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3 years ago

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Sandra earns 6.50 an hour of babysitting she wants to purchase a pair of boots that cost 150 if she already has 35 which inequal

ity best represents the number of hours Sandra will have to babysit in order to have enough money to purchase the boots

1 answer:

postnew [5]3 years ago

4 0

Answer: 6.50h+35 must be greater than or equal to 150

Step-by-step explanation:

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I need help 10 less than the sum of p and m<br><br>write the expression

Finger [1]

Answer:

p + m - 10 is your expression

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Given: △ABC, m∠A=60°,<br> m∠C=45°, AB=9<br> Find: Perimeter of △ABC,<br> Area of △ABC

stellarik [79]

Answer:

Perimeter of ΔABC: $\frac{27}{2}$ + $\frac{9}{2} * \sqrt6$ units

Area of ΔABC: $\frac{81}{8}*\sqrt3 + \frac{243}{8}$ units

<u>Skills required: HS Geo, Special Triangles</u>

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is $x$ , the side opposite the 60 degree angle is $x*\sqrt3$ , and the side opposite the 90 degree angle is $2x$ .

AB is 9 units, and it is opposite the 90 degree angle. This means that $2x=9, x = \frac{9}{2}$ ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is $\frac{9}{2}$ units. Segment BD (the height) is $\frac{9}{2} * \sqrt3$ .

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is $x$ , the other side opposite a 45 degree angle is also $x$ , but the hypotenuse (side opposite the right (90 degree) angle) is $\sqrt{2}*x$ .

BD is $\frac{9}{2} * \sqrt3$ , which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is $\frac{9}{2} * \sqrt6$ .

4) Area is $\frac{1}{2}*b*h$ , the base (b) is AC (which is $\frac{9}{2}+\frac{9}{2}*\sqrt3$ ), the height is BD ( $\frac{9}{2}*\sqrt3$ ). When multiple you will get $\frac{81}{4}*\sqrt3 + \frac{243}{4}$ , then this multiplied by 1/2 is

$\frac{81}{8}*\sqrt3 + \frac{243}{8}$ <--> this is the area!

5) Perimeter is just the sum of all side: 9 + $\frac{9}{2}$ + $\frac{9}{2} * \sqrt6$ = $\frac{27}{2}$ + $\frac{9}{2} * \sqrt6$ unit

6 0

3 years ago

I need to be answered quickly

Helen [10]

Answer:△JKL∼△STU

When two triangles are similar , then their corresponding sides are proportional and Corresponding angles of one triangle is equal to corresponding angles of another Triangle.

The two Triangles can be similar by following Similarity axiom

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

“Bishon needs to sell at least 0.3 of his Collin sports card to make room for new cards.is 3/20 of his collection enough? Explai

Darya [45]

Answer:

I dont know But maybe the answer is No

Step-by-step explanation:

0.3 is 30% and if 1/10 is 10% then 2/20 must be 10% because 5% is 1/20

so maybe 3/20 is only 15%

I hope this helps :)

Sorry if it dosent i suck at explaining things ; - ;

3 0

3 years ago

Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?

irga5000 [103]

Answer:

La probabilidad que hay de que sea fin de semana es $\frac{2}{7}$

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

$P(A)=\frac{numero de casos favorables}{numero de casos posibles}$

En este caso:

número de casos favorables: 2 (cantidad de días del fin de semana)
número de casos posibles: 7 (cantidad de días totales en la semana)

Reemplazando:

P(A)= $\frac{2}{7}$

<u><em>La probabilidad que hay de que sea fin de semana es </em></u> $\frac{2}{7}$ <u><em></em></u>

3 0

3 years ago