2
y= 2x
If Kareem uses 3.5 cups of sugar, he will need:
y = 2x = 2(3.5) = 7
The constant of proportionality for the amount of flour to sugar in this recipe is 2.
If Kareem uses 3.5 cups of sugar, he will need 7 cups of flour.
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Step by step please!
One-ninth of the candies in a bag of M&M's are red. If there are 16 red candies, how many M&M's are in the bag?
Answer:
21
I hope this helped I would appreciate brainliest if possible
Solve the photo above ⬆️
Btw these one's are gonna be a bit more confusing for me, so expect me to atleast probably send 7 more ^^|l|l
Answer:
7¹⁰ :) hope this helps you!!
If our monthly income is $3050 in your house payment is $2400 what fraction of your monthly income must go to pay your house payment?
Answer:
The 28% rule states that you should spend 28% or less of your monthly gross income on your mortgage payment (e.g. principal, interest, taxes and insurance). To determine how much you can afford using this rule, multiply your monthly gross income by 28%
Algebra 2 Need help with b
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
Matthew borrows $200, agreeing to pay it back with a 6% annual interest after 20 months. How much interest will she pay?
Answer:
$20.00
Step-by-step explanation:
Equation:
A = P(1 + rt)
convert R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Putting time into years for simplicity,
20 months / 12 months/year = 1.666667 years.
sol.
A = 200(1 + (0.06 × 1.666667)) = 220.000004
A = $220.00
The total amount accrued, principal plus interest, from simple interest on a principal of $200.00 at a rate of 6% per year for 1.666667 years (20 months) is $220.00.
Interest: $20.00
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Check all solutions to the equation. If there are no solutions, check 'None."
x = -5
Answer:
None
Step-by-step explanation:
As per the defenition of Absolute Value, There are no negative values, therefore there are no possible answers, hence you would say "None".
Definition: Absolute Value is the distance a number is away from 0.
Therefore, Distance can never be 0.
Four fifth of a number 'm' is 4 more than three-fourth of the same number. Find the number.
Answer:
Let the number be x. Then, 4/5x - 3/4x = 4. Hence, The required number is 80.
Step-by-step explanation:
Let the number be x.
According to the question, lets form an equation
5
4x −4
3x +4
⇒ 5 4x − 4
3x =4
20
16x − 15x =4
⇒ 20x =4
⇒ x=4×20
⇒x=80
∴ The number is x=80.
Plot the graph of the linear equation. 3x-2y=6
Answer:
First point : (0, -3)
Second point : (2, 0)
Y-intercept : -3
Step-by-step explanation:
To tackle a question like this, the first thing you want to do is put the equation into y = mx + b form.
1.) 3x - 2y = 6
2.) -2y = -3x + 6 (bring 3x to the other side, using inverse operations)
3.) y = 1.5x - 3 (divide -2 on both sides, to isolate the variable y)
Now that you have the y-intercept (-3), you have your y value. Finally, just substitute the variable y from the original equation to solve for the x value.
1.) 3x - 2(-3) = 6
2.) 3x + 6 = 6 (multiply (-2) and (-3))
3.)3x = 0 (subtract 6 on both sides using inverse operations)
4.) x = 0
Now you have your first point which is (0, -3)!
To get your last point, just substitute your y coordinate from the original equation to get x.
1.) 3x - 2(0) = 6
2.) 3x - 0 = 6
3.) 3x = 6
4.) x = 2
Then, substitute the x coordinate from above in the original equation to get the y coordinate.
1.) 3(2) - 2y = 6
2.) 6 - 2y = 6
3.) -2y = 0
4.) y = 0
Second coordinate : (2, 0)
I hope this explanation was helpful!