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Svetradugi [14.3K]
3 years ago
11

Find the value of x.

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0

Answer:

x=6.09cm

Step-by-step explanation:

Working out AB:

7.5²+4.9²

= √80.26

AB= 8.96cm

To work out x:

AB is the opposite, where BC is the adjacent. This means that we have to use TOA.

x=8.96/Tan(55.8)

x= 6.09cm

ipn [44]3 years ago
3 0

Answer:

6.1 cm

Step-by-step explanation:

Use the Pythagorean theorem for triangle ABD to find the hypotenuse.

7.5^2+4.9^2=c^2. After solving you get that the missing length is about 9 cm. The hypotenuse of ABD is also a leg for ABC so you can use a trigonometric function, tangent, to find x. Set up the equation for opposite and adjacent sides to angle measure 55.8. The equation is tan(55.8)=9/x. In order to isolate the variable you multiply both sides by x to get (x)tan(55.8)=9, then divide both sides by tan(55.8), this leaves you with x=9/tan(55.8). You can then plug this into the calculator to get x is approximately 6.1 cm.

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In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

3 transistors from a set of 100. So

C_{100,3} = \frac{100!}{3!(100-3)!} = 161700

So 161700 ways.

6 0
3 years ago
Work out the value of angle x 24 degrees​
stich3 [128]

Answer:

180=2x+ 24( angles opposite to equal sides)

156/2=x

x=78

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Alex wants to sew a pillow in the shape below. How many square yards of fabric are needed to sew the pillow? Fabric is only sold
r-ruslan [8.4K]

The shape is missing, so i have attached it.

Answer:

2.6

Step-by-step explanation:

From the image attached, the diameter of the inner semi - circle is 0.5 yards while the length of each side of the pillow is 0.2 yards.

Thus, for us to find the length of the seam which is along the edges of the pillow, we will calculate the perimeter of the outer semicircle, then add the perimeter of the inner semicircle and also add the sides too.

Now, due to the fact that the length of the sides of the pillow are 0.2 yards each, the diameter of the outer circle would be;

0.5 + 0.2 + 0.2 = 0.9 yards. So, the perimeter of the outer semicircle is,

P0 = πd/2 = π × 0.9/2 =0.45π yds

The perimeter of the inner semicircle would be given as;

PI = πd/2 = π × 0.5/2 =0.25π yds.

Thus, we can calculate the total perimeter of the pillow as;

PT = P0 + PI + 0.2 + 0.2

PT = 0.45π + 0.25π + 0.2 + 0.2

PT ≈ 2.6 yards

Alex will need 2.6 yds

7 0
2 years ago
What is 5p to the -7 power/20p to the 2 power simplified
mr_godi [17]

Answer:

p^(-9) or 1/p^9

Step-by-step explanation:

Here we have:

  (5p)^(-7)

----------------

   (20p)^2

Let's temporarily remove the coefficient 5/20 and reduce it to 1/4.

then we have:

            1                             1               1

(1/4) -------------  = (1/4) -------------- = ------------

       p^7*p^2               p^(7 + 2)         p^9

8 0
3 years ago
Wanda and Kyle want to compare the worth of their baseball cards. Wanda has 80 baseball cards and Kyle has 110 baseball cards. S
chubhunter [2.5K]

Answer:

Mean

Step-by-step explanation:

If Wanda has 80 baseball cards and Kyle has 110 baseball cards. Given that they know the total value of all their individual base ball cards, the worth of each baseball card will be derived by dividing the Total Worth of the cards by the number of cards. This is an example of Mean. Therefore they should use Mean to compare the worth of the cards.

Illustrative Example

If the Total Value of their cards are $500,

For Wanda, Value Per Card= $500/80 Cards =$6.25 per card

Similarly,

For Kyle, Value Per Card= $500/110 Cards =$4.55 per card

So we can see from this illustration whose card is with an higher price using the mean.

5 0
3 years ago
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