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enyata [817]
3 years ago
13

What is 22 less than 15​

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer: Algebraic: 15-22

Simply:-7

Step-by-step explanation:

Less than means to take away from, so in this case we are taking away 22 from 15

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En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
Nonamiya [84]

Answer:

\displaystyle \tan A=\frac{4}{3}

Step-by-step explanation:

<u>Funciones Trigonométricas</u>

La identidad principal en trigonometría es:

sen^2A+cos^2A=1

Si sabemos que A es un ángulo agudo (que mide menos de 90°), su seno y coseno son positivos.

Dado que Sen A = 4/5, calculamos el coseno:

cos^2A=1-sen^2A

Sustituyendo:

\displaystyle cos^2A=1-\left(\frac{4}{5}\right)^2

\displaystyle cos^2A=1-\frac{16}{25}

\displaystyle cos^2A=\frac{25-16}{25}

\displaystyle cos^2A=\frac{9}{25}

Tomando raíz cuadrada:

\displaystyle cos\ A=\sqrt{\frac{9}{25}}=\frac{3}{5}

La tangente se define como:

\displaystyle \tan A=\frac{sen\ A}{cos\ A}

Substituyendo:

\displaystyle \tan A=\frac{\frac{4}{5}}{\frac{3}{5}}

\displaystyle \tan A=\frac{4}{3}

6 0
3 years ago
Please help me asap. thanks
Furkat [3]
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A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the
LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

6 0
3 years ago
The perimeters of a rectangle and an equilateral triangle are equal. The length of the rectangle is twice the width, and the sid
Alex Ar [27]

Step-by-step explanation:

solution.

Let S represent side of the equilateral triangle.

perimeter of equilateral ∆ =3×S

Therefore,if we let width to be represented by W

Width of rectangle=W

Length of rectangle=2W

one side of equilateral triangle= W+8

Therefore after analysing the question, the true statement is; The length of the rectangle is 2W

5 0
3 years ago
Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.1/3 of the Sunday's are mint ice-cream and 1/2 of the r
Alina [70]

Answer:

<u>10 sundaes</u> will be vanilla.

Step-by-step explanation:

Given:

Fernando is making 30 sundaes with mint, chocolate,and vanilla ice cream.

1/3 of the Sunday's are mint ice-cream.

And 1/2 of the remaining sundaes are chocolate.

The rest are vanilla.

Now, to find the number of sundaes that will be vanilla.

Fernando is making sundaes total = 30.

So, the quantity of sundaes that are mint ice-cream:

\frac{1}{3} \ of\ 30\\\\=\frac{1}{3} \times 30\\\\=10.

<em>Thus, 10 sundaes are mint ice-cream.</em>

So, the remaining sundaes are:

30-10=20.

<em>Thus, the remaining sundaes are = 20.</em>

Now, to get the quantity of chocolate sundaes of the remaining sundaes:

\frac{1}{2} \ of\ 20\\\\=\frac{1}{2} \times 20\\\\=10.

<em>Hence, 10 sundaes are chocolate of the remaining 20 sundaes.</em>

<em>As, given the rest are vanilla.</em>

Now, to get the vanilla sundaes we subtract the 10 chocolate ice-cream from the 20 remaining sundaes:

20-10=10.

Therefore, 10 sundaes will be vanilla.

5 0
3 years ago
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