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3 years ago

A kite was broken into two triangles of the same size and shape .

Mathematics

2 answers:

babunello [35]3 years ago

7 0

ANSWER

Each triangle:40 cm²

Kite : 80cm²

EXPLANATION

The area of a triangle is

$\frac{1}{2}bh$

The height of the triangle is

$h = \frac{1}{2} (10)=5cm$

and the base is 16 cm.

The area of each triangle is

$= \frac{1}{2}(16)(5) = 40 {cm}^{2}$

2. The total area of the kite is 2 times the area of one triangle.

$= 2 \times 40 = 80 {cm}^{2}$

gizmo_the_mogwai [7]3 years ago

3 0

Answer:the answer is 8

Step-by-step explanation:

because they split up the triangle which makes the height a diffrent number so u divide by 2, 16 divided by 2 = 8.

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The National Cancer Institute estimates that 3.65% of women in their 60s get breast cancer. A mammogram can typically identify c

masha68 [24]

Answer:

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: Having breast cancer.

3.65% of women in their 60s get breast cancer

This means that $P(B) = 0.0365$

A mammogram can typically identify correctly 85% of cancer cases

This means that $P(A|B) = 0.85$

Probability of a positive test.

85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

$P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792$

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

$P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917$

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer

7 0

2 years ago

Which property explains the step shown in solving the equation?8x − 15 + 6x = 10x − 18 ⇒ 8x + 6x − 15 = 10x − 18

vlada-n [284]

Answer:

Taybrownies1359Step-by-step explanation:

7 0

2 years ago

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

1. Subsittute n = 6 into the equation:

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

2. Substitute n = 5 into the equation:

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

3. Substitute n = 4 into the equation, subsitute the known values and solve for $a_1$

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

2 years ago

Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did

yan [13]

Avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.

8 0

2 years ago

Read 2 more answers

What fraction would you add to 29/6 to make 4

Zigmanuir [339]

Keeping in mind that 29/6 is greater than 4, is actually 4 and 5/6, so the amount we'll "add" will be a negative one.

$\bf \cfrac{29}{6}+x=4\implies x=4-\cfrac{29}{6}\implies x=\cfrac{4}{1}-\cfrac{29}{6}\implies x=\cfrac{(6)4-(1)29}{6}
\\\\\\
x=\cfrac{24-29}{6}\implies x=\cfrac{-5}{6}\\\\
-------------------------------\\\\
\cfrac{29}{6}+\left( -\cfrac{5}{6} \right)=4$

8 0

3 years ago