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olasank [31]
3 years ago
5

Brian cut a piece of cardboard in the shape of a trapezoid the area of the cut out is 43.5 cm² if the bases are 6 cm And 8.5 cm

long what is the height of the trapezoid
Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0

Answer: the height of the trapezoid is 6 cm

Step-by-step explanation:

The formula for determining the area of a trapezoid is expressed as

Area = 1/2(a + b)h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 6 cm

b = 8.5 cm

If the area of the cut out is 43.5 cm², then

53.5 = 1/2(6 + 8.5)h

Cross multiplying by 2, it becomes

43.5 × 2 = (6 + 8.5)h

87 = 14.5h

h = 87/14.5 = 6 cm

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3 1/2 x 14 =___x 7 = ___
motikmotik

Answer:

for the first blank 7 the second blank is 49

Step-by-step explanation:

So what you do is cange 3 1/2 to 3.5 and multiply it by 14 getting 49 the you divide that by 7 and get 7 and then the last step is to multiply 7 times 7 to get 49

4 0
3 years ago
Read 2 more answers
Which quadratic function has Vertex (-1,4) and passes through (4,19) <br> HELP
hichkok12 [17]

Answer:

f(x)=\frac{3}{5}(x+1)^2+4

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

f(x)=a(x-h)^2+k

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

f(x)=a(x+1)^2+4

The parabola also passes through (4,19) hence it must satisfy its equation.

19=a(4+1)^2+4

19-4=a(5)^2

15=25a

We divide both sides by 25 to get:

a=\frac{15}{25}= \frac{3}{5}

Hence the quadratic function is:

f(x)=\frac{3}{5}(x+1)^2+4

6 0
3 years ago
This summer, Nora spent 8 days visiting her aunt and 2 weeks visiting her grandmother. In all, how many days did she spend visit
balandron [24]

Answer:

22

Step-by-step explanation:

1 week = 7 days

2 weeks= 14 days

14+8=22

8 0
4 years ago
The experimental probability that the bus will arrive after 8:19 is
Reil [10]

Answer:

i wish i can help but good luck

Step-by-step explanation:

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3 years ago
1) (9,- 4) and (1,8) are thecoordinates of the endpoints of a diameter of a circle. Write the
gizmo_the_mogwai [7]

Answer:

(x-5)²+(y-2)²=52

Step-by-step explanation:

first find the midpoint (center of the circle)

(9+1)/2, (-4+8)/2

(5, 2) = center

then distance formula to find diameter

√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52

The radius is half the diameter = √52

Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center

Now you can plug everything in.

(x-5)²+(y-2)²=52

7 0
3 years ago
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