Help?? I don’t get this
Answer:
x = 19
Step-by-step explanation:
When a triangle is cut by a line parallel to its base, the resulting two triangles are similar. That means corresponding sides are proportional (their ratios are equal).
There are several ways the ratios can be written, but I like to choose one that has the variable in the numerator. Here's the proportion and its solution.
\(\dfrac{x+5}{16}=\dfrac{30}{20}\\\\x+5=24\qquad\text{multiply both sides by 16}\\\\x=19\qquad\text{subtract 5 from both sides}\)
_____
Additional comment
Technically, the corresponding sides of the triangles would be ...
entire long side of larger triangle: ((x+5) +30) and long side of smaller triangle (30)entire short side of larger triangle (36) and short side of smaller triangle (20)Since the parts labeled (x+5) and 16 are each the same fraction of their entire side, those parts are corresponding also, and will have the same proportion as other corresponding sides.
for every 15 Cheetos I ate 300 calories what's the unit rate
Answer:
20 calories per Cheetos
Step-by-step explanation:
hope it helped
an investigator traveling on official buisness in his personal vehicle had to make emergancy repairs to the vehicle. he paid $150 for the repairs to the vehicle for repairs plus 15% of this amount to compensate the mechanic for the repair work performed overtime. the investigator's office reimbbursed him $100 plus 40% of any amount over $100. which one of the equations represent the amount that the investigator was reimbursed for the repairs?
Answer:
x+40%of x
Step-by-step explanation:
here x is the 100$
Show that an implicit solution of 2x sin2(y) dx - (x2 + 11) cos(y) dy = 0 is given by ln(x2 + 11) + csc(y) = C.
Differentiating ln(x2 + 11) + csc(y) = C we get 2x/ x2 + 11 (__) dy/dy=0 or
2x sin2(y) dx + (______)dy = 0.
Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.)
y =_______
Answer:
From the question we are told that
The equation is \(2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0\)
Generally the goal of this solution is to prove that the implicit solution of the differential equation above is \(ln(x^2 + 11) + csc(y) = C.\)
First Step
Differentiate the solution with respect to x
\(0 = \frac{2x}{ x^2 + 11} + [-cot * csc(y) ]\frac{dy}{dx}\)
=> \(0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)} ]\frac{dy}{dx}\)
=> \(0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin^2(y) }]\frac{dy}{dx}\)
=>
multiply through by \(sin^2(y)\) , \( x^2 + 11\), \(dx\)
So
=> \(2 x (sin^2(y) dx + [-cos(y) (x^2 + 11)]dy = 0\)
Looking at the equation obtained we see that it is equivalent to the differential equation hence the implicit solution of \(2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0\) is \(ln(x^2 + 11) + csc(y) = C.\)
Step-by-step explanation:
Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 35 mi?
Answer:157.5
Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5
A rectangular prism shaped display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall. What is the volume of the display case in cubic inches?
A. 73 1/4 in
B. 320 1/4 in
C. 10, 328 1/16 in
D. 28,372 5/8 in
Answer:
The volume of the display case in cubic inches is 10,328 1/16 in.
Suposse that test scores are normally distributed with an unknown mean and standard deviation. The scores of 20 students are used to estimate the mean score. What t-score should be used to find the 90% confidence interval for the Suppose that test scores are population mean score?
df to.10 to.05 to.025 to.01 to.005
19 1.328 1.729 2.093 2.539 2.861
20 1.325 1.725 2.086 2.528 2.845
21 1.323 1.721 2.080 2.518 2.831
22 1.321 1.717 2.074 2.508 2.819
Answer:
The t-score that should be used to find the 90% confidence interval is 1.729.
Step-by-step explanation:
The (1 - α)% confidence interval population mean, when the population standard deviation is not known is:
\(CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot \frac{s}{\sqrt{n}}\)
The information provided is:
n = 20
α = 0.10
The degrees of freedom of t-statistic will be:
df = n - 1
= 20 - 1
= 19
Compute the critical value of t as follows:
\(t_{\alpha/2, (n-1)}=t_{0.10/2, 19}=1.729\)
*Use a t-table.
Thus, the t-score that should be used to find the 90% confidence interval is 1.729.
The sum of teo numbers is 459909 . One number 400019. Find the other number?
Answer:
59890
you just subtract
459909-400019
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
59890
Step-by-step explanation:
459909-400019
Natalie also made a catapult, but she used stronger elastic bands than Aiden did. As a result, she was able to send her ball farther with a shorter arm length. She also varied the length of her catapult arm while measuring the horizontal distance between where the tennis ball was launched and where it landed. The table presents the data she recorded while using her catapult. Length of Catapult Arm (cm) Horizontal Distance (cm) 25 290.8 35 325.4 30 315.2 60 420 65 435.8 50 385.1 45 355 40 362 50 378.3 40 333.9 Use the graphing tool to determine the line of best fit for Natalie’s data. Question What is the equation of the line of best fit for Natalie’s data? Enter the correct answer in the box by replacing m and b in the equation. Round each number to the nearest tenth.
Answer:
150.6
Step-by-step explanation:
all i did was i multiplied 5.02 by 30
Answer: y = 3.6x + 202.6 rounded to the nearest tenth.
Sally hopes to buy a 2 boat trailer for about $25,000. Describe all the numbers that when rounded to the nearest hundred are 25,000
Answer:
i think it will be 12,050?
Step-by-step explanation:
Find the solution to the following system of equations using the addition method. 5x - 3y = 12 -4x + 3y = 5 (13, -4)
Answer: You didn't give answer choices but I think the answer would be (17, 73/3)
I don’t understand any of this
Answer:
Step-by-step explanation:
From the given triangles in the picture attached,
∠A ≅ ∠X [Given]
∠B ≅ ∠Y [Given]
By AA property of similarity of the triangles, both the triangles will be similar.
ΔABC ~ ΔXZY
Similarity statement:
Corresponding sides of these similar triangles will be proportional.
\(\frac{XZ}{AB}= \frac{ZY}{BC}=\frac{XY}{AC}\)
Similarity ratio:
\(\frac{XY}{AC}=\frac{24}{16}\)
= \(\frac{3}{2}\)
= 3 : 2
m∠2 = by the .
m∠1 = by the .
m∠3 = by the .
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
ETIH
12
5
15
a.
12
4
5
15
5
b.
4
5
4
15
12
15
C.
4
5
1
12
10
3
d.
15
5
5
m
4
--
12
4
Answer: the answer is C
Step-by-step explanation: because
given a pair of similar triangles find the missing length x and the missing angles a,b,c
Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75
Find the missing length?Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.
find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = 43/x
to find x:
40x = 43 × 50
40x = 215
x = 215/40
x = 53.75
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
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Full question:
Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.
The doctor tells Emily that she needs to exercise enough to burn at least 200 calories each day. She prefers kickboxing or swimming. While kickboxing she burns 10 calories per minute, and while swimming she burns 7 calories per minute.
Answer: 10x+7y _>
200
Step-by-step explanation:
The best-fit equation is 10x+7y _> 200
What are fit equations?Fitting an equation to data is finding a linear, quadratic, exponential, or any other sort of function whose graph includes, or comes as close as possible to, a given set of data in the form of ordered pairs. The relative predictive power of a model shows how accurately the model is related to the data.
The theoretical pattern best accounts for the relationships among variables in a data set. For example, a regression equation having the best fit to sample data is the one that minimizes differences between observed and predicted values.
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if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs
Answer:
12 people are need to walk 24 dogs
Step-by-step explanation:
12/2=6
24/2=12
Answer:
12 people can walk 24 dogs.
Step-by-step explanation:
Given information,
→ 6 people can walk 12 dogs.
→ People required for 24 dogs = ?
Let us assume that,
→ Missing value = p
Forming the equation,
→ 6/12 = p/24
Then the value of p will be,
→ 6/12 = p/24
→ p/24 = 6/12
→ p × 12 = 6 × 24
→ 12p = 144
→ p = 144/12
→ [ p = 12 ]
Hence, the value of p is 12.
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 14 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
\(x=30\\y=68\\z=82\)
Step-by-step explanation:
x = measure of the first angle
y = measure of the second angle
z = measure of the third angle
The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)
\(y+z=5x\)
The third angle is 14 more than the second
\(z=y+14\)
And remember that the sum of these three angles must be equal to 180.
\(x+y+z=180\)
Let's take these equations
\(y+z=5x\\z=y+14\\x+y+z=180\)
If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....
\(x+y+z=180\\x+(y+z)=180\\x+(5x)=180\)
Distribute the + sign
\(x+5x=180\)
Combine like terms;
\(6x=180\)
Divide by 6.
\(x=\frac{180}{6}\\ x=30\)
We have now defined that the measure of the first angle is 30º.
Let's take another equation... for example \(z=y+14\)
I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.
\(x+y+z=180\\30+y+(y+14)=180\)
Distribute the + sign and Combine like terms;
\(30+y+y+14=180\\44+2y=180\\\)
Subtract 44 to isolate 2y.
\(2y=180-44\\2y=136\)
Now divide by 2.
\(y=\frac{136}{2}\\ y=68\)
We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.
\(x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82\)
Helppp meee Pleaseee
Answer:
4
Step-by-step explanation:
I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.
In this question, the binomial is (x + 2)².
You can expand this to be (x + 2)(x + 2).
When you expand it using the FOIL method, you get x times x, which is x².
Next, the outside/outer terms are x and 2, which is 2x.
Then, you multiply the inside/inner terms 2 and x, which is 2x.
Last, you multiply the last terms, which are 2 and 2, which is 4.
When you put them together, it looks like this:
x² + 2x + 2x + 4.
You can simplify this to x² + 4x + 4.
So your answer is 4.
Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer
In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong
What is the justification?
\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.
\(4\frac{2}{4} = \frac{16+4}{2}\)
=\(\frac{18}{4}\)
Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)
Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.
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can I have the best ever
Answer:
What?
Step-by-step explanation:
Is there supposed to be a picture or something?
Answer:
The best what? because I can give you lots ;)
Solve the question below:
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
Show step by step in numbers
Step-by-step explanation:
\(8x + 1 = - 31 \\ 8x = - 31 - 1 \\8 x = - 32 \\ x = - 32 \div 8 \\ x = - 4 \\ \\ \\ \\ \\ hope \: it \: heps \\ stay safe \: healthy \: and \: hppy\)
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Yesterday at baseball practice the guys decided to measure their throws. A smartie on
the team determined that the throw could be modeled by the equation,
h(t) = -16t² + 112t + 5, where h represents the height from the ground and t represents
the time in air.
a. What is the starting height of the ball?
b. How long is the ball in the air before it hits the ground?
c. What is the maximum height of the ball?
d. At what time will the maximum height occur?
e. Use your answers to graph the function.
Answer: c
Step-by-step explanation:
\(\\ x^{2} \sqrt{x} \sqrt[n]{x} \frac{x}{y} x_{123} \leq \geq \neq \pi \alpha \beta \left \{ {{y=2} \atop {x=2}} \right. \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)I think it’s 40%, am I correct?
find the area of the shaded regions. give your answer as a completely simplified exact value in terms of π
20 POINTS!!!
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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Jemima has twice as much money
as Matthew. Jemima has four times
as much money as Sally, Sally has
$3 more than Andrew. If Matthew
has $14, how much money do
Andrew, Sally and Jemima have?