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3 years ago

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Marla did 65 sit ups each day for one week used to the distributive propertyto show an expression you can use to find the total

number of sit ups Marla did during the week

1 answer:

Oxana [17]3 years ago

8 0

You could use the following 65 (7)

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2 years ago

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In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?

Goshia [24]

Step-by-step explanation:

✰ $\underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :$

AD = 15 , AB = 8 , $\angle$ DAB

✰ $\underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :$

Height & Area of the given parallelogram

✰ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :$

In right angled triangle ABE :

Hypotenuse ( h ) = 8
Perpendicular ( p ) = h [ height ]
$\theta$ = 20°

Now , Using trigonometric ratio :

$\large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}$

Plug the known values :

⟶ $\large{ \tt{ Sin(20) = \frac{h}{8} }}$

⟶ $\large{ \tt{0.34 = \frac{h}{8}}}$

⟶ $\large{ \tt{h = 0.34 \times 8}}$

⟶ $\large{ \tt{h = 2.72}}$

Now , We have :

Base ( b ) = 15
Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ $\underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}$

⟶ $\large{ \tt{A = 15 *2.72}}$

⟶ $\large{ \tt{A = 40.8 \: {units}^{2} }}$

Hence , Our final answer :

$\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}$

$\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# $\underbrace{ \tt{Carry \: On \: Learning}}$ !! ✎

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3 0

3 years ago

PLEASE HELP ASAP (giving 20 points)

slamgirl [31]

The answer would be D

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2 years ago