brainliest and 50 points!
the dimensions of rectangle ABCD are shown below. (picture included)

A) 4.5
B) 7.5
C) 13.5
D) 19.5​

Answer:

x=4

Step-by-step explanation:

20x-5x=65-5

15x=60

x=60/15

x=4

Answer:

Step-by-step explanation:

In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.

Solution :

[tex] \longmapsto \: 20x + 5 = 5x +65[/tex]

Step 1 : Subtracting 5 on both sides :

[tex] \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}[/tex]

On further calculations, we get :

[tex] \longmapsto \: 20x = 5x + 60[/tex]

Step 2 : Subtracting 60 on both sides :

[tex] \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}[/tex]

On further calculations, we get :

[tex] \longmapsto \:20x - 60 = 5x[/tex]

Step 3 : Transposing 5x to left hand side and -60 to right hand side :

[tex] \longmapsto \:20x - 5x = 60[/tex]

On further calculations , we get :

[tex] \longmapsto \:15x = 60[/tex]

Step 4 : Divide by 15 on both sides :

[tex] \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }[/tex]

On further calculations, we get :

[tex] \longmapsto \: \red{ \boxed{x = 4}}[/tex]

Now, we are verifying our answer by substituting value of x in given equation :

Therefore , our answer is correct

Answer:

how many brothers do you have?

Answer:

The answer is 221/2 or 73 ⅔

Step-by-step explanation:

5 ⅔ = (3 × 5 + 2) ÷ 3 = 17/3

Now,

17/3 × 13 = 221/2 = 73 ⅔

Thus, The answer is 221/2 or 73 ⅔

Answer:

[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].

Step-by-step explanation:

Let [tex]p(x)[/tex] denote the polynomial in question.

The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:

[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].

Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:

[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].

Expand this expression to obtain:

[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

Learn more about newtons law of cooling: https://brainly.com/question/14643865:

Answer:

D 50 liters

Step-by-step explanation:

mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer

Answer:

the graph will be an exponential function that crosses the y-axis at about (0, -4).

Step-by-step explanation:

Answer:

The answer is the first graph.

Step-by-step explanation:

I just did the quiz

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 12.75}}{\left( \cfrac{6}{100} \right)12.75}\implies 0.765~~\approx 0.77~~\textit{about 77 cents}[/tex]

Answer:

  x = 5.4

Step-by-step explanation:

The marked sides are the hypotenuse and the side adjacent to the marked angle. That suggests the appropriate trig function is the cosine:

  Cos = Adjacent/Hypotenuse

  cos(19°) = 5.1/x

  x = 5.1/cos(19°) . . . . . multiply by x/cos(19°)

  x ≈ 5.4

Answer:

Its a parallelogram

Step-by-step explanation:

Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.

Answer:

as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20

Step-by-step explanation:

Answer:

Step-by-step explanation:

24

Answer:

$17.75

Step-by-step explanation:

$71-($71×20%)

$71-$14.2

=$56.8

after coupon code

$56.8-($56.8×5%)

=$56.8-$2.84

=$53.96 about .

then applied a 5% processing fee online.

Answer:

Step-by-step explanation:

Answer:

length * width * height = volume

10 * 2 * 5.5 = 110 cubed inches

Answer: 12

Step-by-step explanation:

Start with 90/10 which gets you 9

Then add 3 and 9 which is 12

Answer:

12

Step-by-step explanation:

Order of operations says to do the division first

90/10 = 9

Then add the rest

9+3 = 12

Answer:

Just use a calculator

Step-by-step explanation:

It's easier :)

Answer:

Given Equation

[tex] \bf \: 25 {x}^{2} - 64[/tex]

we have to factorise the given equation .

We will use the following identity here

Let's factorise it

[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]

Therefore,

So, your answer is (5x+8) ( 5x-8)

Answer:

Area of the trapezoid is 120

Step-by-step explanation:

To find volume of triangular prism the formula is : 1/2 base× height × length

so,1/2 × 7cm × 6cm × 10cm

420cm³/2

= 210cm³

Answer:

C. Students in language arts classes.

Step-by-step explanation:

Because out of all of the options, this one seems like it is the best time that they could get the students attention and get an acurate response.

