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deff fn [24]
3 years ago
15

PLS HELP / EXPLAIN !!!!

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
Area of a triangle = \frac{1}{2} · base x height
                     180 = \frac{1}{2} · base x 40
                     180 = 20 · base
                        9  = base

Pythagorean Theorem:
base² + height² = hypotenuse²
  9²     +    40²    = hypotenuse²
 81     +   1600   = hypotenuse²
      1681            = hypotenuse²
     √1681           = √hypotenuse²
         41            = hypotenuse

Answer: the length of the hypotenuse is 41 m
You might be interested in
If a bus traveled 180 miles in 3 hours, what was the average speed of the bus in miles per hour?
PIT_PIT [208]
Just find the unit rate.  Div. 180 mi by 3 hrs:

180 mi
---------- = 60 mph
 3 hrs
8 0
4 years ago
Find an equation for the ellipse that satisfies the given conditions.
svetoff [14.1K]

Answer: (x^2)/25 + (16y^2)/375) = 1

Step-by-step explanation:

since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:

  (x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,

and:  e = eccentricity = sqrt(a^2 - b^2)/a = 0.25;  foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)

---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25  ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4

---> a^2 - b^2 = (5/4)^2 = 25/16;  or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;  

---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16

---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1

Hope this help...and correct it's been awhile..Let me know

4 0
3 years ago
Kevin is 4 times as old as daniel and is also 6 years older than daniel. how old is kevin?
vovangra [49]
There seems to be no solution, unless you're supposed to use half ages.
8 0
4 years ago
Solve the equation. Round the solution to the nearest tenth . Enter the solution set of the equation . 2P o =P 0 (1.053)^ t
kow [346]

Answer: t= 13.4

Step-by-step explanation:

The given equation is 2P_0=P_0(1.053)^t

To solve this equation for 't', we first divide both sides by P_0, we get

2=(1.053)^t

Taking log on both the sides, we get

\log 2= \log(1.053)^t

Since \log a^b=b\log a

Then,

\log 2= t\log1.053\\\\\Rightarrow0.30103=t(0.02243)\\\\\Rightarrow t=\dfrac{0.30103}{0.02243}\\\\\Rightarrow t=13.4208649131\approx13.4

Hence, the value of t is 13.4.

6 0
3 years ago
Mario is painting a fence that is 15 feet long and 12 feet tall. A gallon of paint will cover 250 square feet. How many gallons
tangare [24]

Answer:

Step-by-step explanation:

Lets calculate the fence first!

15*12=180

Mario needs to paint 180 ft^2

Turn this into a linear equation

250x=180

Divide by 250 on both sides:

x=0.72

So, Mario needs 0.72 Gal of paint to paint the fence!

<em>Hope i helped, Brainliest would be appreciated!</em>

<em>Have a nice day!</em>

<em>   -Aadi x</em>

5 0
3 years ago
Read 2 more answers
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