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I need to find the missing angle, the letter represents the missing angle.

Hey ! there

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 ,

SOLUTION : -

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]

Verifying : -

Now we are checking our answer by putting all values in formula . So ,

Therefore , our answer is correct .

Answer :

[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,

[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,

Answer:

Estimate the cost of painting a concrete patio if it is a 14 foot by 8 foot rectangle is $25.76

Step-by-step explanation:

Underline is the given:

a concrete patio if it is a 14 foot by 8 foot rectangle

area of the concrete patio: 14ft x 8ft = 112

quart of paint that covers 47 square feet costs $10.99

the cost per foot: 10.99 / 47 = $0.23

the area is 112 so multiply it by cost per foot:

112 x $0.23 = $25.76

The estimated cost of painting the concrete patio is approximately $32.97.

To estimate the cost of painting a concrete patio, we first need to calculate the total area of the patio. The patio is a rectangle with dimensions 14 feet by 8 feet, so the total area is 14 feet × 8 feet = 112 square feet.

Next, we determine how many quarts of paint are needed to cover the patio. Since each quart covers 47 square feet, we divide the total area by 47:

112 square feet ÷ 47 square feet/quart ≈ 2.38 quarts

Since we can't purchase a fraction of a quart, we'll round up to 3 quarts.

Finally, with each quart costing $10.99, the estimated cost of painting the concrete patio is:

3 quarts × $10.99/quart = $32.97

So, the estimated cost of painting the concrete patio is approximately $32.97.

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It is dependent. Without the function of the variable (X), we wouldn’t understand the value of Y.

f - green (A)

f' - red (B)

f'' - blue (C)

The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

Answer: I dont know

Step-by-step explanation:  i need more information

The annual growth rate in the price of the apple will be 7.83%.

The growth rate is defined as the increment of any quantity over a period of time.

Given that:-

The growth rate will be calculated as::-

Growth rate =  Cost in 2017  /  Cost in 2015

Growth rate =  1.55  /  1.34  =  1.15

The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be

15.67 / 2 = 7.8%

Therefore the annual growth rate in the price of the apple will be 7.83%.

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Answer:

d

Step-by-step explanation:

Answer:

£3263.98 (nearest penny)

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the formula and solving for A:

[tex]\implies \sf A=2900(1+\frac{0.03}{1})^{1 \times 4}[/tex]

[tex]\implies \sf A=2900(1.03)^{4}[/tex]

[tex]\implies \sf A=3263.975549[/tex]

Therefore, Colin will have £3263.98 after 4 years (to the nearest penny).

Answer:

$3264

Explanation:

[tex]\sf compound \ interest : P(1+\frac{r}{100} )^n[/tex]  
"P" is principal, "r" is rate of interest, "n" is time (years)

Here given:

After 4 years amount:

[tex]\rightarrow \sf 2900(1+\frac{3}{100})^4[/tex]

[tex]\rightarrow \sf 2900(1.03)^4[/tex]

[tex]\rightarrow \sf 3263.9755[/tex]

[tex]\rightarrow \sf 3264[/tex]  (rounded to nearest whole number)

Answer:

[tex]y=\frac{4}{3} x-9[/tex]

Step-by-step explanation:

Here this is in standard form. Hope this helps!

Answer:

y=4/3x-9

Step-by-step explanation:

equasion for linear function is y=mx+b where y is m is slope and b is y intercept. just plug in your variables

Answer:

25

Step-by-step explanation:

area of the rhombus=1/2×d1×d2

1/2×5×10

=25

B. This is the graph of a function, but it is not one-to-one

A function is a type of graph that has a specific relationship between the x and y values.

Vocabulary

First, let's define the words that were used in the answer choices.

Finding a Function

There are different ways to find if a relationship is a function, but with a graph, the easiest way is the vertical line test. The vertical line test is when you draw vertical lines over your graph. If you are able to draw a vertical line everywhere without that line crossing the graph more than once, then the graph is a function.

In this graph, there is no spot in which a vertical line would intersect with the graph more than once. Since it passed the vertical line test, this must mean that x-values never repeat. Thus, this is a function.

