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2 years ago

Jake drew a kite the sketch below of a kite that he wants to make.

Mathematics

1 answer:

Kipish [7]2 years ago

3 0

Answer:

1/2 (40×60)

Step-by-step explanation:

area of kite = 1/2 × diagonal 1 × diagonal 2

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Ben and Landon took turns driving on their recent 820 mile road trip. Ben averaged 60 miles per hour while landon averaged 56 mi

Furkat [3]

Landon drove for 5 hours.

Step-by-step explanation:

Given that,

Total distance of the road trip = 820 miles

Speed of Ben = 60 miles per hour

Speed of Landon = 56 miles per hour

Step 1 :

Let 'x' be the number of miles Ben drove

Let 'y' be the number of miles Landon drove

Step 2 :

The trip took them 14 hours to complete 820 miles together.

x + y = 14

60x + 56y = 820

Step 3 :

Solve the linear system x+ y= 14 and 60x+ 56y= 820

x + y = 14

x = 14 - y

Step 4 :

Substitute x= 14-y in the second equation,

60(14-y) + 56y = 820

840 - 60y + 56y = 820

Step 5 :

Keeping y terms on one side and constants on other side,

60y - 56y = 840 - 820

4y = 20

y = 20/4

y = 5

Since 'y' is the number of miles Landon drove, the time Landon drove is 5 hours.

3 0

2 years ago

On Sasha's desk there are c green notebooks. The number of red notebooks on her desk is 6 less than number of green notebooks. H

aksik [14]

Sasha's desk has $c$ green notebooks.

The number of red notebooks on her desk is $c-6$ .

Sasha's desk has either green or red notebooks.

The total number of notebooks on Sasha's notebook is $c+c-6=2c-6$ .

7 0

2 years ago

Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.

diamong [38]

Answer: The given triangle LMN is an obtuse-angled triangle.

Step-by-step explanation: We are given to use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle.

From the figure, we note that

in ΔLMN, LM = 5 units, MN = 13 units and LN = 14 units.

We know that a triangle with sides a units, b units and c units (a > b, c) is said to be

(i) Right-angled triangle if $b^2+c^2=a^2,$

(ii) Acute-angled triangle if $b^2+c^2>a^2,$

(iii) Obtuse-angled triangle if $b^2+c^2$

For the given triangle LMN, we have

a = 14, b = 13 and c = 5.

So,

$b^2+c^2=13^2+5^2=169+25=194,\\\\a^2=14^2=196.$

Therefore, $b^2+c^2$

Thus, the given triangle LMN is an obtuse-angled triangle.

5 0

2 years ago

Jorge and Jillian have cell phones with different service providers. Jorge pays $50 a text month and $1 per text message sent. J

barxatty [35]

Answer:

When they send 25 texts each, their bills will be equal

Step-by-step explanation:

Let the number of text messages that makes their bill equal be x

Jorge will have a bill of = 50 + x(1) = 50 + x

Jillian will have a bill of = 72 + 0.12(x) = 72 + 0.12x

Since their bills will now be equal, we equate both

50 + x = 72 + 0.12x

72-50 = x-0.12x

22 = 0.88x

x = 22/0.88

x = 25 texts

4 0

2 years ago

What is the exact volume of the cone?

aleksandrvk [35]

1st one is the correct one

7 0

2 years ago

Read 2 more answers