A= l x b
70 = 14b
divide both sides by 14
b= 5
Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
Answer:
the hypotenuse of the given triangle is 48.5 ft
Step-by-step explanation:
the ways to detect the hypotenuse of a triangle are :
- longest side of a right angled triangle is the hypotenuse of the triangle .
- side opposite to the right angle ( 90° ) is the hypotenuse of the right angled triangle .
<em> </em><em>in</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>figure</em><em> </em><em>the</em><em> </em><em>longest</em><em> </em><em>side</em><em> </em><em>is</em><em> </em><em>48</em><em>.</em><em>5</em><em>,</em><em> </em><em>hence</em><em> </em><em>it's</em><em> </em><em>the</em><em> </em><em>hypotenuse</em><em>.</em><em>.</em><em>.</em><em>.</em>
Answer:
Step-by-step explanation:
Minimum height=30
Maximum height=38
Write an absolute value equation:
Center: 34
Distance: 4
Equation: |x-34|=4
The region is made up of
• a right triangle with short leg 10 m and hypotenuse 26 m
• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)
• another triangle with two known legs of length 20 m and 26 m
Find the height of the right triangle using the Pythagorean theorem. If the height is h, then
(10 m)² + h² = (26 m)² ⇒ h² = 576 m² ⇒ h = 24 m
This height is common to all three shapes.
Now find the area of each shape.
• right triangle:
1/2 × (10 m) × (24 m) = 120 m²
• parallelogram:
(40 m) × (24 m) = 960 m²
• other triangle:
• 1/2 × (20 m) × (24 m) = 240 m²
Then the total area of the shaded region is 1320 m².