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2 years ago

Find the value of x please.

Mathematics

1 answer:

MariettaO [177]2 years ago

4 0

Answer:

79°

Step-by-step explanation:

The sum of the interior angles of a quadrilateral (4 sided figure) IS 360.

Take 360 - (101 + 121 + 59)

360 - 281 = 79

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Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. If all si

Tatiana [17]

Answer:

Surface Area = 150

Step-by-step explanation:

The surface area of this triangular prism is the sum of area of all the sides.

Surface Area = triangle 1 (with base 8 and height 3) + triangle 2 (same as triangle 1) + lateral surface 1 (with length 7 and width 5 (calculation shown below)) + lateral surface 2 (same as lateral surface 1) + bottom (side not shown with length 7 and width 8)

Triangle 1 area: $\frac{1}{2}bh=\frac{1}{2}(8)(3)=12$
Triangle 2 area: $\frac{1}{2}bh=\frac{1}{2}(8)(3)=12$
Lateral surface 1 (rectangle): $l*w=(7)(5)=35$
Lateral surface 2 (rectangle): $l*w=(7)(5)=35$
Bottom surface (rectangle): $l*w=(7)(8)=56$

Summing all these gives us the total surface area.

Total surface area = $12+12+35+35+56=150$

**** The triangle shown is divided into half by the perpendicular line (3cm) to the base. So the base is divided in half (4 cm and 4 cm).

Now, we have a right triangle with one leg 4 cm and another leg 3 cm. How do we get the hypotenuse? We use Pythagorean Theorem. Which is:

$leg^2+leg^2=hypotenuse^2\\3^2+4^2=hypotenuse^2\\25=hypotenuse^2\\hypotenuse=5$

Hence, the side length of the hypotenuse is 5 [used above in the calculation]

3 0

3 years ago

Find the area of this trapezoid. Be sure to include the correct unit in your answer. Continue 13 cm 20 cm 8 cm 5 cm 0 0/0 08 cm

kodGreya [7K]

Given:

• Upper Base of trapezoid = 8 cm

• Lower base = 20 cm

• Length of one leg (also height) = 5 cm

• Length of other leg = 13 cm

Let's find the area of the trapezoid.

To find the area of the trapezoid, apply the formula:

$A=\frac{a+b}{2}*h$

Where:

A is the area

a is the length of upper base = 8 cm

b is the length of the lower base = 20 cm

h is the height = 5 cm

Plug in the values for a, b, and h to find the area, A:

$\begin{gathered} A=\frac{8+20}{2}*5 \\ \\ A=\frac{28}{2}*5 \\ \\ A=14*5 \\ \\ A=70\text{ cm}^2 \end{gathered}$

Therefore, the area of the trapezoid is 70 cm^2

8 0

1 year ago

a firm wants to select a group of 8 out of its 20 employees to attend a Business trip .in how many ways can this be done if ther

inna [77]

Answer:

Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.

Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.

Step-by-step explanation:

Given

The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.

Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is

$^7C_{19}$ = 50388

If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is

$^8C_{19}$ = 75582

3 0

3 years ago

Tina says that 3:8 is equivalent to 36:64, what did Tina do wrong

masha68 [24]

She didn't multiple the numbers by the same nuber

6 0

3 years ago

Angle 1 and Angle 2 are complementary angles.

Andrej [43]

Answer:

p = 35

Step-by-step explanation:

Complementary angles sum to 90°

Sum the 2 given angles and equate to 90, that is

20 + 2p = 90 ( subtract 20 from both sides )

2p = 70 ( divide both sides by 2 )

p = 35

7 0

4 years ago