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2 years ago

I need help with these two please and tysm

Mathematics

1 answer:

Serhud [2]2 years ago

5 0

Ok so for the first one:
-We know that the 4 angles add up to 360
-3 of the angles are given
-To find the fourth we simply subtract the sum of the 3 angles from 360.

Equation: 120+ 100+ 100 + x = 360
= 320+x= 360

Now by making x the subject
x= 360 - 320
= 40 degrees

The second one follows the same method

150+ 77+ 48+ x =360
275 +x = 360
x= 360-275
x= 85

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the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?

CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0

3 years ago

I need help :( this problem is very confusing

Sladkaya [172]

Answer:

Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD

Step-by-step explanation:

It's arithmetic b/c you're just adding 1

arithmetic

are the answers , the last one is b/c that's the common difference.

6 0

3 years ago

Read 2 more answers

Show that the following functions are probability density functions for some value of k and determine k. Then, determine the mea

lord [1]

Answer:

a) 17.5

b) 15.6

c) 13.3

d) 21.51

Step-by-step explanation:

The given function is equal to:

f(x)=kx^2

where

$\int\limits^y_0 {kx^{2} } \, =1$

where y=23

Clearing k=0.00025

a) $Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.00025x^{2} } \, dx =17.5$

b) $Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2}f(x) } \, dx-17.5^{2} =\int\limits^y_0 {x^{2} *0.00025x^{2} } \, dx -17.5^{2} =321.82-306.25=15.6$

c) The function is equal to:

f(x)=k(1+2x)

$\int\limits^y_0 {k(1+2x)} \, =1$

where y=20

k=0.0024

$Ex=\int\limits^y_0 {xf(x)} \, dx =\int\limits^y_0 {x*0.0024(1+2x)} \, dx =13.3$

d) $Vx=Ex^{2} -(Ex)^{2} =\int\limits^y_0 {x^{2} f(x)} \, dx -13.3^{2}=\int\limits^y_0 {x^{2} *0.0024(1+2x)} \, dx-13.3^{2} =198.4-176.89=21.51$

8 0

3 years ago

Angelina wants to buy the same number of pens and pencils. Pens come in 8 packs and pencils come in packs of 9. What is the leas

andrew11 [14]

Answer:

Angelina should buy 9 packs of pens and 8 packs of pencils.

Step-by-step explanation:

Each pack of pens = 8 pens

Each pack of pencils = 9 pencils.

Also we know that, Commutative Property of Multiplication states that

a x b = b x a for any two numbers a and b.

So, 8 x 9 = 72 = 9 x 8

Hence, she should buy 9 packs of pens, so she will have 9 x 8 = 72 pens.

And she should buy 8 packs of pencils, she will have 8 x 9 = 72 pencils.

7 0

3 years ago

Last month, at a tax free sale, joy bought 4 new blouses that cost $15.95 each and 2 new belts that cost $8.95 each. How much di

Olenka [21]

Answer:

$81.70

Step-by-step explanation:

15.95 x 4 = 63.80

8.95 x 2 = 17.90

63.80 + 17.90

8 0

3 years ago