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love history [14]
3 years ago
13

What is the least integer value that satisfies the inequality 2x – 7 ≥ 3?

Mathematics
2 answers:
Nataliya [291]3 years ago
5 0

Answer:

c. 9

Step-by-step explanation:

2^(7 – 7) =1      1≥ 3?   No

2^(8 – 7) =2     2≥ 3?  No

2^(9 – 7) =4     4≥ 3?  Yes

san4es73 [151]3 years ago
3 0

Answer:

C. 9

Step-by-step explanation:

Looking at the graph, we can see the lowest number which lies in the shaded region of the graphed are is 9. Therefore, that is the answer.

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Drag each length to the correct location on the image. Each length can be used more than once, but not all lengths will be used.
RSB [31]

Answer:

The length of the unknown sides of the triangles are as follows:

CD = 10√2

AC = 10√2

BC =  10

AB = 10

ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.

c² = a² + b²

where

c = hypotenuse side = AD = 20

a and b are the other 2 legs

lets use trigonometric ratio to find CD,

cos 45 = adjacent / hypotenuse

cos 45 = CD / 20

CD = 1 / √2 × 20

CD = 20 / √2 = 20√2 / 2 = 10√2

20² - (10√2)² = AC²

400 - 100(2)  = AC²

AC² = 200

AC = √200 = 10√2

ΔABC is a right angle triangle too. Therefore,

AB² + BC² = AC²

Using trigonometric ratio,

cos 45 = BC / 10√2

BC = 10√2 × cos 45

BC = 10√2 × 1 / √2

BC = 10√2 / √2 =  10

(10√2)² - 10² = AB²

200 - 100 = AB²

AB² = 100

AB = 10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A plane travels a distance of 22,000km in a time of 3.6 hours. What is its average speed rounded to the nearest whole number
fredd [130]

Answer:6111 km/hr

Step-by-step explanation:

Given

Distance travels by plane d=22,000 km

time taken t=3.6 hours

\text{distance}=\text{speed}\times\text{time}

average speed

v_{avg}=\dfrac{22,000}{3.6}=6111.11\approx 6111\ km/hr

4 0
3 years ago
Sean has a collection of coins. One tenth of the coins are from Europe. Thirty-two hundredth are from Asia. The rest are from Af
Tema [17]
Lets write each part, the total will be x:
(1/10)x = Europe
3200 = Asia
x - <span>(1/10)x - 3200 = Africa

Europe + Asia = </span><span>(1/10)x + 3200 = x/10 + 3200
= (320x + 1)/3200
that would be expressed as a fraction, and depends on the total of coins, x</span>
7 0
3 years ago
Read 2 more answers
QUESTION 4
Scrat [10]
I think D is the correct answer
4 0
3 years ago
Which angle is supplementary to ∠1?
Hatshy [7]
Answer: angle 2 is supplementary to angle 1
4 0
3 years ago
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