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Scrat [10]
4 years ago
14

What is the value of x?

Mathematics
1 answer:
vivado [14]4 years ago
3 0

Answer:

x = 13

Step-by-step explanation:

Split the triangle in to two. The dimensions of each will be 12 x 5 x X.

Use the pythagorean theorem.

h^2 = 144 + 25 = 169

h = sqrt 169 = 13

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PLEASE HELP
Anika [276]

Answer:

1.43 hours

Step-by-step explanation:

Given that:

Speed of plane A = 40 mph

Speed of plane B = 100 mph

Distance between plane A and B = 200 m

In how many hours will they meet?

Recall :

Distance = speed * time

Let the time traveled by each plane = t

Since the total distance apart = 200m

Hence,

Plane A distance + Plane B distance = total distance

40t + 100t = 200

140t = 200

Divide both sides by 140

140t / 140 = 200 / 140

t = 1.4285 hours

t = 10/7 hours or 1.43 hours

7 0
3 years ago
Mrs. Proud's van was purchased new for $26,500. It is known that her model of van depreciates
lozanna [386]

Answer:

Vans is worth about $3 billion dollars, id say who cares, shes a billionare.

3 0
2 years ago
Imagine that you have an elementary school-age child and are researching childcare options. You find two that you like – one at
Rina8888 [55]

Answer:

a) Cost of the child-care center: y = 300 + 79x

Cost of the family-run childcare: y = 180 + 93x

Where x is the number of weeks.

b)  In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center.

c)The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.

Step-by-step explanation:

Hi there!

a)Let y be the cost of childcare. In the child-care center, the cost is 300 plus 79 per week. Let x be the number of weeks, then the cost function for the child-care center will be:

y = 300 + 79x

In the same way, the cost of the family-run childcare will be:

y = 180 + 93x

b) In the short-term, the family-run childcare will be cheapest because the charge for enrolling is less than for the child-care center. Let´s calculate the cost of both childcare options for low values of x:

Child-care center:

y = 300 + 79 x

x = 0, y = 300

x = 1, y = 379

x = 2, y = 458

x = 3, y = 537

x = 4, y = 616

Family-run:

y = 180 + 93x

x = 0, y = 180

x = 1, y = 273

x = 2, y = 366

x = 3, y = 459

x = 4, y = 552

c) We have to find the value of x for which the cost of the family-run childcare is greater than the cost of the child-care center:

cost family-run > child-care center

180 + 93x > 300 + 79 x

93x -79x >300 - 180

14x > 120

x > 120/14

x > 8.6

The long term option (child-care center) becomes more cost-effective if you plan to enroll your child for more than 8.6 weeks.

7 0
4 years ago
Help with this I don't know how to solve.
Mashcka [7]

Answer:

The answer is \sqrt{105} or approx. 10,25.

Step-by-step explanation:

EG^2=DG*GF \\ EG^2 = ab \\ EG = \sqrt{5*16} \\ EG = \sqrt{80}

Now let's find EF.

EF^2 = GE^2+GF^2 \\ EF^2 = 80+256\\ EF=\sqrt{336}

Now let's finally find DE.

DE = \sqrt{DF^2-EF^2} \\ DE = \sqrt{21^2-336} \\ DE = \sqrt{441-336} \\ DE=\sqrt{105}

\sqrt{105} = 10,2469... = 10,25

3 0
4 years ago
Tan (30)=14/x<br><br> need for big ideas assignment
Ann [662]

Step-by-step explanation:

tan30 = 14/x

x = 14tan30

x = -89.7

7 0
3 years ago
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