answer.
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
STatiana [176]
1 year ago
9

Angle AOE has what measurement according to the protractor?

Mathematics
1 answer:
LuckyWell [14K]1 year ago
8 0

Answer:120

Step-by-step explanation:

You might be interested in
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
1 year ago
Sarah’s stands on a ground and sights the top of a steep Clift at a 60 degree angle of elevation she then steps back 50 meters t
SashulF [63]

Answer:

Cliff is 45 m tall.

Step-by-step explanation:

Given:

Height of Sarah = 1.8 m

Angle of elevation = 60°

Angle of elevation 50 m back = 30°

As shown in the figure we have two right angled triangles SPQ and SPR.

Let the height of the cliff be h meters and h= h_1+h_s.

Using trigonometric ratios:

tan (Ф) = opposite/adjacent

In ΔSPQ.                                        In ΔSPR.

⇒ tan(60) = \frac{h_1}{x} ...equation (i)        ⇒ tan (30)=\frac{h_1}{x+50}  ...equation (ii)

Dividing equation (i) and (ii)

⇒ \frac{tan(60)}{tan(30)} = \frac{h_1}{x} \times \frac{x+50}{h_1}

⇒ 3 = \frac{x+50}{x}

⇒ 3x=x+50

⇒ 3x-x=50

⇒ 2x=50

⇒ x=\frac{50}{2}

⇒ x=25 meters

To find h_1 plugging x=25 in equation (i)

⇒ h_1=x\times tan(60)

⇒ h_1=25\times 1.73

⇒ h_1=43.25 meters

The height of the cliff from ground :

⇒ h= h_1+h_s

⇒ h= 43.25+1.8

⇒ h=45.05 meters

The cliff is 45 m tall to the nearest meter.

8 0
2 years ago
Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4
Llana [10]

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

<span> </span>

6 0
2 years ago
A toaster oven costing $130 offers an extended warranty for 25% of the purchase price. If the local repair shop will fix a toast
pav-90 [236]

Answer:option c is the correct answer.

Step-by-step explanation:

A toaster oven costing $130 offers an extended warranty for 25% of the purchase price. This means that the money value of the warranty is

25/100 × 130 = 0.25 × 130 = $32.5

If the local repair shop will fix a toaster oven for $8, then the number of times that the toaster oven will break in order for the warranty to pay for itself is

32.5/8 = 4.0625

Therefore, it is 4 times

8 0
1 year ago
In the solution, 3b + 9c = 3(b + 3). What should be done to make it CORRECT?
stiks02 [169]

Answer:

The second term of the binomial factor should be 3c instead of 3.

Step-by-step explanation:

Distributive property:

a*b + a*c = a*(b +c)

3b + 9c = 3*b + 3* 3 *c = 3*(b + 3c)

7 0
1 year ago
Other questions:
  • Yen paid $10.50 for 2.5 pounds of pretzels. what price did she pay for each pound of pretzels?
    8·2 answers
  • A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains.
    15·1 answer
  • Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from angle B in triangle ABC
    12·1 answer
  • The height of an object t seconds after it is dropped from a height of 300 meters is s(t) = −4.9t2 + 300. (a) Find the average v
    6·1 answer
  • Mr. Trager has $600.00 to spend at a bicycle store
    8·2 answers
  • What are the eight-digit grid coordinates for benchmark 86 (circled in red)?
    6·1 answer
  • A juice drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of drink on an average. Any overfill
    11·1 answer
  • Antawn Jamison is shooting free throws. Making or missing free throws doesn't change the probability that
    5·1 answer
  • A composition of transformations ΔKLM maps ΔK"L"M" to . Triangle K L M is rotated 270 degrees about point P to form Triangle K p
    13·2 answers
  • HELP ASAP!!!! WILL GIVE BRAINLIEST! Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!