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mr_godi [17]
3 years ago
11

Which expression has the same value as -8 + (-7)?

Mathematics
2 answers:
Phantasy [73]3 years ago
6 0

The answer is D because you can switch around the two numbers with the commutative property to make it -7-8.

ipn [44]3 years ago
5 0

D because -8 +(-7) is really just -8 -7

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Please help!! I have tried it on my own and I am stuck
elena55 [62]

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write  

\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write  

\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}

⇒ \theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ} (Answer)

8 0
3 years ago
Look at the image below
VashaNatasha [74]

Answer:

Step-by-step explanation:

hello!

(l*L *h)/3 =

(4*11* 9)/3 => 132 km³

4 0
3 years ago
Pilar is playing with a motorized toy boat. She puts the boat in a lake and it travels 400m at a constant speed. On the way back
ankoles [38]

Answer:

The trip normally takes 8 minutes

Step-by-step explanation:

The given information states that the away distance the boat traveled = 400 m

The time traveled at the same initial  speed , v₁, by the boat on the way back = 2 minutes

The increase in speed of the boat by Pilar =  10 m/min

The new speed, v₂ = v₁ + 10

The time for the return trip, t₂ = 60 seconds (1 minute) faster than time for the trip, t₁

t₂ = t₁ - 1

Therefore we have;

v₁ × t₁ = v₁×2 + v₂×(t₂-2) = 400

v₁×2 + (v₁ + 10)×(t₂-2) = 400

(v₁ + 10)×t₂ - 20 = 400

But v₁ = 400/t₁ = 400/(t₂ + 1)

Which gives;

(400/(t₂ + 1) + 10)×t₂ - 20 = 400

10×(t₂²+ 36·t₂-2)/(t₂+1) = 400

10·t₂²+ 10·t₂-420 = 0

t₂²+ t₂-42 = 0

(t₂ - 7)(t₂ + 6) = 0

t₂ = 7 minutes or -6 minutes

Given that t₂ is a natural number, we have, t₂ = 7 minutes

Whereby, t₂ = t₁ - 1, we have;

7 =  t₁ - 1

t₁ = 1 + 7 = 8 Minutes

The trip normally takes 8 minutes

3 0
3 years ago
PLEASE HELP ME
zavuch27 [327]
I got 6.49204 but you will need to round so D 6.5

I added all of the numbers up
8 0
3 years ago
Read 2 more answers
Equivalent to 13/5<br> A.2.4<br><br> B.2.45<br><br> C.2.55<br><br> D.2.6 <br><br> NEED HELP ASAP!!!!
jek_recluse [69]
D is the answer because 13 goes into 5 twice and 3 Is left over multiply that by two to get 6/10 than that it's equivalent to .6 so it is 2.6
7 0
3 years ago
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