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Dimas [21]
3 years ago
5

Please help I don’t understand math

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

x = 12

Step-by-step explanation:

The sum of the two smaller angles is 140

80+5x = 140

Subtract 80 from each side

80+5x-80 =140-80

5x = 60

Divide each side by 5

5x/5 = 60/5

x = 12

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Starting at home, Luis traveled uphill to the gift store for 50 minutes at just 6 mph. He then traveled back home along the same
mario62 [17]

Average speed for the entire trip, both ways, is

                 (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:
         Going:       5 miles
         Returning:  5 miles
         Total         10 miles

Time:
         Going:        50 minutes
         Returning:   25 minutes
         Total:          75 minutes  =  1.25 hours  

         Average speed for the whole trip =

                       (total distance) / (total time)

                   =      (10 miles)  /  (1.25 hours)

                   =       (10 / 1.25)  miles/hours 

                   =          8 miles per hour
4 0
3 years ago
I need help with this practice I am having a tough time solving it properly
Monica [59]

Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

f(x)=acos(bx+c)+d

Where,

a is the amplitude of the function,

Now,

According to the question:

The amplitude of the function is 9, which means:

f(x)=9cos(bx+c)+d

The vertical shift is 11 units down, which means:

f(x)=9cos(bx+c)-11

For period:

\begin{gathered} f(x)=-9cos(\frac{12\pi}{7}x+0)-11 \\ f(x)=-9cos(\frac{12\pi}{7}x)-11 \end{gathered}

Final answer:

Hence, the cosine function is shown below;

f(x)=-9cos(\frac{12\pi}{7}x)-11

4 0
1 year ago
Write equation for the center(-1,0) radius of 6
Ira Lisetskai [31]

Answer:

(x+1)² + y² = 36

Step-by-step explanation:

<u>Equation of a circle:</u>

(x-h)² + (y-k)² = r²

Center: (h,k)

Radius: r

Given a center of (-1,0) and a radius of 6, we have for our equation:

(x-(-1))² + (y-0)² = 6²

(x+1)² + y² = 36

3 0
3 years ago
For which function is f(x) equal to f^-1(x)?
natulia [17]
I think it can be C. but then again who am i
7 0
3 years ago
Simplify the expression 56-2(4+x)
lesya692 [45]

Answer:

48+x

Step-by-step explanation:

56-2(4+x)

56-8+x

48+x

5 0
3 years ago
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