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pshichka [43]
3 years ago
5

Nine more than half of a number is 21

Mathematics
1 answer:
pogonyaev3 years ago
3 0
I assume you're looking for the number:
0.5n + 9 = 21
- 9
0.5n = 12
÷ 0.5
n = 24
So the beginning number is 24, hope this helps!
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Plz hurry!!!! thank you!!!!
Nikitich [7]

Answer:

Area of trapezium = 4.4132 R²

Step-by-step explanation:

Given, MNPK is a trapezoid

MN = PK and ∠NMK = 65°

OT = R.

⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).

Now, sum of interior angles in a quadrilateral of 4 sides = 360°.

⇒ x + x + 65° + 65° = 360°

⇒ x = 115°.

Here, NS is a tangent to the circle and ∠NSO = 90°

consider triangle NOS;

line joining O and N bisects the angle ∠MNP

⇒ ∠ONS = \frac{115}{2} = 57.5°

Now, tan(57.5°) = \frac{OS}{SN}

⇒ 1.5697 = \frac{R}{SN}

⇒ SN = 0.637 R

⇒ NP = 2×SN = 2× 0.637 R = 1.274 R

Now, draw a line parallel to ST from N to line MK

let the intersection point be Q.

⇒ NQ = 2R

Consider triangle NQM,

tan(∠NMQ) = \frac{NQ}{QM}

⇒ tan65° = \frac{NQ}{QM}

⇒ QM = \frac{2R}{2.1445}

QM = 0.9326 R .

⇒ MT = MQ + QT

          = 0.9326 R + 0.637 R  (as QT = SN)

⇒ MT = 1.5696 R

⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R

Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).

⇒ A = (\frac{NP + MK}{2}) × (ST)

       = (\frac{1.274 R + 3.1392 R}{2}) × 2 R

       = 4.4132 R²

⇒ Area of trapezium = 4.4132 R²

5 0
3 years ago
If the point (3,4) lies on the graph of the equation 3y=ax+7 ,find the value of a
Daniel [21]

3y = ax + 7

3(4) = a(3) + 7

12 = 3a + 7

3a = 5

a = 5/3

5 0
3 years ago
Solve P = 8/3 R + 30 for R.
vampirchik [111]

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = \frac{8}{3}R

multiply each side by \frac{3}{8} to get:

\frac{3}{8} · P - 30 = R

R = (3P-30)/8

7 0
3 years ago
Below is a plot of land divided into 4 sections for a vegetable garden.
alexandr1967 [171]

Answer:

104

Step-by-step explanation:

did the test yourself(sorry for no proof)

5 0
2 years ago
Your first job after college has a salary of $35,000 and will increase 6.5% each year. If you stay with the same position, what
Schach [20]
35,000 divided 6.5 =5,384
8 0
2 years ago
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