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enyata [817]
2 years ago
13

An arc of length 8 in. Is intersected by a central angle in a circle with a radius of 3in. What is the measure of the angle? Rou

nd to the nearest 10th
Mathematics
1 answer:
gladu [14]2 years ago
7 0

Answer:

Step-by-step explanation:

Circumference = 6π

θ = 8/3 = 2.7 radians

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Triangle ABC is similar to triangle FED, find the measure of x. A. X = 9 B. X = 11 C. X = 110 D. X = 231
just olya [345]

Answer:

A+B+C=130

F+E+D=273

Step-by-step explanation:

From the question we are told that:

Dimension of ABC

A=9

B=11

C=110

Dimension of FED

D=231

Generally the equation for the similar triangles is mathematically given by

\frac{A}{F}=\frac{B}{E}=\frac{C}{D}

Therefore solving for F

\frac{9}{F}=\frac{110}{231}

F=\frac{9*231}{110}

F=18.9

Therefore solving for E

\frac{11}{E}=\frac{110}{231}

E=\frac{11*231}{110}

E=23.1

Measure of \triangle ABC

A+B+C=130

Measure of \triangle FED

F+E+D=273

5 0
3 years ago
In a different plan for area​ codes, the first digit could be any number from 4 through 8​, the second digit was either 3, 4, 5,
Snezhnost [94]

For the first digit, we have 5 options that are 4,5,6,7,8 . For the second digit, we have 4 options which are 3,4,5 or 6 and for the third digit, we have the options of all numbers except 2 or 5 that is 1,3,4,6,7,8,9,0 . SO we have 8 options for third digit . So to find the total number of options, we need to multiply all the possible options for each digit that is 5 times 4 times 8 = 160 . So the number of possible options are 160 .

7 0
3 years ago
Cuantos paquetes de 10 vasos ocupo para empacar 1367 vasos
SpyIntel [72]
137 paquetes de vasos, aunque el último nomas contiene 7 vasos se necesita el paquete para que no queden sin empacar
8 0
3 years ago
There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
4 0
3 years ago
11. At a fund-raiser, Ling raised $19 more than the total amount raised by the swim club. The
Novosadov [1.4K]

Answer:$66

Step-by-step explanation:

6 0
3 years ago
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