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Nostrana [21]
3 years ago
12

Angle a measures 110 degrees angle b measures 72 degrees the measure of angle D is

Mathematics
1 answer:
Art [367]3 years ago
6 0

Answer:

Angle D is 70, I believe

Angle D would be supplementary to A

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A ballplayer catches a ball 3.4s after throwing it vertically upward. with what speed did he throw it, and what height did it re
Daniel [21]

From the equation of motion, we know,

s=ut+\frac{1}{2}at^{2}

Where s= displacement

u= initial velocity

a= gravitational force

t= time

Displacement is 0 since the ball comes back to the same point from where it was thrown.  

A = -9.8m/s^{2} since the ball is thrown upwards.

Plug the known values into the equation.

=> 0=u\left ( 3.4 \right )+\frac{1}{2}\left ( -9.81 \right )(3.4^{2})

Solving for u gives :

u= 16.67 m/ sec ....... equation (1)

At maximum height, final velocity i.e v is 0

Time take to reach the top = \frac{3.4}{2} = 1.7 sec

v^{2}=u^{2}+2as

=> 0=(16.67)^{2}+2(-9.81)(s)

Solving for s we get

s= 14.16 m


4 0
3 years ago
Two consecutive integers have a sum of 75. Find the integers.
Pie

Answer:

37 and 38

Step-by-step explanation:

let the consecutive integers be x-1 and x

If their sum is 75

x-1+x = 75

2x - 1 = 75

2x = 75+1

2x = 76

x = 76/2

x = 38

First integer = x - 1

First integer = 38-1 = 37

Second integer is 38

Hence the integers are 37 and 38

7 0
3 years ago
Jon, Leroy, and Simon are having a free-throw shooting contest. Each boy
Zolol [24]

Answer:

B

Step-by-step explanation:

If you arrange a statistics in order from least to greatest, the middle number is the median.

If there is even number of numbers in a list, let it be n numbers, then we take the average of n/2th and n/2 + 1 th terms.

Here, all of them have 6 numbers, so 6/2 = 3  and 4th, we take average of 3rd and 4th number to find the median.

Since they are arrange in order we check each:

Jon = average of 6 and 7, (6+7)/2 = 6.5

Leroy = average of 6 and 8,  (6+8)/2 = 7

Simon = average of 5 and 6, (5+6)/2 = 5.5

Leroy's median is the greatest (7).

8 0
3 years ago
Read 2 more answers
Rosie wants to make a cube with rectangular blocks each measuring 6cm by 3cm by 8cm. Find the least number of blocks she must us
Marysya12 [62]
Hello,

lower commun multiple(3,6,8)=24 (blocks)
================================



4 0
2 years ago
Write a quadratic function in standard form with zeros 1 and -10
Licemer1 [7]

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

<u>Standard Form of Quadratic Function</u>

The standard form of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

The factored form of a quadratic equation is:

f(x)=a(x-\alpha)(x-\beta)

Where \alpha and \beta are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

f(x)=a(x-1)(x-(-10))

f(x)=a(x-1)(x+10)

Operating:

f(x)=a(x^2+10x-x-10)

Joining like terms:

f(x)=a(x^2+9x-10)

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

\boxed{f(x)=x^2+9x-10}

6 0
3 years ago
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