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2 years ago

Za and Z6 are complementary angles. Za measures 78°. What is the measure of Zb?

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

5 0

Answer:

$\boxed{\angle b = 12 \degree}$

Given:

$\angle a \: and \: \angle b \: are \: complementary \: angles\\ \\ \angle a = 78 \degree$

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

$= > \angle a + \angle b = 90 \degree \\ \\ = > 78 \degree + \angle b = 90\degree \\ \\ = > \angle b = 90 \degree - 78 \degree \\ \\ = > \angle b = 12 \degree$

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Bashir works in a weather station and has launched a weather balloon. The height of the balloon is 4 kilometers and it is 1 kilo

Aleksandr [31]

Consider triangle WBG, where points W, B and G represent Weather Station, Balloon and Ground, respectively. This triangle is right with right angle at vertex G. The legs of this triangle are GB and GW, the hypotenuse is BW.

From the question you know that GB=4 km and GW=1 km. By the Pythagorean theorem,

$BW^2=GB^2+GW^2,\\ \\BW^2=4^2+1^2,\\ \\BW^2=17,\\ \\BW=\sqrt{17}\approx 4.123\text{ km.}$

Answer: nearly 4.123 km

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2 years ago

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a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth

STatiana [176]

Answer:

As per Provided Information

Area of rectangle is 54 square inches
Width of the rectangle is 9 inches.

We have to calculate the length of rectangle .

As we know the formula to find the Area of rectangle .

$\boxed{\bf \: Area_{(Rectangle)} = length \: \times width}$

On substituting the value we obtain

$\sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches$

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Length of the rectangle is 6 inches .

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1 year ago

The corner section of a football stadium has 6 seats on the first row. Each row after that has an additional 3 seats. How many s

julia-pushkina [17]

9514 1404 393

Answer:

Step-by-step explanation:

The number of seats in a row will give an arithmetic sequence:

6, 9, 12, 15, ...

The first term is 6; the common difference is 3. The general term is ...

an = a1 +d(n -1) . . . . . . n-th term of sequence with first term a1, difference d

The 20th term of the sequence is ...

a20 = 6 +3(20 -1) = 6 +57 = 63

There would be 63 seats on the 20th row.

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2 years ago

PLZZZ HELP ASAP solve the quadratic expression. show your work 4x^2=100

zalisa [80]

4x^2 = 100
x^2 = 25
x = + or - 5
x = 5 or x = -5

Hope this helps.

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2 years ago

Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.

Nutka1998 [239]

(In English), your question would state the following:

Calculate the circumference and circumference of the circle entered in a square 8 cm long.

So when finding the answer this this question, we know that the circumference would be the complete area of a circle.

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The radius would then be (1.274).
__________________________________________________________

Now in your own language (Croatian).

Dakle, kad pronađemo odgovor na ovo pitanje, znamo da bi opseg bio cjelokupno područje kruga. Dakle, vjerujem da bismo željeli otkriti što je radijus i promjer koji bi ovaj opseg mogao učiniti 8cm. Radijus bi onda bio (1.274).

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2 years ago

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