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Alenkasestr [34]
3 years ago
5

The interior angles of a triangle have measures kº, 27°, and 10° What is the value of k?

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

k = 143

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, thus

k = 180 - (27 + 10) = 180 - 37 = 143

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1A technical magazine stated that the mean retail cost of all models of a particular laptop was $600. A random sample of 10 stor
My name is Ann [436]

Answer:

Yes

Step-by-step explanation:

Given,

Population mean Z = 600

Sample mean, µ = 586.50

Size of the sample, n = 10

Standard deviation, σ = 26.77

The testing hypothesis is,

Null hypothesis = µ<600

Alternative hypothesis = µ≥600

The test statistics is the calculated value of Z,

(Z- µ)/(σ/√n)

= (600-586.50)/(26.77/√10)

= (13.5*3.1623)/26.77

= 42.691/26.77

= 1.5947

And at 5% level of significance, the table value of Z = 1.644

Here, calculated Z<Table value of Z, so we accept the null hypothesis.

So, the null hypothesis is accepted. The mean value of the laptop is less than 600.

3 0
3 years ago
Solve the proportion<br> h/4=7/14
BabaBlast [244]
H/4=7/14
we cross multiply , so
14*h = 7*4
14h=28
divide by 14 on both sides
h=28/2=2
4 0
3 years ago
100000000000000000000000000000000000000000000000 X 100000000000000000000000000000000000000000000000
AlladinOne [14]

Take all the zero's away and multiply the numbers that are left.

which is 1*1=1 now add all of the zeros to that one which will turn it into

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

which is the answer

8 0
3 years ago
Read 2 more answers
Jolanda started an art project at 9:00
Salsk061 [2.6K]
Duration, time taken, the completion time
8 0
3 years ago
Use the net to compute the surface area of the three-dimensional figure.
Grace [21]

9514 1404 393

Answer:

  382 square units

Step-by-step explanation:

The central four rectangles down the middle of the net are 9 units wide, and alternate between 8 and 7 units high. Then the area of those four rectangles is ...

  9(8+7+8+7) = 270 . . . square units

The rectangles making up the two left and right "wings" of the net are 8 units high and 7 units wide, so have a total area of ...

  2×(8)(7) = 112 . . . square units

Then the area of the figure computed from the net is ...

  270 +112 = 382 . . . square units

__

<em>Additional comment</em>

You can reject the first two answer choices immediately, because they are odd. Each face will have an area that is the product of integers, so will be an integer. There are two faces of each size, so <em>the total area of this figure must be an even number</em>.

You may recognize that the dimensions are 8, 8+1, 8-1. Then the area is roughly that of a cube with dimensions of 8: 6×8² = 384. If you use these values (8, 8+1, 8-1) in the area formula, you find the area is actually 384-2 = 382. That area formula is A = 2(LW +H(L+W)).

3 0
3 years ago
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