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3 years ago

Find the height of the triangle with area 280 sq cm and base 14 cm.

Mathematics

2 answers:

leonid [27]3 years ago

5 0

Answer:

the answer should be 40 cm

AlladinOne [14]3 years ago

5 0

<h3>Given:</h3>

Area of the triangle = 280 sq.cm

Base of the triangle = 14 cm

The height of the triangle.

<h3>Formula:</h3>

Area of the triangle =

$\large \green {\sf {\frac{1}{2} \times base \times height}}$

Area of the triangle =

$\large \blue {\sf {\frac{1}{2} \times 14 \times height = 280 sq.cm}}$

Area of the triangle =

$\large \red {\sf {7 \times height = 280 sq.cm}}$

Area of the triangle =

height = $\large \purple {\sf {\frac {280}{7} = 40 \: cm }}$

<h2>Answer:</h2>

Height of the triangle is 40 cm.

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Tatiana [17]

Slope = (y2 - y1) / (x2 - x1)
(-9,6)....x1 = -9 and y1 = 6
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now we sub and solve
slope = (9 - 6) / (-3 - (-9) = 3 / (-3 + 9) = 3/6 = 1/2 <=

4 0

3 years ago

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

6 0

2 years ago

Please help me with the question thankyou

Snowcat [4.5K]

Answer:

$24x^{10}$

Step-by-step explanation:

<u>Key skills needed: Exponent multiplication, Multiplication</u>

1) We have the expression --> $(4x^{3})(6x^{7})$

2) We have to simplify this (the parentheses mean multiplication)

The easiest thing to do is: Multiply 4 and 6 --> 4 x 6 = 24.

3) With the step above, the expression now would be $24(x^{3})(x^7)$ .

We now have to do $x^3$ × $x^7$

For this we have to use this exponent rule --> $a^b$ × $a^c$ = $a^{b+c}$ .

4) This means that $x^3$ × $x^7$ = $x^{3+7} = x^{10}$

5) So the simplified expression would be --> $24x^{10}$

<em>Hope you understood and have a nice day!! :D</em>

3 0

3 years ago

At a shelter, 15% of the dogs are puppies their are 60 dogs

devlian [24]

Answer:

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Step-by-step explanation:

15% = 9 puppies

30% = 18 dogs

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sukhopar [10]

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