The roof of Sally’s house is a triangular prism. The angle at the top of this roof is a right angle and the measure of one of the interior angles is 45°. What is the measure of the unknown angle?

A. 45°
B. 55°
C. 35°
D. 25°

Answer:

hello, i am not sure. but the answer is between a and c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Rate is 8.5%

Step-by-step explanation:

Step 1: Write the given terms

Principal (p)=Rs8800

Rate(r)=?

Time(t)=3.5 years

Interest=Rs2618

Step 2: Write the formula for calculating Simple interest

[tex]i = \frac{prt}{100} [/tex]

Step 3: Make r the subject of the equation

[tex]by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} [/tex]

Step 4: Find the value of r by substituting the values in step 1

[tex]r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5[/tex]

Hence, the rate is 8.5%

Answer:

6

Range is calculated by substracting smallest value but highest value.

Please give brainliest.

Answer:

C) 50°

Step-by-step explanation:

[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]

[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]

[tex]\implies m\angle BEC= 50\degree[/tex]

Answer:

??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

Answer:

780.54-455=425.54

Step-by-step explanation:

425.54+1570.85+12.60+9.50=2018.49

Answer:

  √89

Step-by-step explanation:

The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...

  c² = a² +b²

  c² = 5² +8² = 25 +64 = 89

  c = √89 . . . . the length of the third side

Answer:[tex]\sqrt{89}[/tex]

Step-by-step explanation:

opposite=8

Adjacent=5

Hypotenuse= ?

Using pythagoras theorem,

[tex]Hyp^{2} = Opp^{2} + adj^{2}[/tex]

[tex]Hyp^{2}[/tex]= [tex]8^{2} +5^{2}[/tex]

[tex]Hyp^{2}[/tex]=64 +25

[tex]Hyp^{2} =89[/tex]

Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse

Hyp=[tex]\sqrt{89}[/tex]

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

Distance:-

[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]

[tex]\\ \rm\Rrightarrow 9.22units[/tex]

Answer:

Below in bold.

Step-by-step explanation:

30 = 2 * 3 * 5

12 = 2 * 2 * 3

Note that 2 and 3 are common to both factors

so the HCF = 2*3 = 6.

Only one 2 and one 3 of the duplicates are included in the LCM:

so the LCM = 2 * 3 * 2 * 5 =  60

20 = 2 * 2 * 5

12 = 2 * 2 * 3

HCF = 2 *2 = 4

LCM = 2*2*3*5 = 60.

Hello!

We have

4kp×k

Multiply 4 times k times k times p:

4k²p

k² = k times k (k times itself)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\boxed{An~Emotional~Helper~here~}[/tex]

Answer:

B: 6 miles

Step-by-step explanation:

You divide 18 by 3 and get 6.

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]

[tex]\sf \rightarrow -3[/tex]

equation:

[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]

[tex]\hookrightarrow \sf y = -3x+21[/tex]

the y-intercept of this function:

[tex]\hookrightarrow \sf y = -3(0)+21[/tex]

[tex]\hookrightarrow \sf y =21[/tex]

distance between both y-intercept :

Answer:

$5

Step-by-step explanation:

20% = .2

multiply 25 by .2 and you get 5 so $5 is the tip amount

Answer:

money left= -50•games played + 47.50

Answer: A

Step-by-step explanation:

If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.

We can use the fact that:

sinθ = cos(90 - θ)

to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).

If 2sinθ = 6/5.

Then the value of cos (90 - θ) will be

cos (90 - θ) can be written as sin θ

Then we have

cos (90 - θ) = sin θ

cos (90 - θ) = 3/5

Learn more about sine to cosine conversion here:

https://brainly.com/question/1421592

#SPJ2

Answer:

160 degrees

Step-by-step explanation:

We can split up the angle into two sections:

One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).

So we just add them two together

70+90=160

Answer:

(b) is inverse while (a) is not inverse.

Step-by-step explanation:

we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).

Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.

At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypotheses, it is tested if there is a difference, hence:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

For each sample, they are given by:

[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]

[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]

Hence, for the distribution of differences, they are given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Then:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{0.17 - 0}{0.205}[/tex]

[tex]t = 0.83[/tex]

Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].

Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.

More can be learned about the t-distribution at https://brainly.com/question/13873630

Answer:

length= 52 feet,

width= 15 feet

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]

Let the length and the width of the rectangle bs L and W feet respectively.

L= 4W -8 -----(1)

Perimeter of rectangle= 2(length +width)

2(L +W)= 134

Divide both sides by 2:

L +W= 67 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]

Substitute (1) into (2):

4W -8 +W= 67

5W -8= 66

5W= 67 +8

5W= 75

W= 75 ÷5

W= 15

[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]

Substitute W= 15 into (1):

L= 4(15) -8

L= 60 -8

L= 52

[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]

Thus, the rectangle's length is 52 feet, and its width is 15 feet.

Answer:

the center is (-2,4) and the raduis is 3

Step-by-step explanation:

For equations of circles, the center will be the inverse of the euation. for example. If the equation had (x+3)^2 and (x-4)^2 the center is (-3,4).

And for the raduis of a circle equation it is always r^2. Since the 9 is in place, 3^2 is just 3x3 = 9.

I hoped this helped, would appreciate if you marked brainliest!

Answer:

-3.86

Step-by-step explanation:

Answer:

$10.8

Step-by-step explanation:

Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8

Answer:

About 260 seconds

Step-by-step explanation:

Tha rate is:

A: 8L/1.66666m

b: 10L/1m (converted to litres)

Divide 2400 by those rates above which:

2400 / (8/1.66666) = 500

2400 / (10/1) = 240

500 - 240 = 260

Answer:

16

Step-by-step explanation:

2^10 = 1,024

2^6 = 64

1,024/64 = 16

Hope that helps!

The right is answer the left is explanation

Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !

The area of the kite is the amount of space it occupies

The area of the assumed kite is 25 square units

The question is incomplete, as the dimensions of the kites are not given.

So, I will provide a general explanation

The area of a kite is:

Area = 0.5pq

Where p and q are the lengths of the diagonals of the kite.

Assume that p = 5 and q = 10, for a kite.

The equation becomes

Area = 0.5 * 5 * 10

Evaluate

Area = 25

Hence, the area of the assumed kite is 25 square units

Read more about areas at:

https://brainly.com/question/24487155

<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.

In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.

Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:Answer is A

Step-by-step explanation:

just did it on khan academy

Answer:

x-1

Step-by-step explanation:

f(x) = x+1

g[f(x)] = x

g[x+1]=x

g(x)=x-1