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astra-53 [7]
4 years ago
13

For a treasure hunt game. 300 balls are hidden, 40% of them are yellow and the rest are white. sally's team finds 20% of the yel

lows balls and 80% of the white balls. how many balls did sally's team find
Mathematics
2 answers:
PilotLPTM [1.2K]4 years ago
4 0
168 balls because 40% of 300 is 120 which is the number of white balls so there would be 180 white balls and 20% is 120 is 24 when you multiply 20×120 and divide it by 100 and 80% of 180 is 144 white balls when you multiply 80×180 then divide by 100 and 144+24=168
Verizon [17]4 years ago
3 0
24 yellow balls and 144 white balls are found
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This equation shows how the cost of a corporate team-building event depends on the
user100 [1]

Answer:

d = 18

Step-by-step explanation:

a = 3;

therefore

d = 4a + 6

d = 4(3)+ 6

d = 12 + 6

d = 18

6 0
3 years ago
Find Exact Answers, Show your work. BRANLIEST ASAP!! THANK YOU​
4vir4ik [10]

$\cos\theta=\frac{\text{5}}{\text{13}},  \ \sin\theta=\frac{\text{12}}{13}, \ \tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{13}}{\text{5}},\ \csc \theta=\frac{\text{13}}{\text{12}} , \ \cot \theta=\frac{\text{5}}{\text{12}}

Solution:

Given triangle is a right triangle.

Base = 5, Hypotenuse = 13, Height = ?

Height (h) = opposite

<em>In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>

5^2+h^2=13^2

25+h^2=169

h^2=144

Taking square root on both sides.

h = 12

$\cos\theta=\frac{\text{Base}}{\text{Hypotenuse}}

$\cos\theta=\frac{\text{5}}{\text{13}}

$\sin\theta=\frac{\text{Opposite}}{\text{Hypotenuse}}

$\sin\theta=\frac{\text{12}}{13}

$\tan\theta=\frac{\text{Opposite}}{\text{Base}}

$\tan\theta=\frac{\text{12}}{\text{5}}

$\sec\theta=\frac{\text{Hypotenuse}}{\text{Base }}

$\sec\theta=\frac{\text{13}}{\text{5}}

$\csc \theta=\frac{\text{Hypotenuse}}{\text{Opposite }}

$\csc \theta=\frac{\text{13}}{\text{12}}

$\cot \theta=\frac{\text{Base }}{\text{Opposite}}

$\cot \theta=\frac{\text{5}}{\text{12}}

6 0
4 years ago
The adjacent sides of a right angle triangle are 5cm and 12cm respectively . calculate the smallest angle of the triangle. How t
lys-0071 [83]

Answer:

22.6 degrees

Step:

The hypotenuse is 13cm using pythagoras theorem.

Now, finding the smallest angle is by using;

SOH

sin = opposite over hypotenuse

Thus, cos^-1 (12/13)

=22.61

and equals to 22.6 (1d.p)

5 0
2 years ago
Find the value of cos 28°​cos 62°​– sin 28°​sin 62°​
Romashka [77]
<h2>Answer:</h2>

cos 28°​cos 62°​– sin 28°​sin 62°​ = 0

<h2>Step-by-step explanation:</h2>

From one of the trigonometric identities stated as follows;

<em>cos(A+B) = cosAcosB - sinAsinB             -----------------(i)</em>

We can apply such identity to solve the given expression.

<em>Given:</em>

cos 28°​cos 62°​– sin 28°​sin 62°​

<em>Comparing the given expression with the right hand side of equation (i), we see that;</em>

A = 28°

B = 62°

<em>∴ Substitute these values into equation (i) to have;</em>

<em>⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°</em>

<em />

<em>Solve the left hand side.</em>

<em>⇒ cos(90°) = cos28°cos62° - sin28°sin62°</em>

⇒ 0 = <em>cos28°cos62° - sin28°sin62°     (since cos 90° = 0)</em>

<em />

<em>Therefore, </em>

<em>cos28°cos62° - sin28°sin62° = 0</em>

<em />

<em />

8 0
3 years ago
A right rectangular prism is 1012 m wide, 1512 m long, and 3 m tall.
Olegator [25]
1012 x 1512 x 3 = 4590432 . the only suitable answer would be A<span />
7 0
3 years ago
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