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3 years ago

The area of a triangle is 30cm and its base is 10cm. What is the height, in cm, of the triangle

Mathematics

2 answers:

Blizzard [7]3 years ago

8 0

Answer:

6cm

Step-by-step explanation:

bh divided by 2 if you multiply 10 x 6

you get 60 then divide 60 by 2 which gives you back the area 30

Westkost [7]3 years ago

7 0

Answer: 6cm

Step-by-step explanation:

Area of a triangle is 1/2bh

B= base

H= height

Area = 30cm

Substitute the values into the formula

Area= 1/2bh

30=1/2×10×h

30=5h

H=30/5

H= 6cm

Height of the triangle is 6cm

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7 0

2 years ago

Can someone help me with this thanks

Ugo [173]

The length of the brace required is 4.3m

What is sine rule?

In a ΔABC a, b and c are the sides and A, B and C are angles then,

$\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}$

We can find the length, l as shown below:

Let AB=3m, BC=2m and AC=l

Let ∠A=25°

So, in ΔABC

$\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}$

$\frac{BC}{sinA}=\frac{AB}{sinC}$

$\frac{2}{sin25}=\frac{3}{sinC}$

$\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )$

∠C=39.34°

∠A+∠B+∠C=180°

∠B=180°-25°-39.34°

∠B=115.66°

$\frac{BC}{sinA}=\frac{AC}{SinB}$

$\frac{2}{sin25}=\frac{l}{sin(115.66)}$

$l=\frac{2\times sin(115.66)}{sin25}$

l=4.2659

Rounding to nearest tenth of meter.

l=4.3m

Hence, the length of the brace required is 4.3m

Learn more about Sine Rule here:

brainly.com/question/25852087

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8 0

1 year ago

Please help will give branliest

NikAS [45]

-2x+8y-3

Hope this helps! :)

3 0

2 years ago

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3 years ago

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What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
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removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
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2 years ago

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