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STatiana [176]
2 years ago
15

48+2x a la 2 -x a la 4

Mathematics
1 answer:
galben [10]2 years ago
3 0

Answer: −a5lx+2a3lx+48 (assuming that the a and the la are variables)

Step-by-step explanation:

48+2xala2−xala4

=48+2a3lx+−a5lx

=−a5lx+2a3lx+48

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Order of operations (41-3^2)-(4+4)
ladessa [460]

Order is operation is PEMDAS which means Parentheses, Exponents Mulitiplication,division,Addition and Subtraction so you follow the order whether they exist or not.

So (41-3^2)-(4+4)=

41-9-8 = 32-8 = 24

8 0
2 years ago
Estimate the perimeter of the figure to the nearest tenth.
Vlad [161]

Answer:

The Perimeter of the Figure to the nearest tenth is 18.7 units

Step-by-step explanation:

Please note I have attached an edited version of your sketch to aid my solution. Now this question can be solved in multiple ways. Here, we shall see one of them. Looking at the original sketch, we can see that the figure is actually a combination of a Triangle (Figure 1 in my sketch) and a rectangle (Figure 2 in my sketch). So we can simply find the sides of a Triangle and the sides of a Rectangle and add them. Perimeter on Figure 1:The Perimeter of a Triangle is given by the Sum of the three sides as:

AT=a+b+c

Perimeter on Sketched Figure:The perimeter of the total figure will be two sides of the triangle and the three sides of the rectangle (as the one adjacent between Fig. 1 and 2 can not be taken into account). Thus we need to find 5 different sides and add them together. Now since the figure is on a graph paper, we can read of the size of some sides, thus the left side of the triangle is  units and the base of the triangle is also  units. Now to find the last unknown side we can take Pythagorian theorem, since our triangle is a Right triangle, (i.e. one angle is 90°). Pythagoras states that the squared of the hypotenuse of a right triangle is equal to the sum of the squares of the other two legs of the triangle (where the hypotenuse side is always across the 90° angle. So here we can say that: where  is the hypotenuse and our unknown side. So plugging in values and solving for   we have: units.

Perimeter on Figure 2:

The Perimeter of the Rectangle is given by:

Ar=2(w+l)

3 0
2 years ago
Solve a triangle when A=15° B=113° and b=7?
JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}

Apply Sine rule in the triangle ABC, we get

\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71

Therefore, we have

a=1.97\\
c=6.71\\
C=62^{\circ}


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Tonis donation is 3 times longer (6 x 3 = 18)
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3 years ago
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Ari stocks shelves at a grocery store. He puts 35 cans of juice in each display case. The case has 4 shelves with an equal numbe
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In one display case there are 5 shelves in it. It was said that 4 shelves stores equal number of juice cans in it while the other one has only 3 cans. As a whole, Ari has 35 cans of juice. By placing 3 in one of the shelves, we can deduct it from 35 or (35 minus 3) so what we now have is 32 pieces of juice cans left to be equally distributed in the 4 shelves left. The equation will now be 32 divided 4 or 32/4 which will be equal to 8. So in each shelf from the 4 shelves will store 8 cans of juice equally. 
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2 years ago
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