Given a long integer find the number of ways to represent it as a sum of two or more consecutive positive integers

Help pls. Three sodas cost$4.50 at a convenience store. How many would it cost to buy 10 sodas at the same price.

soldier1979 [14.2K]

Answer: $15.00

Step-by-step explanation: If 3 sodas cost you $4.50 then you divide it by 3 to get $1.50 per soda. Then you multiply the number by ten to get $15.

5 0

2 years ago

Read 2 more answers

Can you help me please

igor_vitrenko [27]

Answer:

Step-by-step explanation:

ΔA = 90° - 31°

= 59°

sin A = perpendicular ÷ base

sin 59° = 400 ft ÷ y

1.6643 = 400 ft ÷ y

y = 400 ÷ 1.6643

y = 240.34 ft

<h2>MARK ME AS BRAINLIST</h2>

7 0

3 years ago

Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.

wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

r = 3

m∠1 = 82°

m∠2 = 49°

x = 82°

<h3>How can the radial length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

<u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

<u>m∠1 = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

<u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

<u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

4 0

2 years ago

What is the volume of the figure?

Fynjy0 [20]

Volume of Cylinder

$V = \pi r^2 h$

$V = \pi \times (11~yd)^2 \times 9~yd$

$V = 1089 \pi~yd^3$

$V = 3421~yd^3$

3 0

3 years ago

Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29

Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ $\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$

⇒ $\frac{15}{Sin 29} = \frac{20}{sin B}$

Using value of sin 29°

⇒ $\frac{15}{0.49} = \frac{20}{sin B}$

Cross multiplying both side.

⇒ Sin B= $\frac{20\times 0.49}{15} = 0.65$

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ $29+41+B= 180$

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

$\frac{b}{SinB} = \frac{c}{SinC}$

⇒ $\frac{20}{sin41} = \frac{C}{sin110}$

Using the value of sine and cross multiplying both side.

⇒ C= $\frac{20\times 0.94}{0.65} = 28.92$

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= $(15+20+28.92)= 63.9$

∴ Perimeter of triangle= 63.9 units

7 0

3 years ago