what's the sum of 3/8 and 1/16? a. 1/6 b. 7/16 c. 4/24 d. 1/4​

Answer:

3.30709

Step-by-step explanation:

FORMULA :

divide the length value by 2.54

8.4 ÷ 2.54

= 3.30709

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

learn more on right triangle here: https://brainly.com/question/27309330

Answer:

$1125

Step-by-step explanation:

Check the attachment.

Answer:

Interest = 2000

Total = 4000

Step-by-step explanation:

The formula to find interest:

Interest = Original Amount x Rate x Time.

Substitute the numbers into the formula.

I = 2000 x 0.05 x 20

You must change the percentage to a decimal.

Solve for I

I = 2000 x 0.05 x 20 = 100 x 20 = 2000

The interest is $2,000. To find the amount in total after 20 years, add the interest with the original amount.

2000 + 2000 = 4000

I hope this helps and please mark me as brainliest!

Answer:

  1/14

Step-by-step explanation:

In the given geometry, we have similar triangles:

  ΔCEF ~ ΔBEA ~ ΔDAF

This lets us write the relations for corresponding sides ...

  CF/CE = DF/DA

where DF = CF -CD

We can rearrange this relation to give the value we're looking for as follows.

__

Making the substutition for DF, and multiplying by CE, we have ...

  CF = CE(CF -CD)/DA

Both DA and CD are sides of the rhombus, so are both 14 cm in length. Multiplying by DA and making the number substitution, we have ...

  DA·CF = CE·CF -CE·CD

  14·CF = CE·CF -14·CE . . . . substitute 14 for DA and CD

  14(CF +CE) = CE·CF . . . . . add 14·CE

  (CF +CE)/(CE·CF) = 1/14 . . . . divide by 14·CE·CF

  1/CE +1/CF = 1/14 . . . . . . . . . simplify

Answer: Its negetive. The answer is -52d^2

Hope this helped you!

Answer:

Step-by-step explanation:

[tex]-12\ d^{2}+-40\ d^{2} = -12\ d^{2}-\ 40\ d^{2} = -52\ d^{2}[/tex]

Since −52 is negative and d² is always positive for any number d

Then ,their product −52 d² is negative .

Answer: -[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

      To solve this question, I am going to first put the equation into slope-intercept form.

      2x + 12y = -192

      12y = -2x - 192

      y = -[tex]\frac{2}{12}[/tex] - 16

      y = -[tex]\frac{1}{6}[/tex] - 16

      Now that the first equation has an easily identifiable slope, we can answer the question. Parallel lines will have the same slope, so that means the answer will be:

             -[tex]\frac{1}{6}[/tex]

Answer: 1/-6

Step-by-step explanation:

i had this equation

Answer:

UW = 97 cm

Step-by-step explanation:

UW is congruent to VX and VX is 97 cm so UW would be 97 cm

Answer:

97

Step-by-step explanation:

As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.

Hope This Helps! :) Please Mark as Brainliest!

Answer:

The answer is "A" i think not 100% sure

tell me if wrong

I don't know the answer so help

So, here we need to differentiate tan³[tex](\theta)[/tex], wr.t.[tex]\theta[/tex], but let's recall some identities which will be very useful in this question :

Coming back on the question, consider :

[tex]{:\implies \quad \sf \dfrac{d}{d\theta}\{\tan^{3}(\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{3-1}(\theta)\dfrac{d}{d\theta}\{\tan (\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\sec^{2}(\theta)}[/tex]

Using the identity ;

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)\{1+\tan^{2}(\theta)\}}[/tex]

[tex]{:\implies \quad \sf 3\tan^{2}(\theta)+3tan^{4}(\theta)}[/tex]

[tex]{:\implies \quad \sf 3\tan^{4}(\theta)+3\{\sec^{2}(\theta)-1\}}[/tex]

[tex]{:\implies \quad \boxed{\bf 3\tan^{4}(\theta)+3\sec^{2}(\theta)-3}}[/tex]

Hence, Proved

Answer:

I think it should be 80-89.

Because the mode can't be between 70 and 70 that wouldn't make sense. Basically 70 and 70 will equal 0 in between so it wouldn't be the best choice.

Answer:

7/6

Step-by-step explanation:

[tex] \frac{ \frac{x}{4} + \frac{x}{3} }{ \frac{x}{2} } = \frac{x( \frac{1}{4} + \frac{1}{3} )}{ x(\frac{1}{2}) } \\ = \frac{ \frac{1}{4} + \frac{1}{3} }{ \frac{1}{2} } \\ = \frac{14}{12} = \frac{7}{6} [/tex]

Answer:

7/6

Step-by-step explanation:

X = 2 because 2x3=6 and the three is from x/3 then 4+3=7 and then 7 would be the denominator and 6 would be the numerator. You should get 7/6

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

rate my answer

The number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

The quantity of strawberries needed for each fruit drink= 3/5 cup

The quantity of blueberries needed for each fruit drink = 1/5 cup

Therefore the total quantity of fruits needed for each drink = 3/5 + 1/5

= 4/5

If 4/5 = 1 fruit drink

X = 6 fruit drinks

Make X the subject of formula,

X = 4/5 × 6

X = 24/5

X= 4 ⅘

Therefore, the number of cups of fruit Allison will need is = 4 ⅘ cups of fruits

Learn more about calculation of total quantity here:

https://brainly.com/question/13864606

Evaluando la función dada, veremos que la dosis para el niño debe ser 640 mg.

