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2 years ago

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

Mathematics

1 answer:

slega [8]2 years ago

5 0

Answer:

140°

Step-by-step explanation:

Three angle are labeled below the acre. The smallest angle is 3/8 as large as the 160 angle. Find the value of angle a

The value of the smallest angle is given as:

= 3/8 of the 160 angle

=3/8 × 160°

= 60°

The sum of the total angle = 360°

Hence:

360° = 60° + 160° + a

a = 360° - (60° + 160°)

a = 360° - 220°

a = 140°

Therefore, a = 140°

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FinnZ [79.3K]

Answer:

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

There were 40 pounds of coffee in stock when the trend began.

Step-by-step explanation:

p(x)=0.4(.91)^x

= a b^x

where a is the initial value and b = 1-rate of decrease

We know that the number of pounds of coffee will decrease as time goes on.

.4 is the initial value

It is in the hundreds of pound

.4 * 100 = 40 pounds

x is the number of hours

.91 = 1- rate of decrease

Subtract 1 from each side

.91-1 =-rate of decrease

-.09 = -rate of decrease

rate of decrease = .09

rate of decrease = 9 %

That means we keep 91 % of the coffee and sell 9% of the coffee

Lets check the statements:

There were 400 pounds of coffee in stock when the trend began.

False there were 40 pounds when we started

The number of pounds of coffee in stock decreased by 9% each hour since the trend began.

True see above calculations

There were 4000 pounds of coffee in stock when the trend began.

False see above calculations

There were 40 pounds of coffee in stock when the trend began.

True see above calculations

The number of pounds of coffee in stock decreased by 91% each hour since the trend began.

False see above calculations

4 0

2 years ago

Hey can you help me fast I need to get this grade to a 90 by 12:00 I have an 83 rn.

Nesterboy [21]

Answer:

30/50

Step-by-step explanation:

because there is a y distance of 30 and x distance of 50 from point to point.

3 0

2 years ago

TRI has vertices T(-3, 4), R(3, 4), and I(0,0). Is TRI scalene, isosceles, or equilateral?

KatRina [158]

Answer:

Isosceles

Step-by-step explanation:

Graph your triangle!

Then, do the distance formula. So from T to I is 5 units, R to I is 5 units, and T to R is 6 units. As two side lengths are congruent, the triangle is isosceles.

Hope this helps!

4 0

2 years ago

Find the angle of XYZ give your answer to 1 decimal place

miskamm [114]

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

$\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15} \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o$