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
Setler [38]
3 years ago
8

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain h

ow you got the answer and why mine was wrong.
Use ΔDEF, shown below, to answer the question that follows:

Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = \frac{opposite}{adjacent} = \frac{EF}{DE} = \frac{x}{55} ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

You might be interested in
Bashir find some nickels and pennies under the couch cushions how much (money in dollars) does he have if he has 120 nickels and
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

4 0
2 years ago
Not sure about this one help please
lutik1710 [3]

Answer:

a) -1

Step-by-step explanation:

Slope is also known as the gradient

1. assign a value to x and solve for y:

when x = 2, y = 2

when x = 4, y = 0

2. Next, use the equation of a straight line to find the gradient

y = mx + c

y is the y-coordinate, m is the gradient, x is the x-coordinate, c is the point where the line crosses the y-axis, which is found by equating y to 0 and solving for x

so y = mx + c becomes 2 = m*2 + 4, which then becomes 2 = 2m + 4

2m = -2 (take 4 away from 2)

<u>m = -1 </u>

5 0
3 years ago
I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator
lutik1710 [3]

Answer:

V ≈ 3367.6 cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3} πr³ ( r is the radius )

Here D = 18.6 , then r = 18.6 ÷ 2 = 9.3 , so

V = \frac{4}{3} × 3.14 × 9.3³

   = \frac{4}{3} × 3.14 × 804.357

   = \frac{4(3.14)(804.357)}{3}

   ≈ 3367.6 cm³ ( to the nearest tenth )

6 0
2 years ago
Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2(28) B. 8 C. log 256 D. log2 2
eduard

Answer:

B. 8.

D.  log2 256.

Step-by-step explanation:

Generally:

loga b + loga b

= loga b^2.

Therefore log2 16 + log2 16

= log2 16^2

= log2 256.

From the above:

256 = 2^x   where x is the log.

Now 2^8 = 256   so the original log2 16 + log2 16 = 8.

3 0
3 years ago
Read 2 more answers
"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f
yuradex [85]

Answer:

a

   P(X = 4 ) = 0.1876

b

   P(X \le 4)  =  0.8358

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

X \  \ ~ Bin (n , p )

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

P(X = 4 ) =  ^nC_4 * p^4 * (1 - p)^{n-4}

=> P(X = 4 ) =  ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}

Here C stand for combination

=> P(X = 4 ) = 0.1876

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

P(X \le 4) =  [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]

=>   P(X \le 4)  =  0.8358

4 0
3 years ago
Other questions:
  • steven and jaden are solving b is either of them correct? explain your reasoning and in complete sentences.
    15·1 answer
  • Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
    8·1 answer
  • I need help on 1-31 and all the parts of it (a b c d)
    11·1 answer
  • Find the equation of the line with a slope of 2/5 and containing the point (10,6).
    9·1 answer
  • 6 m<br> /<br> 8 m<br><br> what do i do to solve this
    5·2 answers
  • A restaurant bought 5 pounds of salmon for $42.50. How much would 7 pounds of salmon cost? *
    6·1 answer
  • 1. The rectangle shown is dilated by a scale factor of 3.
    15·1 answer
  • Solve 7z + 4 - 5z &gt; 8 + 12
    12·2 answers
  • The ratio of female to male members of a tennis club is 5:3. The total number of members of the club is 256. How many of the mem
    7·1 answer
  • Please help pleaseeee I really need answers only
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!