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Lina20 [59]
3 years ago
6

Find the value of x in the triangle shown below.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Answer:

50

Step-by-step explanation:

Because this is an isosceles triangle, the two bottom angles are equal.

180-80=100

100÷2=50°

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The two legs (labeled x) of the right triangle below have equal length. If the hypotenuse has length 5√2 , solve for x.
leonid [27]

Answer:

x=5

Step-by-step explanation:

Other than using the plain special aspect of a 45-45-90 triangle where the legs are x, x, and x√2, you can solve for this.

Since the two legs have equal length, they are both x. Using the pythagorean theorem:

(x^2)+(x^2)=50 (Because 5 squared is 25 and √2 squared is 2, multiplying them gives you 50).

You can add (x^2) and (x^2) because they are the same terms (x squared).

Simplifying like so gives you:

2x^2=50

Dividing by two on both sides:

x^2=25

Taking the square root of both sides:

x=5

6 0
3 years ago
For a family party, Tanisha made 2/5 of the dessert. If a total of 40 dessert were brought to the party, how many did Tanisha su
Pavel [41]
16 desserts 8+8+8+8+8= 40 so 2/5 of 40 is 16 
Hope this help Have a great day.
4 0
3 years ago
Read 2 more answers
(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of
marta [7]

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

5 0
2 years ago
Please help me my teacher won’t help me at all :/
Rudik [331]

Answer:

1 to 75

2 to 120

3 to 165

4 to 210

5 to 255

Step-by-step explanation:

5 0
2 years ago
You originally draw a design for an art contest on a 2 inch by 5 inch card. The second phrase of the contest requires the drawin
Bingel [31]
4.2.
If the 2 inch side was scaled to 10.5 inches the 5 inch side would be scaled by 10.5/2 = 5.25, so would be 25.125 inches which is too big.

So the 10.5 inches is the 5 inch side on the original, and so it 10.5/5 = 2.1 times bigger.

Therefore the smaller side would be 2*2.1/= 4.2 inches.
4 0
3 years ago
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