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2 years ago

50 points! Please help me with both. Random answers with be reported

Mathematics

1 answer:

Liula [17]2 years ago

8 0

Answer:

Q1. 86°
Q2. B(2,0), D(3,1)

Step-by-step explanation:

The angle of rotation is twice the angle of intersection:

43°*2 = 86°

Dilation by a scale factor of 2 resulted in:

(x, y) → (2x, 2y) for each point C' and D'

The endpoints of the original segment are:

C = (4/2, 0/2) = (2, 0)
D = (6/2, 2/2) = (3, 1)

Correct choice is B

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Donna is making a cookie recipe that calls for 1 ¾ cups of sugar. However, when she goes to take out the measuring cups she can

svet-max [94.6K]

Answer:

D. 3

Step-by-step explanation:

3 0

1 year ago

A temperature record in Antarctica was -120.the temperature recorded in the Sahara desert was 129.how many degrees warmer is 129

allochka39001 [22]

129 is 249 degrees warmer than -120 because -120+120=0 and then you add 129 to 0 which is 129. that means you add 120 and 129 to get 249

7 0

3 years ago

I have no clue how to answer this

lina2011 [118]

Answer:
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Step-by-step explanation:
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5 0

2 years ago

The sum of the arithmetic progression 4, ..., 76 is 1920. Find the number of terms and the common difference.

valkas [14]

Number of terms = 48

common difference = 1.5

This question involves the concept of Arithmetic Progression.

The formula for sum of an arithmetic progression series with first and last term given is;

$S_{n}$ = $\frac{n}{2}$ (a + l)

where;

a = first term

l = last term

n = number of terms

From the given sequence, we see that;

first term; a = 4

last term; l = 76

Sum of A.P; $S_{n}$ = 1920

Plugging in relevant values into the sum of an AP formula, we have;

1920 = $\frac{n}{2}$ (4 + 76)

simplifying this gives;

1920 = 40n

n = 1920/40

n = 48

Formula for nth term of an AP is;

$t_{n}$ = $a_{1}$ + (n - 1)d

where;

$a_{1}$ is first term

d is common difference

n is number of term

$t_{n}$ is the nth term in question

the 48th term is 76

Thus;

76 = 4 + (48 - 1)d

76 - 4 = 47d

72 = 47d

d = 72/47

d ≈ 1.5

Thus;

Number of terms = 48

common difference = 1.5

Read more at; brainly.com/question/16935540

4 0

3 years ago

A waterfall has a height of 900 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet pe

aliya0001 [1]

Answer:

The pebble will hit the ground 8.29 second after it is thrown.

Step-by-step explanation:

Given that,

The height of the pebble after t seconds is given by the equation

h= -16t²+24 t+900.

When the pebble hit the ground, the height of the pebble will be zero.

So putting h=0 in the given equation.

0 = -16t²+24 t+900

⇒-4(4t²-6t-225)=0

⇒4t²-6t-225=0

Applying quadratic formula $t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ , here a=4, b= -6 and c= -225.

$\therefore t=\frac{-(-6)\pm\sqrt{(-6)^2-4.4.(-225)}}{2.4}$

⇒ t = 8.29, -6.79

Since time can not negative.

∴t=8.29 seconds.

The pebble will hit the ground 8.29 second after it is thrown.

7 0

3 years ago