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zlopas [31]
2 years ago
10

Tamara rewrote the expression 0.2(4+1.4y - 2.1). Her steps are shown.

Mathematics
1 answer:
grin007 [14]2 years ago
4 0

Answer:

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

Step-by-step explanation:

CORRECT WAY:

0.2(4+1.4y - 2.1)

0.8 + 0.28y - 0.42

0.8 - 0.42 + 0.28y

0.38 + 0.28y

WHAT TAMARA DID:

0.2(4+1.4y - 2.1)

How she got 4.2: 0.2 + 4 = 4.2

How she got 1.6y: 0.2 + 1.4y = 1.6y

How she got -1.9: 0.2 + -2.1 = -1.9

WHAT SHE DID HERE IS WRONG. REMEMBER WHEN IT IS __( ______) IT MEANS THAT YOU NEED TO MULTIPLE NUMBER OUTSIDE THE PARATNESS TO EVERY NUMBER THAT IS INSIDE THE PARATNESS.

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PLZ HELP ASAP!!
Lilit [14]

The measure of first angle is 34 degrees and measure of second angle is 56 degrees

<em><u>Solution:</u></em>

Given that, the exterior sides of two adjacent angles make a right angle

Therefore, these adjacent angles forms 90 degrees

Let the second angle be "x"

The first angle has a measure that is six more than half the second

Therefore,

first angle = 6 + half of "x"

\text{ first angle } = 6 + \frac{x}{2}

Since these two angles forms 90 degrees,

first angle + second angle = 90

x + 6 + \frac{x}{2} = 90\\\\\frac{2x + 12 + x}{2} = 90\\\\2x + 12+x = 180\\\\3x + 12 = 180\\\\3x = 180 - 12\\\\3x = 168\\\\x = 56

<em><u>Therefore, first angle is:</u></em>

\rightarrow 6 + \frac{56}{2} = 6 + 28 = 34

Thus measure of first angle is 34 degrees and measure of second angle is 56 degrees

6 0
3 years ago
Rearrange the formula below to make x the subject. α y+1=2x - 10/x+1​
zaharov [31]

Answer:

cross multiplication

x

7 0
2 years ago
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture thi
bonufazy [111]

Answer:

The correct answer will be "0.756596 m²".

Step-by-step explanation:

The given values are:

The radius of an umbrella,

r = 0.4 m

The height of an umbrella,

h = 0.45 m

As we know,

The lateral surface of an umbrella will be:

⇒  \pi r\sqrt{r^2+h^2}

On substituting the values, we get

⇒  \pi \times 0.4\sqrt{(0.4)^2=(0.45)^2}

⇒  0.756596 \ m^2

So that the amount of fabric needed will be "0.756596 m²".

7 0
3 years ago
PLEASE FOR 100 POINTS!!! PLEASE!!!
tiny-mole [99]

Answer:

\Large \boxed{\sf 956.56 \ mm^2}

Step-by-step explanation:

Surface area → area of 2 bases + area of 6 rectangles

Area of base is given

Area of rectangle → length × width

\left(2\cdot 166.28\right)+\left(8\cdot 13\cdot 6\right)=956.56

3 0
2 years ago
Read 2 more answers
-3√45+3√20<br>SHOW HOW YOU GOT YOUR ANSWER​
Juli2301 [7.4K]

-3√45 + 3√20 = -3√(9 · 5) + 3√(4 · 5) =

= -3√(3² · 5) + 3√(2² · 5) =

= -3 · 3√5 + 3 · 2√5 =

= -9√5 + 6√5 = -3√5 ← the end

4 0
2 years ago
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