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3 years ago

8

Find the length of x?

1 answer:

densk [106]3 years ago

6 0

If we assume the triangles are similar, then
.. 15/10 = x/8
.. x = 8*(15/10) = 12

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PLEASE I NEED HELP! I want to understand this question.

jasenka [17]

Answer:

TP = 5. greater than

Step-by-step explanation:

1. Out of the 4 options, HH, HT, TH, TT, there is one option we want (HT) which is one our of the four options. that means that the theoretical probability is 1/4 = 25%. Since there were 20 flips, the theoretical probability is 25% of 20 which is 5.

2. For experimental probability, its what actually happenned. Out of the 20 flips, 6 were HT so comapared to the Theoretical probability, the experimental probability was higher.

7 0

2 years ago

Priya's cat weighs 5 1/2 pounds and her dog weighs 8 1/4 pounds.

Lilit [14]

Answer: The cat is 2/3 times as heavy as the dog.

Step-by-step explanation:

The weight of Priya's cat = $5\frac{1}{2}\ pounds$

Now, $5\frac{1}{2}=\frac{11}{2}\ pounds$

The weight of her dog = $8\frac{1}{4}\ pounds$

$8\frac{1}{4}=\frac{33}{4}\ pounds$

Let cat is n times heavy as dog.

Then $n=\text{cat's weight}\div\text{dog's weight}$

$n=\frac{{11}{2}\div\frac{33}{4}\\\Rightarrow\ n=\frac{11}{2}\times\frac{4}{33}\\\Rightarrow\ n=\frac{2}{3}$

Hence, The cat is 2/3 times as heavy as the dog.

5 0

3 years ago

Read 2 more answers

Write this number in standard form 8×1+5×0.1+0+0.01+6×0.001

Fudgin [204]

Answer:

eight and five sixteen hundredths

Step-by-step explanation:

1) Solve the equation by using PEMDAS (solve in this order:: parenthesis, exponents, multiplication, division, addition, and then subtraction)

2) 8.516

5 0

3 years ago

Solve each inequlity 5- 2( 3x-4) -2x < -6x + 4

almond37 [142]

Answer:

x > 9/2

Step-by-step explanation:

don't get scared :) we can isolate the variable easily!

distribute

5 -2( 3x-4) -2x < -6x + 4

5 -6x + 8 - 2x < -6x + 4

-8x + 13 < -6x + 4

+6x -13 +6x -13

-2x < -9

x > 9/2

change the direction of the sign because we divided by a negative

There you go!

I hope this helps (:

8 0

3 years ago

Estimate 1 13 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal

babunello [35]

Answer:

(a) 4.152698

(b) 3.215557

Step-by-step explanation:

(a)

$\int\limits^{13}_1 {cos(x^2)} \, dx =M_n=$\sum_{n=1}^{\infty} f(m_i)\Delta x $$

n=4, so :

Each subinterval has length :

$\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3$

Therefore the subintervals consist of:

$[1,5], [5,9], [9,13]$

Now, the midpoints of these subintervals are:

$\frac{1+5}{2} =3\\\\\frac{5+9}{2} =7\\\\\frac{9+13}{2} =11$

Hence:

$M_4= 3*(cos(3^2))+3*(cos(7^2))+3*cos((11^2))\approx 4.152698$

(b)

$\int\limits^{13}_1 {cos(x^2)} \, dx =T_n=\frac{\Delta x}{2} (f(x_o)+2f(x_1)+2f(x_2)+...+2f(x_n_-_1)+f(x_n))$

n=4, so :

Each subinterval has length :

$\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3$

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

The endpoints of the subintervals consist of:

5,9

Hence:

$T_4= \frac{3}{2}(cos(1^2)+2*cos(5^2)+2*cos(9^2)+cos(13^2)) \approx 3.215557$

8 0

3 years ago