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3 years ago

Question 3 of 10

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer:

true

Step-by-step explanation:

heat exhaustion and heatstroke can be counted as serious form of heat injury

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Side a of the triangle is a utility pole. Henry would like to know how long the guy wire, c, should be.

jasenka [17]

We know that the pole is perpendicular to the ground

And that the length of the pole is 20 feet tall, and the base is 15 feet

Now, the guy wire is a wire that provides support to the pole by connecting the top of the pole to the ground

So this represents a right angled triangle (refer image), and the hypotenuse is the length of the guy wire

Using Pythagoras theorem, we can find out the length of the hypotenuse

⇒ Hypotenuse² = Perpendicular² + Base²

⇒ Hypotenuse² = 20² + 15²

⇒ Hypotenuse² = 400+225

⇒ Hypotenuse² = 625

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, the correct option is B 25 ft.

6 0

3 years ago

Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m

arsen [322]

Answer:

72 mles

Step-by-step explanation:

For better understanding, I'll make use of an attachment.

From the attachment,

O represents the start point

$OB = 30$ --- Jack

$AB = 78$ -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

$AB^2 = OA^2 + OB^2$

This gives:

$78^2 = OA^2 + 30^2$

$6084 = OA^2 + 900$

Subtract 900 from both sides

$OA^2= 6084 - 900$

$OA^2= 5184$

Take square roots

$OA = \sqrt{5184}$

$OA = 72$

<em>Hence, Jill drove 72 miles</em>

5 0

3 years ago

Select the correct answers.

Alexeev081 [22]

Answer:

Option B is the right choice,congruent to $\angle K$ are $\angle M,\angle E,\angle C$ .

Step-by-step explanation:

If we look on to the diagram and the options we can sort out the angles on the basis of our requirement.

There are three sets arising from the angles.

$\angle K=\angle P$ [Corresponding angles]

The corresponding angles are the ones at the same location at each intersection.

$\angle K=\angle M$ [Vertically opposite angles]

And

$\angle M=\angle P$ [Alternate interior angles]

Now

$\angle R =\angle C =\angle E$ [Corresponding angles]

$\angle C=\angle A$ [Vertically opposite angles]

$\angle G=\angle E$ [Vertically opposite angles]

$\angle K=\angle M=\angle P=\angle R=\angle C=\angle A=\angle E=\angle =\angle G$

So the correct pair from the options given is B which includes $\angle M=\angle E=\angle C$

8 0

3 years ago

Read 2 more answers

15 points!! & will give brainliest!

astra-53 [7]

Answer:

make sure u do X axix before y

4 0

2 years ago

Read 2 more answers

Mortgage (monthly)

rodikova [14]

Answer:

Amount you could save per month if you take 25% of your discretionary monies and put it in a savings account is $209.68

Step-by-step explanation:

Expense Amount Per Month Expenses

Mortgage (monthly) $985.64 $985.64

Cell phone (monthly) $58.30 $58.30

Groceries (twice a month) $154.00 $308.00

Clothing (monthly with $180.00 $180.00

25% job–related )

Water & electric (monthly) $128.40 $128.40

Weekly dinner & movie $55.00 $220.00

Property taxes (6 months) $684.80 $114.133

Car insurance (quarterly) $330.00 $110.00

Groceries multiplied by 2 as you buy them twice a month. Dinner and movie on weekly basis, so you multiply it by 4. Car Insurance you pay for 4 quarters. 1 quarter has 3 months so, you divide 330 by 3, to find the amount paid per month. Rest of the data is monthly expense.

So, your total fixed expense per month = $ 2104.473.

Discretionary income = Income - Expense.

Discretionary income = $ 2,943.20 - $ 2104.47

= $ 838.73

Now, you are saving 25% of the discretionary income into your account. So, 25 % of $838.73 is your saving

Amount you could save = 25 % of $838.73

= 0.25 x $838.73

= $209.68

6 0

3 years ago