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3 years ago

Please help me find the area of the triangle above

Mathematics

1 answer:

Darya [45]3 years ago

8 0

You multiply 24 by 5 (b*h) which is 120, then you divide by 2 (1/2), which is 60. therefore, the area is 60"

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Jacob decided to ride his bicycle across the country during his 2-month summer vacation. the route he took from washington, dc t

Artist 52 [7]

Step 1: Assign variable for the unknown that we need to find.

Let ' x ' be the number of miles traveled by Jacob so far (His distance from starting point)

Step 2: Use the sentence given to set up an equation

Sentence 1: "His distance from his starting point was exactly 100 miles more than three times the distance remaining until the finishing point"

Total distance is 2800 miles, if his distance from the starting point is 'x', then remaining distance can be represented by 2800 - x.

Using the sentence we can write the below equation...

$x = 100 + 3(2800 - x)$

Distributing 3 in the right side of the equation, we get...

$x = 100 + 8400 - 3x$

Adding 3x on both sides of the equation, we get...

$x+3x = 8500$

Combine like terms in the left side of the equation, we get...

$4x=8500$

Dividing 4 on both sides of the equation, we get...

$\frac{4x}{4} =\frac{8500}{4}$

Simplifying the fraction on either side of the equation, we get...

$x=2125miles$

Conclusion:

Out of the 2800 miles, Jacob travelled a distance of 2125 miles and remaining miles that he need to cover will be <u>675 miles</u>.

3 0

3 years ago

Tulsa has 4 times as many mangoes as Julie. Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie . How many

vova2212 [387]

Answer:

Step-by-step explanation:

Let the number of mangoes owned by Tulsa be T and that by Julie be J

If Tulsa has 4 times as many mangoes as Julie then

T = 4J

Tulsa bought 6 more mangoes. She now has 5 time as many mangoes as Julie

T + 6 = 5J

Solve both equations simultaneously by substitution

4J + 6 = 5J

Collect like terms

6 = 5J- 4J

J = 6

Since

T = 4J

T = 4 * 6

= 24

Hence Tulsa had 24 mangoes at first

8 0

3 years ago

what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent

sergiy2304 [10]

Answer:

The power for the volume of the cube is '3'.

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

Step-by-step explanation:

We are given,

A cube with side equal to $\frac{1}{3}$ inches.

As we know,

Volume of a cube = $side^{3}$

Thus, we get,

Volume of the given cube is,

Volume = $(\frac{1}{3})^3$

i.e. Volume = $\frac{1}{27}$ inch³

Thus, we have,

The power for the volume of the cube is '3'.

Exponent form of the volume is $(\frac{1}{3})^3$

Volume of the cube is $\frac{1}{27}$ inch³.

4 0

3 years ago

Read 2 more answers

What would be the answer to 8x^6/ 8x^5 =?

Lubov Fominskaja [6]

In dividing two equation with variables and exponent, First you must align or rearrange the equation and group them base on their variables but don't forget the sign of each variables. Second, proceed in dividing its quantity and then subtract its exponent to the other variables having the same. So by calculating it, the answer would be X or X^1

3 0

3 years ago

A wedge of cheese in the shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpen

Rina8888 [55]

Answer:

480 cubic cm.

Step-by-step explanation:

We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.

$\text{Volume of triangular prism}=\text{Base area*Height of the wedge}$

We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.

Substituting these values in volume formula we will get,

$\text{Volume of cheese wedge}=\frac{1}{2}*\text{10 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=\text{5 cm*12 cm*8 cm}$

$\text{Volume of cheese wedge}=480\text{cm}^3$

Therefore, the volume of cheese wedge will be 480 cubic cm.

4 0

3 years ago