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3 years ago

A right triangle has one angle that measures 65°. What is the measure of the other acute angle?

1 answer:

8 0

The other angle is 25 degrees.

This is because the sum of all angles must add up to 180. To find the last angle, you must subtract the other angles you know from 180. We know the angle measurements are 65 and 90 (a right angle is 90)
180 - (65+90) = 25

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Last year the population of Spoon Forks grew from 1250 to 1300. If the population of the town grows by the same percent this yea

Reptile [31]

Answer:

1352

Step-by-step explanation:

Firstly, we get the percentage growth last year. This is calculated as:

(1300-1250)/1250 * 100

= 4%

Now, we are assuming the growth rate is constant. So let’s calculate a 4% growth rate for this year. That would be:

4/100 * 1,300 = 52

The population this year would thus be 1300 + 52 = 1352

4 0

3 years ago

Find the values of the sine, cosine, and tangent for ZA.<br><br> (TOP OF TRIANGLE IS (A))

Sloan [31]

$\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\$

AC = 7 m
BC = 4 m

⠀⠀⠀

$\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\$

$\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\$

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☆ Now Let's find value of sin A, cos A and tan A,

⠀⠀⠀

sin A = Perpendicular/Hypotenus = $\sf \dfrac{4}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{4 \sqrt{65}}{65}}$

⠀⠀⠀

cos A = Base/Hypotenus = $\sf \dfrac{7}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{7 \sqrt{65}}{65}}$

⠀⠀⠀

tan A = Perpendicular/Base = ${\sf{\pink{\dfrac{4}{7}}}}$

⠀⠀⠀

$\therefore\:{\underline{\sf{Hence,\: {\pmb{Option\:A)}}\:{\sf{is\:correct}}.}}}$

4 0

3 years ago

Explain how to estimate the quotient using compatible<br>numbers.plz help fast

Nadya [2.5K]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

To estimate the quotient, make the fractions "like" fractions. To do this, you need to make the fractions have the same denominator, and turn them into improper fractions.

Step-by-step explanation:

$27\frac{2}{3} = 27 \frac{20}{30}$

$3\frac{9}{10} = 3\frac{27}{30}$

Now the denominators are the same --> they are "like" fractions.

$27\frac{20}{30} + 3\frac{27}{30} = ?$

$27\frac{20}{30} + 3\frac{27}{30} = (27 + 3) + (\frac{20}{30} + \frac{27}{30})$

$27\frac{20}{30} + 3\frac{27}{30} = (30) + (\frac{47}{30})$

$27\frac{20}{30} + 3\frac{27}{30} = (30) + (1 \frac{17}{30})$

$27\frac{20}{30} + 3\frac{27}{30} = 31 \frac{17}{30}$

Your answer is $31\frac{17}{30}$ .

I hope this helps!

3 0

4 years ago

Ch. 6 Challenge

Tju [1.3M]

36= 12.5% because 25%+62.5%= 87.5%

So 100%-87.5%=12.5%

87.5%-12.5%= 75%

36+36=72=25%

72+72+72+72= 288 = 100%

So the total number of pages in the magazine is 288

7 0

4 years ago

Solve for y.<br> 5(y+5)=-7(2y-1) + 7y

scZoUnD [109]

Answer: y=1.5

Step-by-step explanation: Isolate the variable by dividing each side by factors that don’t contain the variable.

4 0

4 years ago