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Tatiana [17]
3 years ago
9

I need help, and I’m also confused.

Mathematics
1 answer:
amid [387]3 years ago
8 0
There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.

It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.

Since the triangles are proportional,
to find the base of the big triangle

base(big)/hypotenuse(big)=base(small)/hypotenuse(small)

Plug in the numbers


x/15=3.5/7
x/15=1/2
x=15/2
x=7.5

The length of the base of the big triangle is 7.5cm
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If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.
Rzqust [24]

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = \frac{k}{5} ( multiply both sides by 5 )

15 = k

y = \frac{15}{x} ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = \frac{15}{x} ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

8 0
3 years ago
Solve 4x + 11 = k for x.
steposvetlana [31]

Answer:

Step-by-step explanation:

Simplifying

4x + 11 = k

Reorder the terms:

11 + 4x = k

Solving

11 + 4x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11' to each side of the equation.

11 + -11 + 4x = -11 + k

Combine like terms: 11 + -11 = 0

0 + 4x = -11 + k

4x = -11 + k

Divide each side by '4'.

x = -2.75 + 0.25k

Simplifying

x = -2.75 + 0.25k

4 0
3 years ago
Three students opened saving accounts. Mariama has saved $25.40. Shai saved 3/4 of the amount that Mariama saved. Nyah saved twi
Ne4ueva [31]

The amount of money Shai saved:

25.4 \times  \frac{3}{4} = 19.05

The amount of money Nyah saved:

19.05 \times 2 = 38.1

The total amount three people saved:

38.1 + 25.4 + 19.05 = 82.55

4 0
4 years ago
Patty made a banner that has an area of 36 square inches,. The length and width of the banner are whole numbers. The length is 4
omeli [17]

Answer: width= 3 inches; length= 12 inches.

Step-by-step explanation:

From the question, the length is 4 times greater than the width.

Let the width of the banner be represented by y.

Since the length is 4 times greater than the width. It will be denoted as:

Length= 4 × y = 4y

Since area= length×width

4y × y = 36

4y^2 = 36

Divide both side by 4

y^2 = 36/4

y^2 = 9

We have to find the square root of 9

y= √9

y = 3

The width is 3 inches.

The length will be: (3×4) = 12 units.

3 0
3 years ago
Read 2 more answers
Find the value of x and y
Inessa [10]

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

-----------------------------------------------------------------------------------------------------

<u>X value</u>

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

Please let me know if you have any questions

3 0
3 years ago
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