All categories

2 years ago

Pls answer thank you :D

Mathematics

2 answers:

USPshnik [31]2 years ago

4 0

Answer:

Step-by-step explanation:

$1)Solution\\\\b+63=90[Complementary\: angles]\\\\b=90-63\\\\b=27$

$2)Solution\\\\b+29=90[Complementary\: angles]\\\\b=90-29\\\\b=61$

$3)Solution\\\\b+60=180[Linear\: pair]\\\\b=180-60\\\\b=120$

$4)Solution\\\\b=90[Vertically\:opposite\: angles]\\\\b=90$

$5)Solution\\\\b=43[Vertically\:opposite\: angles]\\\\b=43$

stepladder [879]2 years ago

3 0

Answer:

1)90--63=27

2)180--50=130

3)43

4)90--29=61

5)90

Step-by-step explanation:

please mark me as brainlest

You might be interested in

What is the value of x in x+y=-10 and x-y=2

loris [4]

Answer:

x = -4

Step-by-step explanation:

x+y = -10 -------- (1)

x-y = 2 ------- (2)

from (1)

x+y = -10

y = -10-x -------- (3)

substitute (3) into (2)

x-y = 2

x-(-10-x) = 2

x+10+x = 2

2x = 2-10

2x = -8

x = -8/2

x = -4

6 0

3 years ago

Read 2 more answers

An element with a mass of 700 grams decays by 6.1% per minute. To the nearest

atroni [7]

Answer:

11.2 minutes

Step-by-step explanation:

If the element decreases by 6.1, every minute, it means that the mass lost every minute = 0.061 x 700g = 42.7g

The mass remaining after a minute = 657.30g

The equation that can be used to solve this question is :

700 - 42.7m = 220

m = minutes

Collect like terms

700 - 220 = 42.7m

480 = 42.7m

divide both sides of the equation by 42.7

m = 11.241218 minutes

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Here, the hundredth is less than 5, so zero would be added to 2. the answer is 11.2 minutes

7 0

3 years ago

this sounds and looks weird. The probability of the name of a day of the week ending in the letter “y” is _____.

Bond [772]

I think B because mondaY tuesdaY wednesdaY thursdaY fridaY saturdaY sundaY

5 0

4 years ago

How much will you spend on an investment if you want to receive $7,000 at an annual rate of 6% compounded weekly in 4 years?

s344n2d4d5 [400]

Answer:

The investment required is: $5687

Step-by-step explanation:

Future Amount A= $7000

Rate r = 6% =0.06

Time t = 4

Compounded Weekly = n= 52

We need to find Principal Amount P

The formula used is: $A=P(1+\frac{r}{n})^{n*t}$

Putting values and finding P

$A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687$

So, The investment required is: $5687

3 0

3 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of <em>z</em> for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago