Hey ! there
Answer:
13 is the answer .Step-by-step explanation:
In this question we are provided with right angle triangle having hypotenuse ( longest side ) = c , perpendicular = 5 and base = 12 . And we are asked to find the length of missing side i.e. hypotenuse and if necessary we have to round it off to 2 decimal places.
We can find the missing side by using Pythagorean Theorem . It states that sum of squares of perpendicular and base is equal to square in a right angle triangle that is ,
[tex] \: \qquad \: \qquad \: \underline{\boxed{ \frak{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]
Where ,
H refers to HypotenuseP refers to PerpendicularB r refers to BaseSOLUTION : -
Substituting value of hypotenuse as c , perpendicular as 5 and base as 12 in formula :
[tex] \quad \longmapsto \qquad \: (c) {}^{2} = (5) {}^{2} + (12) {}^{2} [/tex]
Squaring 5 and 12 :
[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 25 + 144[/tex]
Adding 25 and 144 :
[tex] \quad \longmapsto \qquad \:(c) {}^{2} = 169[/tex]
Applying square root to both sides :
[tex] \quad \longmapsto \qquad \: \sqrt{(c) {}^{2} } = \sqrt{169} [/tex]
On simplifying , We get :
[tex] \quad \longmapsto \qquad \orange{\underline{\boxed{\frak{c = 13}}}} \quad \bigstar[/tex]
Henceforth , ❝ 13 ❞ is the length of missing side .Verifying : -
Now we are checking our answer by putting all values in formula . So ,
( 13 )² = ( 5 )² + ( 12 )²169 = 25 + 144169 = 169L.H.S = R.H.SHence, Verified .Therefore , our answer is correct .
#Keep LearningAnswer :
13[tex] \: [/tex]
Step-by-step explanation :
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]
Here,
The Base is 12The Perpendicular is 5The Hypotenuse is c.[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= (12) {}^{2} + (5 {)}^{2} }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 144 + 25 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (c {)}^{2}= 169 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad c = \sqrt{169} }}} \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad c= 13 }}}\\ \\[/tex]
Therefore,
The measure of the third side (c) is 13Martin has a bag of marbles. He removed 1 marble at random, recorded the color and then placed it back in the bag. He repeated this process several times and recorded his results in a table. Find the experimental probability of drawing green color.
Using it's concept, it is found that there is a 0.3 = 30% experimental probability of drawing green color.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
Researching the problem on the internet, it is found that 15 out of 12 + 10 + 15 + 13 = 50 trials resulted in a green marble, hence the probability is given by:
p = 15/50 = 0.3.
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Gertrude climbs a 8-meter tower to ride a straight water slide. The
slide is 33 meters. After landing in the splash pool, how far does she
walk to get back to the base of the tower? Provide an answer accurate
to the nearest tenth.
33 m
8 m
walk
label required
Answer:
Hello,
11.2 is your answer!
Let's Beginnn.... READ EXPLANATION!!! ITS ALWAYS HELPS... TRUST MEEEEEEEEEEE!!!!
Step-by-step explanation:
Okay so this is clearly a pythagorean theorem question....
Imagine a ladder on a wall..... its kinda like a triangle.....
with that said... lets begin the math... A^2 + B^2 = C^2
The problem itself gives us c and a.
We have to solve for b.
33^2 - 8^2= b^2
1089 - 64 = 1025 = b^2
notice that we found b^2 but we are looking for b
so we have to take the square root....
√1025= 11.18
it says round to nearest tenth.... sooooo
11.2 is your answer!
help me slove this please i really need thee answer
I NEED HELP ON THE ONES THAT AREN'T CROSSED OFF!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEEEEEEEEEEEEE ( i already did 8)
The computation of the word problem shows that the oranges will John have in 12 weeks will be 70 oranges.
How to solve the word problem?The word problem will be that John has 10 oranges and buys 5 more oranges every week. How many oranges will John have in 12 weeks.
The computation will be:
= 10 + 5x
where x= number of weeks.
= 10 + 5x
= 10 + 5(12)
= 10 + 60
= 70 oranges
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Points A, B, and Care located on a circle, and chords exist between all three points. If the measure of ZBAC is 88°, what is the measure of BC?
OA. 88°
OB. 92°
O C. 176°
OD. 184°
Answer:
92
Step-by-step explanation:its right
How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
Answer:
The number of walnut pounds we need to add is 10
Step-by-step explanation:
We need to make a mixture that costs $1 per pound.
That means that the total cost of our mixture, divided by the number of pounds must be equal to 1.
[tex]\frac{MixtureCost}{NumberOfPounds} = 1[/tex]
Well, we know that the total cost of our mixture is equal to the cost of the cashews + cost of walnuts.
[tex]MixtureCost = CashewsCost + WalnutsCost[/tex]
We also know that we'll buy 8 pounds of cashews that cost $1.25 each and some amount of pounds (which we'll call x) of walnuts that cost $0.80.
Knowing all of that, we can write this:
[tex]MixtureCost=8*1.25 + x*0.8[/tex]
If we make that multiplication, we have that
[tex]MixtureCost=10+x*0.8[/tex]
Now that we know the cost of our mixture, we just need to know the total number of pounds... But we already know that, don't we?
We know that there are 8 pounds of cashews and x pounds of walnuts, so here's what we can write:
[tex]NumberOfPounds=8+x[/tex]
Now, if we plug in the values we found in the first equation, here's what we have:
[tex]\frac{10+x*0.8}{8+x}=1[/tex]
The 8+x is dividing, so i'll pass it to the other side multiplying:
[tex]10+0.8*x=x+8[/tex]
The 10 in the left side will go to the right side with a negative sign:
[tex]0.8x=x-2[/tex]
Now, if I pass the x from the right side to the left one changing signs:
[tex]0.8x-x=-2\\\\-0.2x=-2[/tex]
By changing signs from both sides, we have that:
[tex]0.2x = 2\\\\x = 10[/tex]
Therefore, the number of walnut pounds we need to add is 10
Solve (x+7)^2=49 algebra
Answer: x = 0
Step-by-step explanation:
Given:
(x + 7)² = 49
Distribute:
x² + 7² = 49
Square:
x² + 49 = 49
Subtract 49 from both sides of the equation:
x² = 0
x = 0
The only solution to this equation is 0.
-> We can also see this with graphing. See attached.
answer:
x=0
Step-by-step explanation:
(x+7)^2=49
take the square root of both sides
√(x+7)^2=√49
x+7=7
x=0
Joe thinks the area to be pantries on wall 2is 84 square feet.
Please put a picture next time :)
Work out 2/15 of 5 Give your answer as a fraction in its simplest form.
Answer:
2/3
Step-by-step explanation:
2/15 of 5
Of means multiply
2/15 * 5
Multiply the numerators
2*5 = 10
Put over the denominator
10/15
We can divide the top and bottom by 5
10/5 =2
15/5 =3
2/3
Answer:
Step-by-step explanation:
Please answer, thank you. Image below.
I need to find the missing angle. The letter represents the missing angle
Answer:
Top Image: 56°
Bottom Image: 134°
Step-by-step explanation:
I'm not sure which image you have a question on, so I'll just solve both.
Top Image:
We know that the sum of the angles will add up to 180 and that the angles of the triangle are f, f, and 68°. Therefore, we can set up the following equation:
f + f + 68° = 180°
Solving this gets f = 56°
Bottom Image:
We know that the sum of the angles will add up to 180 and that the angles of the triangle are 23°, 23°, and g. Therefore, we can set up the following equation:
23° + 23° + g = 180°
Solving this gets g = 134°
help me help me help me help me help me help me help me help me
Answer:
Hope it help
Step-by-step explanation:
1. B
2. A
3. C
4. C
5. D
Solve for D: 70D + 6 - 9D= 35 + 4D - 2.
70d+6-9d=35+4d-2
70d-9d-4d= 35-2-6
57d= 27
d= 27÷57
You purchase a hat for $50. There is a sales tax of 8.5%. What is the final cost with sales tax?
Answer:
Price before tax: $ 50.00
+ Sales tax (8.5%): $ 4.25
Total price including tax: $ 54.25
Step-by-step explanation:
A sales tax is a tax that is levied on the purchase of goods and services. Except for Alaska, Delaware, Montana, New Hampshire, and Oregon, all states in the United States and the District of Columbia charge a state sales tax when you buy goods or pay for services. Alaska, like many other states, allows local governments to levy local sales taxes. Certain kinds of goods are exempt from sales tax in some states. In Massachusetts, for example, there is no sales tax on ordinary supermarket goods. There are also extra tax surcharges in several states. Restaurants and motels in the hospitality business sometimes levy a tax rate greater than the state sales tax rate. Expected sales tax rates and potential tax surcharge rates should be checked with your state and area.
