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3 years ago

Oblicz. Pamiętaj o kolejności wykonywania działań. 4,01 – 1,08 : (2,9 + 0,7) =

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

3,71

Step-by-step explanation:

4,01 - 1,08 ÷ 3,6

4,01 - 0,3

3,71

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Find the surface area of the composite solid. Write your answer as a decimal.

IrinaK [193]

Answer:

283.5 cm squared

Step-by-step explanation:

The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.

3 congruent triangles:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of one triangle is 10 and the height is 4. So:

A = (1/2) * b * h

A = (1/2) * 10 * 4 = 20

Since there are 3 such triangles, multiply 20 by 3:

20 * 3 = 60 cm squared

3 congruent rectangles:

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the length is 6 and the width is 10, so:

A = lw

A = 6 * 10 = 60

There are 3 such rectangles, so multiply 60 by 3:

60 * 3 = 180 cm squared

1 base triangle:

Again we use the formula A = (1/2) * b * h for this area.

Here, the base is 10 and the height is 8.7, so:

A = (1/2) * b * h

A = (1/2) * 10 * 8.7 = 43.5 cm squared

Add all these together:

60 + 180 + 43.5 = 283.5 cm squared

The answer is thus 283.5 cm squared.

7 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

5 0

4 years ago

Answer both for ( brain list, thanks, 5 star review)

morpeh [17]

2/12 1/12 i hope this is clear

3 0

3 years ago

What is the remainder when 3x^2-7x+5 is divided by x+5

Bond [772]

answer

f(-5)=115

Step-by-step explanation:

x+5=0

x=-5

f(x)=3x^2-7x+5

f(-5)=3*(-5)^2-7(-5)+5

f(-5)=3*25+35+5

f(-5)=115

5 0

3 years ago

A nurse needs to mix some alcohol solutions, given as a percent by weight of alcohol in water. Thus in a 3% solution, 3% of the

Akimi4 [234]

Find for y and x so you will get the right answer

5 0

3 years ago