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laiz [17]
3 years ago
5

Can i get help for this please

Mathematics
2 answers:
lianna [129]3 years ago
7 0

Answer:

<h2>65 units^2</h2>

Step-by-step explanation:

Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65

Aleks [24]3 years ago
6 0

Answer:

60

Step-by-step explanation:

Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.

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qwelly [4]

Answer:

A series of prime numbers starting with 9?

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The surface area of a square pyramid is 84 square inches. The side length of the base is 6 inches. What is the value of x?
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Tomika heard that the diagonals of a rhombus are perpendicular to each other. Help her test her conjecture. Graph quadrilateral
Stella [2.4K]

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

l_{AB} = \sqrt{\left (6-4  \right )^{2}+\left (6-1  \right )^{2}} = \sqrt{29}

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

l_{BC} = \sqrt{\left (1-6  \right )^{2}+\left (4-6  \right )^{2}} = \sqrt{29}

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

l_{CD} = \sqrt{\left (-1-1  \right )^{2}+\left (-1-4  \right )^{2}} = \sqrt{29}

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

l_{DA} = \sqrt{\left (4-(-1)  \right )^{2}+\left (1-(-1)  \right )^{2}} = \sqrt{29}

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Therefore;

Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

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3 years ago
Joel is considering putting a $1,000 laptop purchase on his credit card, which has an interest
Alex777 [14]

Answer: Joel is considering putting a $1,000 laptop purchase on his credit card, which has an interest

rate of 12% compounded monthly. How long will it take him to pay off the purchase if he

makes payments of $30 a month?

33.333

Step-by-step explanation: Divided 1000 by 30

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2 years ago
Which exponential equation is equivalent to the logarithmic equation below?
eduard
B, raise 10 to the power of both sides of the equation, and when you have 10^log(x), it just becomes x, so 10^a=10^log(987)=987

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3 years ago
Read 2 more answers
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