Sales Tax Calculation Formulas
Sales tax rate = sales tax percent / 100Sales tax = list price * sales tax rateTotal price including tax = list price + sales tax, orTotal price including tax = list price + (list price * sales tax rate), orTotal price including tax = list price * ( 1 + sales tax rate)please help me with math i’d really appreciate it thank you
Answer:
Step-by-step explanation:
[tex]f(x) = \dfrac{2}{3}x-4\\[/tex]
When x = 0 ; f(x) = 0-4 = -4
When x = 3 ;
[tex]\sf f(3) =\dfrac{2}{3}*3-4\\\\ = 2-4\\\\ f(3) = -2[/tex]
When x = 6,
[tex]\sf f(6) = \dfrac{2}{3}*6-4\\\\ f(6) =2*2-4 = 4-4\\\\ f(6)= 0[/tex]
When x = -6;
[tex]\sf f(-6) =\dfrac{2}{3}*(-6)-4\\\\[/tex]
= 2*(-2)-4
= -4 - 4
f(-6) = -8
NEED HELP ASAP!!!!!!
You would like to estimate the proportion of all students in your school who have traveled to a foreign country. You poll a random sample of students and get a sample proportion of 0.18. Explain why the standard error of the sampling distribution of the sample proportion helps you gauge how close this sample proportion is to the unknown population proportion.
Answer:
I do not know. sorry I couldn't help
What are practical situations of geometric series.
Answer:
One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing
Answer:
Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).
Step-by-step explanation:
A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with [tex]r=\frac{a_n}{a_{n-1}}[/tex]. For example, [tex]a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}[/tex]
Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.
A geometric sequence can be used to model compound interest. An example of this is [tex]A = P (1 + \frac{r}{100})^n[/tex] where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.
HELP PLS
The function of F is defined by f(x)=x+2
find F(n-4)
Answer:
Step-by-step explanation:
f(n - 4)= n - 4 + 2 = n - 2
What is the perimeter of rhombus ABCD?
10 units
20 units
2√7 units
4√7 units
Answer:
The perimeter of the rhombus is 20 units
Step-by-step explanation:
One important fact about a rhombus is that all four of its sides are equal, so we only need to solve for one side in order to find the perimeter. We can use the Pythagorean Theorem to solve the side length of the rhombus. Using line AD as a reference, we know that the length of AD is the square root of the change in x squared plus the change in y squared, or [tex]\sqrt{3^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex] units. Multiply the length of AD by 4 and you'll get that the perimeter of rhombus ABCD is 5 × 4 = 20 un.
The perimeter of the rhombus ABCD is 20 units.
Option B is the correct answer.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add upto 180 degrees.
We have,
We can use the distance formula to find the length of each side of the rhombus, and then add them up to find the perimeter.
The distance between points A and B is:
[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\= \sqrt{(-2 - 1)^2 + (-3 - 1)^2}\\ = \sqrt{9 + 16}\\= \sqrt(25) \\= 5[/tex]
The distance between points B and C is:
[tex]BC = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\= \sqrt{(-5 - (-2))^2 + (1 - (-3))^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\= 5[/tex]
The distance between points C and D is:
[tex]CD = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(-2 - (-5))^2 + (5 - 1)^2}\\ = \sqrt{9 + 16}\\ = \sqrt{25}\\ = 5[/tex]
The distance between points D and A is:
[tex]DA = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(1 - (-2))^2 + (1 - 5)^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\ = 5[/tex]
Since a rhombus has all sides of equal length, we can add up the lengths of the sides to find the perimeter:
P = AB + BC + CD + DA = 5 + 5 + 5 + 5 = 20
Therefore,
The perimeter of the rhombus ABCD is 20 units.
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Having trouble with this, pretty sure the answers i have in there are wrong, please help. especially need help with the last question , thank you
The year in which the two quantities will be equal is 2133.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have the following data.
y=0.221x-368.264 For men
y=0.168x-255.196 for women
So when we will equate these two equation we will get the year in which two quantities will be same.
