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Degger [83]
3 years ago
9

The legs of a right triangle have lengths of 4 and 5 units. Find the length of the hypotenuse.

Mathematics
2 answers:
Ganezh [65]3 years ago
8 0
Using Pythagoras' theorem

hyp²= side²+side²

hyp²= 4²+5²

hyp²= 16+25

hyp= 41

hyp= √41

hyp= 6.40

Therefore the length of the hypotenuse is √41.

HOPE THIS HELPS!!!! ;-)
jekas [21]3 years ago
5 0

Answer:

√41 units

Step-by-step explanation:

If 'a' and 'b' are the legs of a triangle while 'c' is the hypotenuse,

Then by Pythagoras theorem, a² + b² = c²

By substituting in the values from the question:

⇒ (4 units)² + (5 units)² = c²

⇒ c² = 41 units²²

⇒ c = √41

Thus the length of the hypotenuse is √41 units

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THE GRAPH IS BELOW THANKS :) Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day
Vaselesa [24]

Answer:

(a) We will form an equation of line from the points given (6,10) and (2,15)

Using:y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)

On substituting the values in the formula above we will get the required equation of line.

y-10=\frac{15-10}{2-6}\cdot (x-6)

\Rightarrow y-10=\frac{5}{-4}\cdot (x-6)

On simplification we will get:

y=\frac{1}{4}(-5x+70)

(b) We need to tell at day 0 put x=0 in above equation:

y=\frac{1}{4}(-5\cdot 0+70)

y=70

Anika worked for 70 hours on the set up crew on the day the fair arrived at the fairgrounds day 0.

Now, we need to tell decrease per day which is equal to the slope of line

To find the slope compare the equation with general equation which is y=mx+c where m is slope

Here, in y=\frac{1}{4}(-5x+70)

m=\frac{-5}{4}  which is the decrease per day.


3 0
3 years ago
The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.
BaLLatris [955]

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = \frac{y_2-y_1}{x_2-x_1}

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{k-(-5)}{6-3}=\frac{k+5)}{3}

We know slope =4

 \frac{k+5)}{3}=4

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

7 0
2 years ago
What is the answer to this ?
likoan [24]

-25x + 40

Step-by-step explanation:

-8 (4x-5) + 7x

-32x + 40 + 7x

-32x +7x + 40

-25x + 40

8 0
2 years ago
Read 2 more answers
Carmen wants to join a gym. Gym A costs $26.76 plus an additional $4 for each visit. Gym B has no initial fee but costs $12.92 f
joja [24]

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

3 0
2 years ago
The sum of a number and -3 is equal to -91.Find the number
larisa86 [58]
The sum of -3 and a number equal to -91 is -88
7 0
3 years ago
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