1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wariber [46]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
Phantasy [73]3 years ago
6 0

Answer:

value of x = 5.8 mm

Step-by-step explanation:

We have given,

Two right triangles EDH and EDG.

In right triangle EDH, EH = 56mm , DH = 35 mm

Using Pythagoras theorem we can find ED.

i.e EH² = ED²+DH²

56²=ED²+35²

ED²=56²-35²

ED = √(56²-35²) = 7√39 = 43.71 mm

Now, Consider right triangle EDG

Here, EG=44.8mm , GD = x+4  and ED = 7√39

Again using Pythagoras theorem,

EG² = ED² + DG²

44.8²= (7√39)²+ (x+4)²

(x+4)² = 44.8² - (7√39)²

x+4 = √(44.8² - (7√39)²)

x+4 = 9.8

or x = 9.8 - 4 = 5.8 mm

Hence we got the value of x = 5.8 mm

You might be interested in
Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?
photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

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)!}

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326

What is the probability that they are both queens?

P = \frac{D}{T} = \frac{6}{1326} = 0.0045

0.45% probability that they are both queens.

4 0
3 years ago
What is the top half of a fraction called
ZanzabumX [31]
The top half is called the numerator.
The bottom is called the denominator.
4 0
3 years ago
Read 2 more answers
Consider the hypotheses below. Upper H 0​: mu equals 50 Upper H 1​: mu not equals 50 Given that x overbar equals 60​, s equals 1
Neko [114]

Answer:

We conclude that  \mu\neq 50.

Step-by-step explanation:

We are given that x bar = 60​, s = 12​, n = 30​, and alpha = 0.10

Also, Null Hypothesis, H_0 : \mu = 50

Alternate Hypothesis, H_1 : \mu \neq 50

The test statistics we will use here is;

                    T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~  t_n_-_1

where, X bar = sample mean = 60

              s = sample standard deviation = 12

              n = sample size = 30

So, Test statistics = \frac{60-50}{\frac{12}{\sqrt{30} } } ~ t_2_9

                             = 4.564

At 10% significance level, t table gives critical value of 1.311 at 29 degree of freedom. Since our test statistics is more than the critical value as 4.564 > 1.311 so we have sufficient evidence to reject null hypothesis as our test statistics will fall in the rejection region.

P-value is given by, P(t_2_9 > 4.564) = less than 0.05% {using t table}

Here also, P-value is less than the significance level as 0.05% < 10% , so we will reject null hypothesis.

Therefore, we conclude that \mu\neq 50.

7 0
3 years ago
A scientist observes that a zebra ran 54 yards in 135 seconds. The zebra ran at a rate of _ feet per minute
Evgen [1.6K]
Someone asked this question before on brainly before. The answer is on this website: brainly.com/question/946010.
3 0
3 years ago
What is the answer to this?
snow_tiger [21]

Answer:

it cannot be simplified

Step-by-step explanation:

they are not the same term so there is no way to add them together

3 0
3 years ago
Other questions:
  • I need help it's timed! Please help.
    14·1 answer
  • Which of the following best corresponds to the x-value where the function f(x)=cos x is a minimum in the interval x=|25,30|
    12·1 answer
  • The window in Mr. Rodriguez's attic is in two parts, each shaped like a trapezoid and each with identical dimensions.
    8·2 answers
  • Three to the sixth power divided by three to the third power
    5·1 answer
  • Geometry<br> The picture below shows the question and answer choices for the questions.
    8·1 answer
  • Abby can buy an 8 pound of dog food for 7.40 or a 4 pound bag of the same dog food for 5.38. Which is the better buy
    5·1 answer
  • Help help help help help​
    12·1 answer
  • Solve each equation by taking square roots<br> 9v^2=25
    15·1 answer
  • What is the solution set of these system5x-2y=17 and 4x-7=13?
    13·1 answer
  • Which of the following equations has no solution?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!