0.221x-368.264=0.168x-255.196
0.221x-0.168x=368.264-255.196
0.053x = 1123.068
x= 2133 year
Hence the year in which the two quantities will be equal is 2133.
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What are the values of x and y?
Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
PLEASE I NEED THIS
determine the value of θ to the nearest degree
csc θ = 1.2711
the answer in my textbook is 52 degrees, but i've no idea how they got that.
p.s i need this asap - will give brainliest!!! thank u!!
Answer:
See below
Step-by-step explanation:
[tex]\csc\theta=1.2711\\\\\frac{1}{\csc\theta}=\frac{1}{1.2711}\\ \\\sin\theta=\frac{1}{1.2711}\\ \\\theta=\sin^{-1}(\frac{1}{1.2711})\\\\\theta\approx51.88^\circ\approx52^\circ[/tex]
Remember the identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so [tex]\sin\theta=\frac{1}{\csc\theta}[/tex] and it makes the problem easier. Just remember to take the inverse sine (let me know if you are not sure what that means).
The value of the θ in csc θ = 1.2711 is 51.88°.
What is trigonometric ratio?A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.
Given csc θ = 1.2711, we need to find the value of θ,
So, csc θ = 1.2711
θ = csc⁻¹(1.2711)
θ = 51.88°
Hence, the value of the θ in csc θ = 1.2711 is 51.88°.
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Consider figures 1 through 4 on the coordinate plane.
The true statement about the coordinate plane is C. Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2.
What is a coordinate plane?A coordinate plane simply means a two dimensional plane that's is formed by the intersection of a vertical line.
In this case, the true statement about the coordinate plane is that Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2 using a sequence of rigid transformation.
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The class was divided into 4 teams. Each team had 5 players. The
remaining class members- Ty, Keesha, and Sam- served as score keepers.
How many students were in the class?
EASY QUESTIONS EASY POINTS!!
Answer:
23 players.
Step-by-step explanation:
5 x 4 + 3 = 23
how do you write 10^3 / 10^7 in standard form for properties of exponents
Answer:
1 / 10000
Step-by-step explanation:
10^3 / 10^7
apply exponent rule: x^a / x^b = x^(a-b)
10^3 / 10^7 where a = 3 and b = 7
10^(3 - 7) = 10^(-4)
apply exponent rule: a^-b = 1 / a^b
1 / 10^(4)
10^4 = 10000
1 / 10000
Let me know if you have any questions !
AND WELCOME TO BRAINLY :)
Answer:
10^-4
Step-by-step explanation:
In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4
Can someone help. I literally forgot this how
Answer:
Below.
Step-by-step explanation:
The 2 triangles are congruent ( By 2 angles and corresponding side).
The 2 marked angle are congruent so
5y - 30 = 2y + 6
3y = 36
y - 12.
So m < O = 5(12) - 30 = 30 degrees.
and m <N = 180 - 30 - 90 = 60 degrees, (as there are 180degrees in triangle)
EN = IV = 14.
It is possible to find the measure of OE and ON by using trigonometry of a right triangle.
tan 30 = EN / OE
OE = EN / tan30
= 14/tan30
= 24.3.
sin 30 = 14/ON
ON = 14 / sin 30
= 28.
Which is true about the line whose equation is y + 3 = 0?
The slope is 3.
The y-intercept is 3.
The slope is zero.
The value of x always equals the value of y.
Answer:
The slope is 0
Step-by-step explanation:
Solve the equation for y
y+3=0
y = -3
The slope intercept form is
y = mx+b
where m is the slope and b is the y intercept
y = 0x-3
The slope is 0 and the y intercept is -3
Answer: The Slope Is 3
Step-by-step explanation:
You are missing the x after the 3.
considering the linear equation y=mx+b, the coefficient of x is ALWAYS the slope (rate of change)
Find the approximate values of the five-number summary for the data set represented by this box plot.
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Answer:
Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
Find the area of the figure. Round to the nearest hundredth where necessary.
24 m
28 m
whats the mean and median of 13, 1, 17, 6, 2, 111, 3?
Answer:
111
Step-by-step explanation:
Which function has zeros of -8, 1, and 3?
Answer:
A?
Step-by-step explanation:
(x-3) (x+8)(x-1) would be the solution