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STALIN [3.7K]
2 years ago
5

Skip-count to find the unknown area. Write a multiplication sentence for each tiled rectangle. You can use any color below to co

mplete each tile.
Mathematics
1 answer:
Vikki [24]2 years ago
5 0

Answer:

(a) Length= 3cm   Width = 6cm   Area = 24cm^2

(b) Length= 3cm   Width = 8cm     Area= 24cm^2

Step-by-step explanation:

Given

See attachment for rectangle

Solving (a):

From the first rectangle, there are 6 columns and 3 rows.

This implies that:

Length= 3cm

Width = 6cm

So, the area is:

Area = Length * Width

Area = 3cm * 6cm

Area = 18cm^2

Solving (a):

From the first rectangle, there are 3 rows and the total area is 24.

This implies that:

Length= 3cm

Area= 24cm^2

Area is:

Area = Length * Width

24cm^2= 3cm * Width

Make Width the subject

Width = \frac{24cm^2}{3cm}

Width = 8cm

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What are the factors of 2x + 3x - 54? Select two options
tiny-mole [99]

Answer:

The answer: The factors are (2x-9) and (x+6).

The Problem:

Factor 2x^2+3x-54

Step-by-step explanation:

So I'm going to do trial factors using the choices to aid me.

Factored form for this problem if it exist will be in the form:

(mx+n)(kx+p).

In general this is what it would look like if we factored any quadratic in terms of x (given the quadratic is not prime but technically you could factor even over the complex numbers).

Let's look at:

(mx+n)(kx+p)

We want to choose k \text{ and } m such that when you multiply them you get 2.  Well those would have to be 2 and 1.

(2x+n)(x+p)

we want to choose n \text{ and } p such that when you multiply them you get -54. Based on the choices we want to get with -9 and 6, or 9 and -6. We don't know the order we want to choose it in either.

For example which of these would work:

(2x-6)(x+9)

(2x+6)(x-9)

(2x-9)(x+6)

(2x+9)(x-6)

We are going to consider only the outer and inner of FOIL since we already know the first times the first is 2x^2 and the last times the last is -54.

Let's test the first one:

(2x-6)(x+9)

Outer:  2x(9)=18x

Inner: -6(x)=-6x

------------------------ADD!

18x-6x=12x

The first choice did not give us the middle term 3x.

Trying the second one would give us the opposite since they are in the same form as previous just the + and - are switched.

Let's look at the third one:

(2x-9)(x+6)

Outer: 2x(6)=12x

Inner: -9(x)=-9x

--------------------------ADD!

12x-9x=3x

This is the winner.

The answer: The factors are (2x-9) and (x+6).

7 0
2 years ago
Read 2 more answers
If sally wants to have 400 square yards of carpet installed which company would be cheaper?
Nina [5.8K]

Answer: country carpets are cheaper

Step-by-step explanation:

6 0
2 years ago
The measures of two complementary angles have a ratio of 3:2 what is the meusure of the larger angle
ozzi

Answer:

54

Step-by-step explanation:

The two angles add to 90 degrees since they are complementary

the ratio is 3:2

Multiply by x

3x:2x

Add them together and set equal to 90

3x+2x=90

5x=90

Divide each side by 5

5x/5 = 90/5

x = 18

The first angle is 3*18 = 54

The second angle is 2*18 = 36

4 0
3 years ago
Put<br> 4y+x=-1 into y-intercept form and show how you did it.
artcher [175]
4y+x= -1
-x -x
—————
4y=-x-1
— ——
4 4
=======
Y= -1/4x - 1/4
Hoped this helps
3 0
3 years ago
In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
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