All categories

3 years ago

CAN SOMEONE HELP WITH THE QUESTION IN THE IMAGE.

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

Answer:

8.4

Step-by-step explanation:

Since the four horizontal lines are parallel, they each form congruent corresponding angles with the transversal line SP. Since PQ = QR = RS, that means the vertical distances between the parallel lines is equal.

Since the parallel lines are equally spaced, and form congruent angles with the transversal line TU, then TX = XZ = ZU = 2.8.

So the length of TU is 2.8 + 2.8 + 2.8 = 8.4.

You might be interested in

Any ideas anybody? Help needed.

kvv77 [185]

Here is your answer in the picture

5 0

3 years ago

Consider the function f(x)=4x-5. what is the domain value that corresponds to an output of f(x)=11?

erastovalidia [21]

F = 4

if f(x)=11, you must always try and get x alone, so f = (11+5)/4, and this simplifies to 4.

8 0

3 years ago

I need help pleaseee

kumpel [21]

Answer: $7448

Step-by-step explanation:

Year 1: 1.218x

Year 2: 1.218(1.218x)

Year 3: 1.218(1.218(1.218x))

Year 4: 1.218(1.218(1.218(1.218x)))

Year 5: 1.218(1.218(1.218(1.218(1.218x))))

Year 6: 1.218(1.218(1.218(1.218(1.218(1.218x)))))

Year 7: 1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))

Year 8: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))

Year 9: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))))

Year 10: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))))

Year 11: x(1.218¹¹)

Year 12: x(1.218¹²) = 79,400

x(10.6602517) = 79,400

x = 79,400/10.6602517

x=7448.22939

x = $7448

Hope this helps!

6 0

2 years ago

You and your friend are practicing for a rowing competition and want to know how far it is to an island in the Indian River Lago

zepelin [54]

The drawing is missing, so i have attached it.

Answer:

24 yards

Step-by-step explanation:

From the image, we can see that AB and DE are both adjacent sides of their respective triangles.

While, CE and BC are both opposite sides of their respective triangles

Now, from your side, x is the distance to the island.

So, from ratio of similar triangles, we can find x.

Thus;

8/x = 3/9

Cross multiply to get;

8 × 9 = 3x

3x = 72

x = 72/3

x = 24

Thus, distance from your side to the island is 24 yards

6 0

3 years ago

A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft

Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

$\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)$

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

$\frac{T(t2)-T(t1)}{t2-t1}$ ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

$\frac{27 - 46}{15 - 0}$ = -h (27 - Tenv)

$\frac{19 - 27}{15 - 0}$ = -h (19 - Tenv)

Now we have a system of two equations and two variables

$\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h$

$\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18$

The refrigerator was at around 13 ∘C

6 0

3 years ago