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mart [117]
3 years ago
15

What is 9+10 in mathematics

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer: 21

Step-by-step explanation:

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if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr
Scrat [10]

Consecutive numbers differ by one. So, if x is the first, the three numbers are

x,\ x+1,\ x+2

The sum of the first and third integer is

x+(x+2)=2x+2

5 0
3 years ago
A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho
a_sh-v [17]

Answer:

  58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

  Sin = Opposite/Hypotenuse

  sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

  α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

_____

When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).

6 0
2 years ago
A credit card company offers a cash back program on transactions. For every transaction over​ $100 the customer gets ​$3 back. F
Elena L [17]
The first equation is $3 times 9 = $27 the next equation iis $1 times 2 = $1
So you do 9 transactions over $100 and 2 transactions of $100 or lower. 


5 0
3 years ago
Read 2 more answers
In circle D, angle ADC measures (7x + 2)°. Arc AC
Akimi4 [234]

Answer:

The measure of angle ABC is 36° ⇒ 1st answer

Step-by-step explanation:

Let us revise some important facts in the circle

The measure of the center angle is equal to the measure of its subtended arc

The measure of the inscribed angle is equal to half the measure of the central angle subtended by the same arc

The vertex of a central angle is the center of the circle and its sides are radii in the circle

The vertex of an inscribed angle is a point on the circle, and its sides are chords in the circle

In circle D

∵ D is the center of the circle

∵ A and C lie on the circle

- DA and DC are radii

∴ ∠ADC is a central angle subtended by arc AC

∴ m∠ADC = m of arc AC

∵ m∠ADC = (7x + 2)°

∵ m of arc AC = (8x - 8)°

- Equate them to find x

∴ 8x - 8 = 7x + 2

- subtract 7x from both sides

∴ x - 8 = 2

- Add 8 to both sides

∴ x = 10

Substitute the value of x in the measure of ∠ADC

∵ m∠ADC = 7(10) + 2 = 70 + 2

∴ m∠ADC = 72°

∵ AB and BC are two chords in circle D

∴ ∠ABC is an inscribed angle subtended by arc AC

∵ ∠ADC is a central angle subtended by arc AC

- By using the 2nd fact above

∴ m∠ABC =  m∠ADC

∴ m∠ABC =  × 72

∴ m∠ABC = 36°

7 0
2 years ago
62x+2.63x = 1<br> Solve<br> EN
motikmotik

Step-by-step explanation:

answer is in photo above

5 0
3 years ago
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