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erik [133]
3 years ago
13

Jason is 19 years older than his sister ann. in 14 years he will be twice as old as ann. how old are they now?

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
5 0
They are 16 1/2 years old.
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Can someone help me with this!
Doss [256]

Answer:

<u>Please read the answers below.</u>

Step-by-step explanation:

Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °

5. If LN = 46, then we have:

OM = <u>46</u> (Same length than LN)

PN = LN/2 = 46/2 = <u>23</u>

ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>

MN = ON = <u>32.53</u>

6. m ∠EFG = <u>90°</u>

m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>

m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>

m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°

7. Solve for x

6x - 21 = ∠PQR/2

6x - 21 = 90/2

6x - 21 = 45

6x = 45 +21

6x = 66

<u>x = 11</u>

3 0
3 years ago
The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden. ​
MakcuM [25]

Answer:

92 m

Step-by-step explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

w^{2}  + 30^{2}  =  34^{2} \\ w^{2}  + 900 = 1156\\w^{2}  =  256\\w = \sqrt{256} = 16

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m

6 0
2 years ago
What is a number that names a part of a whole or part of a whole group
Vitek1552 [10]
A number that names a part of a whole or part of a whole group is called a fraction.
4 0
2 years ago
I need help factoring this polynomial please.
Mashcka [7]

You get (2x+3)(4x^2-6x+9) when you factor 8x^3+27=0. You just divide by 3 to simplify it.


3 0
3 years ago
The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in
oksano4ka [1.4K]

Answer:

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

p_v =P(Z>2)=0.0228  

Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

\sigma=1200 represent the population standard deviation  

n=64 sample size  

\mu_o =800 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

4) P-value  

Since is a one-side upper test the p value would given by:  

p_v =P(Z>2)=0.0228  

5) Conclusion  

If we compare the p value and the significance level assumed, for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.  

4 0
3 years ago
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