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3 years ago

In the rhombus, m∠1=8y-6. Find the value of y?

Mathematics

1 answer:

lesya [120]3 years ago

8 0

Answer:

The value of y = 12

Step-by-step explanation:

Points to remember

In a rhombus the diagonals are bisect each other perpendicularly.

To find the value of y

From the figure we can see a rhombus. The <1 is a right angle.

m<1 = 90

Therefore, 8y - 6 = 90°

8y = 90 + 6

8y = 96

y = 86/8

y = 12

Therefore the value of y = 12

You might be interested in

Which description is represented by a discrete graph?

ozzi

Answer:A)

Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax

here x will be number of bowl which can only be dicrete value e.g 1 , 2 , 3 , 4 ...

Step-by-step explanation:

A discrete graph is a series of scatter plot points. It means point on graph aren't continuous manner.

A continuous function allows the x-values to be ANY points in the interval, including fractions, decimals, and irrational values. A discrete function allows the x-values to be only certain points in the interval, only integers or whole numbers.

Example

Number of student, x

x can only be integer

Step-by-step explanation:

8 0

3 years ago

What does 1.2h-2.8=2 in one step equation form ?

nekit [7.7K]

Answer:

h=4

Step-by-step explanation:

1.2h-2.8=2

1.2h=2+2.8

1.2h=4.8

h=4.8/1.2

h=4

8 0

2 years ago

Martens got a small aquarium forgot her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martens pu

sp2606 [1]

Answer:

Depth of Martens aquarium water = 14 cm.

Step-by-step explanation:

Given:

An aquarium,which is a right rectangular prism.

Length of the aquarium, $l$ = 18.5 cm

Width of the aquarium, $b$ = 15 cm

Volume of the aquarium, $V$ = 3885 cm cubes

We have to find the depth of the aquarium.

Let the depth be $h$ cm.

Note:

Volume of the rectangular prism,V=lbh.

⇒ $V$ = $l\times b\times h$

⇒ $h=\frac{V}{l\times b}$

⇒ Plugging the values.

⇒ $h=\frac{3885\ cm^3}{18.5\ cm\times 15\ cm}$

⇒ $h=14$ cm

So,

The depth of the aquarium water is 14 cm.

4 0

3 years ago

Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of

Deffense [45]

Complete Question

It has been found from experience that the mean breaking strength of a particular brand of thread is 9.72 oz with a standard deviation of 1.4 oz. Recently a sample of 36 pieces of thread showed a mean breaking strength of 8.93 oz. Can one conclude at a significance level of (a) 0.05, (b) 0.01 that the thread has become inferior?

Answer:

At both $\alpha = 0.05$ and $\alpha = 0.01$ the conclusion is that the thread has become inferior

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 9.72 \ oz$

The standard deviation is $\sigma = 1.40\ oz$

The sample size is n = 36

The sample mean is $\= x = 8.93 \ oz$

The null hypothesis is $H_o : \mu = 9.72 \ oz$

The alternative hypothesis is $H_a : \mu < 9.72 \ oz$

Generally the test statistics is mathematically represented as

$t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }$

=> $t = \frac{ 8.93 -9.72}{ \frac{ 1.4 }{ \sqrt{36} } }$

=> $t = -3.33$

The p-value obtained from the z- table is

$p-value = P( Z < -3.39) = 0.00034946$

So at $\alpha = 0.0 5$

$p-value < \alpha$

So we reject the null hypothesis,hence we conclude that the thread has become inferior

So at $\alpha = 0.0 1$

$p-value < \alpha$

So we reject the null hypothesis,hence we conclude that the thread has become inferior

5 0

3 years ago

How do you find all zeros by factoring

TiliK225 [7]

Set the function equal to 0.Using "educated guessing", find two integers whose product equals c and whose sum equals b. These integers are always factors of c.Form a product of factors containing the variable and each of the integers found.Set each factor equal to 0 and solve to find the Zeros.

http://sites.csn.edu/istewart/Math126/zeros_factor/zeros_factor.htm

7 0

2 years ago