Finding a One-To-One Function

Now that we know this is a function, we need to find if this is a one-to-one function. Once again, this can be done multiple ways, but one way is the horizontal line test. This test is similar to the method above; however, horizontal lines are used. In this test, you draw horizontal lines are drawn on the graph. If you can draw a horizontal line at every value without the line intersecting more than once, then it is a one-to-one function.

On this graph, if you were to draw a horizontal line at any of the y-values between 0 and 6, then the line would intersect multiple times. This means that y-values do repeat. Thus, this is not a one-to-one function.

Apply Pythagorean theorem

Answer: x=7.7, y=40

3/x = 15/38.5

38.5*3=115.5

115.5/15= 7.7

x=7.7

3/8 = 15/y

15*8=120

120/3= 40

y=40

orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7

Answer:

$212.55

Step-by-step explanation:

hope it helps and give brainliest

The correct value in this function is f(21) = 157

This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.

– The given function being f(x) = 8x - 11, replace X by 21:

f(x) = 8x - 11

f(21) = 8 . 21 - 11

– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:

f(21) = 8 . 21 - 11

f(21) = 168 - 11

f(21) = 157

Therefore, the correct value of this function will be f(21) = 157

Answer:

1050 miles

Step-by-step explanation:

velocity=distance/time

Distance=450 miles

Time=3 hours

Velocity=150 miles/hours

if time is 7 and velocity is 150 distance is 7x150=1050 miles

Answer:y

=

6

(

x

+

5

4

)

2

−

147

8

Use the vertex form,

y

=

a

(

x

−

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

6

h

=

−

5

4

k

=

−

147

8

Find the vertex

(

h

,

k

)

.

(

−

5

4

,

−

147

8

)

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

The only solution is x = 2/3

Answer:

60 degrees

Step-by-step explanation:

As shown, this is a equilateral triangle which has the same angle measures.

According to the Triangle Sum Theorem, the sum of all three angles in a triangle is 180 degrees.

Thus,

180 (The sum of all angles in a triangle) /3 (The amount of angles in a triangle) = 60 degrees.

60 because all of the side are equal so it would be 180 divided by 3.

Answer:

620.097 units

Step-by-step explanation:

1. Consider the following points:

(-71,432) and (511,218)

The objective is to find the distance between these two points using a graphing calculator and round your answers to the nearest thousandth.

Using my knowledge of "Mental Math" I can determine that the final answer is 620.097 units.

Answer:

The given equation results in 1.98, so the answer is D) 2

✏ [tex]\sf Solve[/tex]

[tex]\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98[/tex]

Answer:

1/13

Step-by-step explanation:

Probability (lime chew) :

The probability that the next chew Alang removes from the bag will be lime chew is 1/13.

The likelihood or chance of an event occurring is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

For instance, there is only one outcome (rolling a "6") that result in the desired event, hence the chance of rolling a "6" on a fair six-sided die is 1/6. (rolling a "6"). , there is a 1/6 chance of rolling any other number.

By dividing the number of times a lime chew was chosen by the total number of trials, the likelihood of choosing a lime chew could be computed (26).

The likelihood of choosing a lime chew is; 2/26, which reduces to 1/13 in basic form.

Therefore, 1/13 is the probability.

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Answer:

[tex]y = \frac{1}{2}x + \frac{3}{2}[/tex]

Step-by-step explanation:

Assuming this is a linear equation in the form of [tex]y = mx + b[/tex], we can first solve for the slope using [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], for these points, the slope would be [tex]\frac{1}{2}[/tex]. Now we plug in the points to get the equation:

plugging in (7,5), we get [tex]5 = \frac{1}{2}[/tex] ×[tex]7[/tex] + [tex]b[/tex]

and solving for b, we get b = [tex]\frac{3}{2}[/tex]

therefore, the equation of the line passing through (7,5) and (1,2) is [tex]y = \frac{1}{2}x + \frac{3}{2}[/tex].

hope this helps!

Answer:

Q63. B

Step-by-step explanation:

5 cars = 2 houses

1 house = 10 pools = 2.5 cars

1 car = 10÷2.5 = 4

Answer:

[tex]\sf 207 \ cm^2[/tex]

Step-by-step explanation:

 diameter = 6 cm

             r = 6/2  = 3 cm

            h = 8 cm

         [tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]

                                                      [tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]