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3 years ago

Find the angle measure x in the given figure. 70° 45° 60° 55°

Mathematics

2 answers:

Contact [7]3 years ago

7 0

Answer:

60°

Step-by-step explanation:

In a four-sided shape, the total angle measures 360°.

So,

50 + 130 + 120 + x = 360

300 + x = 360

x = 360 - 300

x = 60°

oee [108]3 years ago

4 0

The inside angles of a 4 sided shape when added together equal 360.

X = 360 - 50-130-120

X = 60 degrees.

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All the edges of a cube have the same length. Tony claims that the formula SA = 6s, where s is the length of

Darina [25.2K]

Answer:

Here's what I get

Step-by-step explanation:

a. Net of a cube

Fig. 1 is the net of a cube

b. Does the formula work?

Tony's formula works if you ignore dimensions.

There are six squares in the net of a cube.

If each side has a unit length s, the total area of the cube is 6s.

c. Will the formula work for any rectangular prism?

No, because a rectangular prism has sides of three different lengths — l, w, and h — as in Fig. 2.

d. Area of a rectangular prism

A rectangular prism has six faces.

A top (T) and a bottom (b) — A = 2×l×w

A left (L) and a right (R) — A = 2×l×h

A front (F) and a back (B) — A = 2×w×h

Total area = 2lw + 2lh + 2wh

If l = 5 m, w = 6 m and h = 8 m,

$\begin{array}{rl}A &=& \text{2$\times$ 5 m $\times$ 6 m + 2$\times$ 5 m $\times$ 8 m + 2 $\times$ 6 m $\times$ 8 m}\\&=& \text{60 m}^{2} + \text{80 m}^{2} + \text{96 m}^{2}\\&=& \textbf{236 m}^{2}\\\end{array}$

8 0

3 years ago

One number is 2 more than 3 times another. their sum is 22. find the numbers.

kramer

This question is asking for the value of two numbers, which we can label as:

#1 = x
(Any value we do not know can be represented with a variable)
#2 = 3x + 2
("2 more" means + 2, and "3 times" means multiply by 3. The "another" is the variable we talked about before. Combining everything we have 3x + 2).

The last piece of information we are given is that the sum of the two numbers is 22. The word sum indicates that we need to add the two numbers, and when they added they will equal the integer 22.
(x) + (3x + 2) = 22
x + 3x + 2 = 22
Combine like terms
4x + 2 = 22
Subtract 2 from both sides
4x = 20
Divide 4 from both sides
x = 5

This sole value of "x" already gives us the value of the first number. Since our second number is "3x + 2", all we have to do is plug in the value of x into the expression.

3x + 2 = 3(5) + 2 = 15 + 2 = 17
The second number is 17.

Final Answer: The two numbers are 5 and 17.
(If you want to check, add the two numbers and make sure they add up to 22 and multiply 5 by 3 and add 2.)

8 0

3 years ago

Read 2 more answers

1,2,2,4,8,32,? what comes next?

viktelen [127]

Answer:

Step-by-step explanation:

1 x 2 = 4

4 x 2 = 8

8 x 2 = 32

32 x 2 = 64

8 0

2 years ago

Read 2 more answers

Chelsea plays soccer 4/12 of the year and swims 3/12 of the year before taking a break from playing sports what fraction of the

Kay [80]

Answer: 7/12

Step-by-step explanation:

From the question, we are told that Chelsea plays soccer 4/12 of the year and swims 3/12 of the year before taking a break from playing sports.

The fraction of the year that Chelsea spend participating in sports will be the addition of the fraction used for playing soccer and the fraction use for swimming. This will be:

= 4/12 + 3/12

= 7/12

4 0

2 years ago

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

2 years ago