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Flura [38]
3 years ago
10

35% of 70 is _____.

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
7 0
The answer is 24.5
Hope this helps :)
OleMash [197]3 years ago
6 0
<span>35% of 70 is 24.5.

70 • 0.35 = 24.5

</span>
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The coordinates of ∆ABC are A(-3, 2), B(5, 8) &amp; C(11, 0). Which type of triangle is ∆ABC? Select All that apply.
stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using the distance formula, we get

AB=\sqrt{(5-(-3))^2+(8-2)^2}

AB=\sqrt{(8)^2+(6)^2}

AB=\sqrt{64+36}

AB=\sqrt{100}

AB=10

Similarly,

BC=\sqrt{(11-5)^2+(0-8)^2}

BC=\sqrt{(6)^2+(8)^2}

BC=\sqrt{36+64}

BC=\sqrt{100}

BC=10

And,

AC=\sqrt{(11-(-3))^2+(0-2)^2}

AC=\sqrt{(14)^2+(-2)^2}

AC=\sqrt{196+4}

AC=\sqrt{200}

AC=10\sqrt{2}

Two sides of the triangle are equal, i.e., AB=BC. So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

AB^2+BC^2=10^2+10^2

AB^2+BC^2=100+100

AB^2+BC^2=200

AB^2+BC^2=AC^2

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0
3 years ago
Solve. 90^x = 27. Explain every step.
DaniilM [7]

Answer:

The answer is ⇒ x = 0.73244

Step-by-step explanation:

∵ 90^x = 27 ⇒ insert log in both sides

∴ log(90)^{x}=log(27)

∵ 90 = 9 × 10 , 27 = 3³

∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)

∴ log(9 × 10)^x = x log(9 × 10)

∴ xlog(9*10)=log(3^{3})

∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)

∴ x[log(9)+log(10)]=3log(3)

∵ log(10) = 1 , 9 = 3²

∴ x[log(3)^{2}+1]=3log(3)

∴ x[2log(3)+1] = 3log(3)

∴ x = (3log3)/[2log(3)+1]

∴ x = 0.73244

3 0
3 years ago
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Insert grouping symbols in 5 x 2 + 8 - 4 - 2 so that its value is 15
Arlecino [84]
5×2+8-4+1=15
cause
5×2=10
10+8=18
18-4=14
14+1=15
5 0
4 years ago
Channing lives 4 miles 155 feet away from her cousins mackinley how many feet away does Channing live from mackinley
atroni [7]
Channing lives 21275 feet from mckinley's house. hope this helps!
6 0
3 years ago
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Simplify. (−5p4z6u)3
sineoko [7]
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
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4 0
4 years ago
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