La funcion que debemos utilizar es:

d = 0.08*A*D

Donde, A es la edad del niño, en este caso: A = 8

D es la dosis correspondiente para un adulto, D = 1,000 mg

Reemplazando eso obtenemos:

d = 0.08*8*1,000mg = 640mg

Así, podemos concluir que al niño se le debe recetar una dosis de 640 mg.

Sí quieres aprender más sobre evaluaciones, puedes leer:

https://brainly.com/question/4344214

Answer:

y=x/2

Step-by-step explanation:

hope u have a good day! pls give brainliest

Answer:

$1.50

Step-by-step explanation:

24 - 6 = 18

18/9 = cost of 1 ride

cost of 1 ride = $2

2 carnival games = 3 x 2 = $6

18 - 6 = 12

12 - 3.5 = $8.50

five rides cost = 5 x $2 = $10

10 - 8.5 = $1.50

~Denki Kaminari here~

6 + 2³ - 4  ×  3 = 500

The parentheses will most likely go before the exponent because that will raise your number up higher.

(6 + 2)³ - 4  ×  3 = 500

(8)³ - 4 × 3 = 500

512 - 12 = 500

500 = 500

So the parentheses will go around the (6 + 2).

hope this helps :D

Answer:

OK, Well to solve this first,

Set up a ratio:

height of the student/student shadow length = height of the monument/monument shadow length

height of the monument = x

6ft./4.75ft =  x/435ft.

cross multtiply

6 * 435 = 4.75x

2610 = 4.75x

divide by 4.75 to both sides

2610/4.75 = 4.75x/4.75

549.47 = x

There you go Slide Brainliest Please

Step-by-step explanation:

A line of best fit is a straight line drawn through the maximum number of points on a scatter plot balancing about an equal number of points above and below the line.It is used to study the nature of relation between two variables.

Solution:

Draw a line through the maximum number of points, balancing about an equal number of points above and below the line. Make sure the number points above and below the line are almost same

Answer:

The one above the orange answer in the picture

Step-by-step explanation:

85% of 20 is 17 every thing else is not 85%

The correct answer would be the one on top left

Answer:

1/5 is the answer in my calculations

Answer:

9, 40, and 42

Step-by-step explanation:

Answer:

9, 40,and 42 is the answer

Step-by-step explanation:

Answer:

X=97

Step-by-step explanation:

The formula for the Pythagorean Theorem is:

[tex]\sqrt{a^2+b^2}=c[/tex]

Now,

A=65

B=72

72x72=5184

65x65=4225

4225+5184=9409

Last,

Take the square root of 9409.

The square root is 97.

Therefore, the hypotenuse is 97.

To check, use the equation:

[tex]a^2+b^2=c^2[/tex]

A=65

B=72

C=97

72x72=5184

65x65=4225

97x97=9409

5184+4225=9409

9409=9409

Therefore, the missing side, which is the hypotenuse, is 97.

Answer:

97

Step-by-step explanation:

Given:

Definition:

To find:

Pythagorean Theorem:

[tex]\displaystyle \large{a^2+b^2=c^2}[/tex]

Determine:

Note:

Therefore, substitute given information in:

[tex]\displaystyle \large{65^2+72^2=x^2}[/tex]

Evaluate:

[tex]\displaystyle \large{4225+5184=x^2}\\\displaystyle \large{9409=x^2}[/tex]

Square Root both sides:

[tex]\displaystyle \large{\sqrt{9409} = \sqrt{x^2}}[/tex]

Cancel the squared x, add plus-minus:

[tex]\displaystyle \large{\pm \sqrt{9409} = x}[/tex]

Simplify the surd:

[tex]\displaystyle \large{\pm 97 = x}[/tex]

However, side length is a scalar value so it cannot be negative nor have negative values. Therefore:

[tex]\displaystyle \large{x=97}[/tex]

Hence, the value of x is 97

Answer:

3/16

Step-by-step explanation:

Prove that sin 20 ×sin40 × sin60 × sin80 = 3/16.

We have to prove sin 20 × sin40 × sin60 × sin80 = 3/16.

Consider LHS

sin 20 × sin 40 × sin60 × sin80

Sin Values

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle. The sine function is used to find the unknown angle or sides of a right triangle.

We know the trigonometric values of sin function

Proof

Consider LHS

sin 20 × sin 40 × sin60 × sin80

= sin60 [sin20 × sin40 × sin80]

= √3/2[sin20 × sin(60 – 20) × sin(60 + 20)]

= √3/2[sin 3(20)/4]

= √3/2[sin 60/4]

= √3/2[√3/2 × 4]

= √3/2 × √3/8 =  3/16

∴ LHS = RHS

Hence proved