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MArishka [77]
3 years ago
9

Four multiplied by the sum of 8 and a number is the same as 59 more than the number. find the number.

Mathematics
1 answer:
Daniel [21]3 years ago
5 0
The sum of 8 and a number is 8 + x.  Now multiply that by 4 to get 4(8 + x).  The word "is the same as" means "equals" 59 more than the number, which means we add 59 to the unknown we have called x.  So our equation now looks something like this (exactly like this, actually): 4(8 + x) = x + 59.  Simplifying a bit gives us 32 + 4x = x + 59.  3x = 27 and x = 9.  The number is 9!
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Length of the hypotenuse of the triangle to the nearest tenth of a metre
Lemur [1.5K]

Answer:

The length of the hypotenuse is 2.4m

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse

α = 55°

o: opposite  = 2.0m

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, hypotenuse, opposite)

we look at which meets those data between the sine, cosine and tangent

is the sine

sin α = o/ah

Now we replace the values ​​and solve

sin 55 = 2.0/h

0.81915 = 2.0/h

h = 2.0 / 0.81915

h = 2.4415 m

round to the nearest tenth

h = 2.4415 = 2.4 m

The length of the hypotenuse is 2.4m

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3 years ago
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Galina-37 [17]

Answer:

Step-by-step explanation:

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Angel and Jayden were at track practice. The track is 2/5 kilometers around.  Angel ran 1 lap in 2 minutes.  Jayden ran 3 laps
choli [55]

Answer:

6/25 km in 1 min; or 0.24 km/min

Step-by-step explanation:

The info about Angel is not necessary.

Jayden runs 3 laps in 5 mins

Each lap is 2/5 km, so Jayden runs 3 x (2/5 km) in 5 min = 6/5 km in 5 min.

Distance = rate x time

6/5 km = rate (5 min)

We want to isolate r (rate), so divide both sides by 5 min

6/5 km ÷ 5 min = r

6/5 km (1/5 min) = r

6/25 km/min = r  (notice how the units worked out correctly to km/min)

So, Jayden runs 6/25 km in 1 min.

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3 years ago
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zheka24 [161]

The magnitude of WX is  \sqrt{29}  ⇒ c

Step-by-step explanation:

The magnitude of XY (its length) where,

  • X=(x_{1},y_{1},z_{1})
  • Y=(x_{2},y_{2},z_{2})

is IXYI = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}

∵ W = (-2 , 8 , -3)

∵ X = (1 , 4 , -1)

- To find the magnitude of WX use the formula above

∴ x_{1} = -2 and x_{2} = 1

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∵ IWXI = \sqrt{(1--2)^{2}+(4-8)^{2}+(-1--3)^{2}}=\sqrt{9+16+4}

∴ IWXI = \sqrt{29}

The magnitude of WX is  \sqrt{29}

Learn more:

You can learn more about the position of an object in brainly.com/question/10940255

#LearnwithBrainly

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sukhopar [10]

Answer:

The correct answer B on ED

Step-by-step explanation:

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