Answer:
Brand A = 21 heart-rate watches.
Brand B = 13 heart-rate watches.
Step-by-step explanation:
Let A be the number of Brand A heart watches and B be the number of Brand B heart watches.
We have been given that a nonprofit community health organization purchased 34 heart-rate watches for use at a wellness center.
We can represent this information in an equation as:
We have been given that in a certain year, brand A of heart-rate watch cost $39.99 and brand B cost $59.99 and the organization spent $1619.66 for the watches.
We can represent this information in an equation as:
We will use substitution method to solve our system of equations.
From equation (1) we will get,
Substituting in equation(2) we will get,
Therefore, the organisation purchased 13 heart-rate watches of brand B.
Now let us substitute B=13 in equation (1).
Therefore, the organisation purchased 21 heart-rate watches of brand A.
Answer:
Option D.
Step-by-step explanation:
In this question figure of pyramid is attached below the question .
Surface area of the rectangular pyramid :
Area of the Base = Length × Width
= 10 × 2 = 20 cm²
Area of Lateral #1 = 
= 
= 31.5 cm²
Area of Lateral #2 = 
= 
= 8 cm²
Surface area of the pyramid = 20 + 2(31.5) + 2(8)
= 20 + 63 + 16
= 99 cm²
Surface area of the pyramid is 99 cm²
Answer:
Step-by-step explanation:
Let the total amount ate by Tyler and Han be 24
Let the amount Tyler ate be x
Amount Han ate be y
If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;
x = 3/4of 24
x = 3/4×24
x = 3×6
x = 3(6)
x = 18
Hence the amount Tyler ate is 18
If Han ate 18 less than Tyler, the amount ate by Han will be;
Han y = 24-(3/4(24)
y = 24-{3(6)}
y = 24-18
y = 6
Hence the total Han ate is 6
Answer:
An isosceles triangle with angles measuring 20° and 80°
Step-by-step explanation:
Verify each case
case A) Scalene triangle with angles measuring 110° and 35°
Is not a scalene triangle because the third angle is (180-110°-35°=35°), therefore is an isosceles triangle
case B) An obtuse triangle with sides measuring 5,10 and 15
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
case C) An isosceles triangle with angles measuring 20° and 80°
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem the third angle is (180-20°-80°=80°),
therefore
is an isosceles triangle and can be drawn as it is described
case D) An acute triangle with sides measuring 7,4 and 2
we know that
Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so in this problem
-----> is not true
therefore
with these measurements can not draw any triangle
Answer:
8. une ceinture 9. une jupe i think 10. un pull 11. casquette
Step-by-step explanation:
<u>For 9:</u>
une jupe is skirt
une echarpe is scarf
un pull is jumper
i cant really tell what the picture is
