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3 years ago

Write an expression for the calculation triple 4 and then add 7 times 7

1 answer:

lina2011 [118]3 years ago

6 0

triple 4 means 4 is multiplying with 3 and then add 7 7 times means 7 (7)
3(4) + 7 (7)
= 12 + 49
= 61
So, the expression will be :
3(4) + 7(7)

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The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data

zimovet [89]

Mean is the average. You would add up all the numbers and divide by how many numbers you have. 433/10=43.3

5 0

3 years ago

Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

guapka [62]

Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always draw a diagram first (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to find "x", which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

Use the trig. ratio sine because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to find "x", which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. The trig. ratio that has adjacent and opposite is tangent.

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0

3 years ago

5- One month Selena made 4 withdrawals for $ 20and 2 withdrawals for $ 80 from her account .Howdid the withdrawals change the am

notsponge [240]

Answer: total withdrawal: 80+ 160= 240

Step-by-step explanation:

She withdrawl from her bank acount for 4 times for 20 dollars means that you multiply 20 with 4= 80 and she also made two withdrawal for 80 so you take 80 mutiply by 2= 160 plus all together is the total amount of withdrawal that she took from the bank

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3 years ago

Using the quadratic formula to solve 11x²-4x=1 What are The values of X?

Anvisha [2.4K]

$11x^2 - 4x = 1$
$11x^{2} - 4x - 1 = 1 - 1$
$11x^{2} - 4x - 1 = 0$
$x = \frac{-(-4) \± \sqrt{(-4)^{2} - 4(11)(-1)}}{2(11)}$
$x = \frac{4 \± \sqrt{16 + 44}}{22}$
$x = \frac{4 \± \sqrt{60}}{22}$
$x = \frac{4 \± 2\sqrt{15}}{22}$
$x = \frac{2 \± \sqrt{15}}{11}$
$x = \frac{2 + \sqrt{15}}{11}\ \bold{or}\ x = \frac{2 - \sqrt{15}}{11}$

8 0

3 years ago

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How many sides does a hexagon have

Gekata [30.6K]

Answer:

Step-by-step explanation:

by definition, a hexagon has six sides.

the prefix "hex-" is derived from the greek "hexi-" which means 6

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3 years ago

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