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3 years ago

Write an equation for the following problem. Then solve the equation and answer the problem.

Mathematics

2 answers:

Naya [18.7K]3 years ago

4 0

Let the 3 numbers be x, x + 1 and x + 2, So:-

x + x + 1 + x + 2 = 21

3x = 21 - 3 = 18

x = 18/3 = 6

The 3 numbers are 6, 7 and 8 Answer

Finger [1]3 years ago

4 0

Let consecutive integers a-1; a; a+1, then

a-1+a+a+1=21

3а=21

a=7.

7-1=6; 7+1=8.

Answer: 6; 7; 8.

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Plzz help me solve questions 15 and 16...!!

iVinArrow [24]

15.

We have right triangles, with the ladder the hypotenuse of both and the wall the opposite side of both.

Call the ladder length h.

Against the wall we have the opposite of alpha the taller one:

$q = h \sin \alpha - h \sin \beta$

On the ground adjacent to beta is the longer one

$p = h \cos \beta - h \cos \alpha$

Dividing

$\dfrac p q = \dfrac{ h \cos \beta - h \cos \alpha }{h \sin \alpha - h \sin \beta} = \dfrac{ \cos \beta -\cos \alpha }{\sin \alpha - \sin \beta} \quad\checkmark$

16.

Again I'm too lazy to draw the figure but you should.

Let's call y the height of the tower and x the distance from the observation point on the ground to the base of the tower.

$\tan 60^\circ = \dfrac y x$

$\tan 30^\circ = \dfrac{y - 40}{x}$

Since $\sin 30 =\cos 60 = \frac 1 2 \textrm{ and } \cos 30 = \sin 60 = \sqrt{3}/2$

$\tan 60^\circ = \sqrt{3} = y/x$

$\tan 30^\circ = 1/\sqrt{3} = (y-40)/x$

Dividing,

$\sqrt{3}/ (1/\sqrt{3}) = (y/x) / ((y-40)/x)$

$3 = y/(y-40)$

$3y - 120 = y$

$2y = 120$

$y = 60$

$x = y/\sqrt{3} = 60(\sqrt{3}/3) = 20 \sqrt{3}$

Answer: Height 60 meters, distance 20√3 meters

5 0

4 years ago

Pls help I’ll give brainliest

Alekssandra [29.7K]

yesssss ?how can i help

3 0

3 years ago

Use the numbers 2,3,5 and 8 to write an expression that has a value of -1. You may use any operations, and you must use each of

MaRussiya [10]

(5 * 2) - (8 + 3) = 10 - 11 = -1

7 0

4 years ago

Read 2 more answers

Mrs. Williams needed to make 4 1/2 of fruit salad for a class party.

ziro4ka [17]

Answer:

strawberry=7/8

Step-by-step explanation:

treat strawberry as x

add on proportions

1 1/8+ 3/4+ 1 3/4 + x = 4 1/2

(9+6+14)/8 + x = 9/2

29/8 +x = 9/2

x= 9/2 - 29/8

x= (36-29)/8

x=7/8

3 0

3 years ago

PLZ ANSWER ILL GIVE BRAINILEST2 box plots. The number line goes from 26 to 36. For Pleasantville Middle School, the whiskers ran

Svetach [21]

Answer:

I believe the answer is- The mean and MAD can accurately describe the "typical" value in the symmetric data set.

Step-by-step explanation:

The other answers don't make sense because the mean and MAD are being used for symmetrical distributions and asymmetrical means uneven distributions.

6 0

3 years ago

Read 2 more answers