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3 years ago

Base=30cm Heights=20cm Find the X?

Mathematics

2 answers:

Leviafan [203]3 years ago

8 0

Answer: 25

Assuming the dotted line touches the middle of the base of the triangle,

Using Pythagoras Theorem,

(30/2)^2 + (20)^2 = x^2

x^2 = (15)^2 + 400

x^2 = 625

x = √625 or -(√625)

x = 25 or -25

But since x needs to be a positive value,

x = 25

Virty [35]3 years ago

6 0

Answer:

x = 25 cm

Step-by-step explanation:

Given the triangle is isosceles ( 2 equal sides )

Then the line from the vertex is a perpendicular bisector of the base

We can use Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

where x is the hypotenuse and the legs are 15 and 20, so

x² = 15² + 20² = 225 + 400 = 625

Take the square root of both sides

x = $\sqrt{625}$ = 25

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Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r

harkovskaia [24]

The money does the choir still need to raise is $180.

Step-by-step explanation:

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

During the first fundraising project :

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

During the second fundraising project :

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

To find the money does the choir still need to raise :

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

6 0

3 years ago

Rich and Melinda are comparing mortgages. Their mortgage is for $249,000. If they choose 15 years at 4%, their monthly payment w

jok3333 [9.3K]

Answer:

Term payback = 15 yr = $331527.6 20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.

Step-by-step explanation:

20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%= 394389.648

15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6

6 0

2 years ago

Please help me ASAP

stellarik [79]

Answer:

The Graph is shown below

Step-by-step explanation:

The Graph of a Function

Given the function:

$\displaystyle y=g(x)=-\frac{3}{2}(x-2)^2$

It's required to plot the graph of g(x). Let's give x some values:

x={-2,0,2,4,6}

And calculate the values of y:

$\displaystyle y=g(-2)=-\frac{3}{2}(-2-2)^2=-\frac{3}{2}(-4)^2==-\frac{3}{2}*16=-24$

Point (-2,-24)

$\displaystyle y=g(0)=-\frac{3}{2}(0-2)^2=-\frac{3}{2}(-2)^2=-\frac{3}{2}*4=-6$

Point (0,-6)

$\displaystyle y=g(2)=-\frac{3}{2}(2-2)^2=-\frac{3}{2}(0)^2=0$

Point (2,0)

$\displaystyle y=g(4)=-\frac{3}{2}(4-2)^2=-\frac{3}{2}(2)^2=-\frac{3}{2}*4=-6$

Point (4,-6)

$\displaystyle y=g(6)=-\frac{3}{2}(6-2)^2=-\frac{3}{2}(4)^2=-\frac{3}{2}*16=-24$

Point (6,-24)

The graph is shown in the image below

8 0

2 years ago

What is 5✓28 +✓63 In simplest radical form I need it asap.

Ksenya-84 [330]

Answer:

13✓7

Step-by-step explanation:

5✓28 + ✓63

Break the radical into perfect squares.

5 times ✓4 times ✓7 + ✓9 times ✓7

5 times 2 times ✓7 + 3 ✓7

10✓7 + 3✓7

13✓7

5 0

3 years ago

I will mark brainliest

matrenka [14]

A: 2,5
B: 3,1
C: -2,4

Explanation:

When you’re moving right and up you would add however many numbers you moved up to the original points because going right on a graph makes the X a larger number, and going up makes it larger.

5 0

3 years ago