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Leona [35]
3 years ago
15

Twice a number decreased by four is greater than ten, what numbers satisfy this condition

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
The values are represented by the inequality x>7
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Two triangles have bases with lengths 5in and 8in.
Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

7 0
2 years ago
While researching Facts on the planet earth Kate learned that a true earth day is about 23.93 hours long how many hours are in 2
HACTEHA [7]

Answer:

335.02

Step-by-step explanation:

Just multiply 23.93 by 14 which is 2 weeks

4 0
3 years ago
This year the fifth grade collected 216 fewer plastic containers than the fourth grade.How many plastic containers did the fifth
kap26 [50]

Let number of plastic containers collected by fourth grade= x

Then number of plastic containers collected by fifth grade students=x-216

OR

If number of plastic container collected by fifth grade is y

then number of plastic container collected by fourth grade=y+216

So, we can write it as follows

⇒ number of plastic containers collected by fourth grade= number of plastic containers collected by fifth grade +216



7 0
3 years ago
Which line has a larger slope?
nexus9112 [7]

Answer:

the one on the right looks best for the slope because the slope is a lot larger than the one on the right the one on the right is smaller but a few inches few times I don't know you might want to check it before I actually answer it for you so I hope you found this kind of helpful thank you bye

5 0
2 years ago
How old am I if 300 reduced by 2 times my age Is 114
vova2212 [387]
The answer is 93 years old.
6 0
2 years ago
Read 2 more answers
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