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GuDViN [60]
3 years ago
13

Problems

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

17

Step-by-step explanation:

3 caterpillars double every minute (3×2=6). after 4 minutes (6×4=24). He captured 7 caterpillars within the four minutes (24-7=17).

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Find A and B. Using the image above.
NeX [460]

Answer:

a = 7, b = \frac{7\sqrt{3} }{3}

Step-by-step explanation:

Using the sine ratio in the left right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin45° = \frac{opposite}{hypotenuse} = \frac{a}{7\sqrt{2} } = \frac{1}{\sqrt{2} } ( cross- multiply )

a × \sqrt{2} = 7\sqrt{2} ( divide both sides by \sqrt{2} )

a = 7

--------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan60° = \sqrt{3} , then

tan60° = \frac{opposite}{adjacent} = \frac{a}{b} = \frac{7}{b} = \sqrt{3} ( multiply both sides by b )

b × \sqrt{3} = 7 ( divide both sides by \sqrt{3} )

b = \frac{7}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = \frac{7\sqrt{3} }{3}

7 0
2 years ago
A blueprint of a house has a scale of 1 in : 6ft. The living room has a dimensions of 18 ft x 24 feet. What are the dimensions o
Mumz [18]
The dimensions are 3 in x 4 in
5 0
3 years ago
Solve the following quadratic equation 6x^2-5x-4=0
jeka94

Answer:

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

6

2

−

5

−

4

=

0

6x^{2}-5x-4=0

6x2−5x−4=0

=

6

a={\color{#c92786}{6}}

a=6

=

−

5

b={\color{#e8710a}{-5}}

b=−5

=

−

4

c={\color{#129eaf}{-4}}

c=−4

=

−

(

−

5

)

±

(

−

5

)

2

−

4

⋅

6

(

−

4

)

√

2

⋅

6

Step-by-step explanation:

6 0
3 years ago
Olga had more than 6 aces in what percent of tennis matches​
Tanya [424]

Answer:

50%

Step-by-step explanation:

TRUST

5 0
3 years ago
48 divided by blank =6
poizon [28]

Answer:

i think ANSWER IS 8

Step-by-step explanation:

48÷8 = 6

6 0
2 years ago
Read 2 more answers
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