Answer:

Step-by-step explanation:

Formula

Total number of cookies = number servings * number of cookies in serving

Givens

Number of servings = 16

Number of cookies in each serving=4

Total Mass = 0.5 kg

Solution

Total number of cookies = 16*4

Total number of cookies = 64

Total mass of box = # cookies * mass of 1 cookie

Total Mass of box = 0.5

# cookies = 64

0.5 kg = 64 * mass 1 cookie           Divide by 64

0.5 / 64 = 64*mass 1 cookie/64     Compute

Answer: mass 1 cookie = 0.0078 kg

This question has 2 problems. I think this is the answer you should type in, but it is a mass, not a weight. Since the cookie is using weight for mass, and uses the units of mass, you have to do the same thing.

The units of the answer is not specified. Since the total mass is given in kg, then the units you use must be the same. However grams would be much more sensible. The answer would then be 7.8 grams.

Answer:

  9 cm²

Step-by-step explanation:

Sometimes these inscribed polygon problems respond nicely to a little geometrical thinking. The figure is symmetrical about the vertical line through the center of the square(s).

__

That line of symmetry divides the figure into halves that are twice as tall as wide. That same ratio applies to both the outer square and the inner (blue shaded) square.

In other words, a line from the center of the top segment through either bottom corner of the figure will pass through the corners of both squares. That line will have a slope of ±2, making it easy to find the coordinates of one of the lower corners of the shaded square.

__

Analytically, we can write the equation of the right circle shown in the attachment as ...

  x² +y² = 5²

and the equation of the line as ...

  y = 2x +5

__

Then the x-value of the lower left corner will be found where these intersect.

  x² +(2x +5)² = 25 . . . . . . substitute for y

  x² +4x² +20x +25 25 . . . . eliminate parentheses

  5x² +20x = 0 . . . . . . . . . . . . subtract 25

  5x(x +4) = 0 . . . . . . factor

  x = -4 or 0 . . . . . the x-coordinates of the points of intersection

The y-coordinate of the lower left point is ...

  y = 2(-4) +5 = -3

__

Since the top edge of the blue square has a y-coordinate of 0, this means the square is 3 cm on a side. Its area is ...

  A = s² = (3 cm)² = 9 cm² . . . . area of the blue shaded square

Answer:

19.5 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

14^2 + b^2 = 24^2

196 + b^2 = 576

Now we subtract!!

576 - 196 = b^2

380 = b^2

Now we find the square root!!

[tex]\sqrt{380}[/tex] = 19.5 :)

Have an amazing day!!

Please rate and mark brainliest!!

[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]Answer:

Step-by-step explanation:

just substitute the coordinates into the inequality and solve it.

[tex](-4) > -(-4)-4\\-4 > 4-4\\-4 > 0[/tex]This is false, therefore, (-4,-4) is incorrect

[tex]0 > -(-4)-4\\0 > 4-4\\0 > 0[/tex]0 cannot be greater than 0, therfore (-4,0) is incorrect

[tex]-4 > -(0)-4\\-4 > -4[/tex]-4 cannot be greater than -4, therefore (0,-4) is incorrect

[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]4 is greater than 0 and therefore, (-4,4) is the correct answer

Alternatively, you can draw a graph of the inequality, by considering [tex]y=-x-4[/tex], drawing its graph, and substitute a point that's not on the line, for example, (0,0), to find the region the inequality is in. If the coordinate you substituted in solves the inequality, then the region you choose is the one that the point you substituted in lies in. If the inequality is incorrect, its the other region on the other side of the graph. Once that's done, you can observe if any of the coordinates listed in the question correspond correctly to the relative regions on the graph, and thus choose the correct answer from there.

cheers

Answer: 16

Step-by-step explanation:

The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

[tex]\rm \frac{cos \theta}{sin \theta}[/tex]

we know that

[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]

also,

[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]

So, By using these trigonometry formulas, we get:

 [tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex]  is cot [tex]\theta[/tex].

Know more about trigonometry here:

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Answer:

D. cot 0

Step-by-step explanation: