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The distance from the car to the base of the building is 107.46 feet

From the question We are given the following information

Angle of depression

Height of the building H = 37 feet

Required

distance from the car to the base of the building

Using the SOH CAH TOA identity

tan 19 = opp/hyp

tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46

Hence the distance from the car to the base of the building is 107.46 feet

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Answer:

ill say acute

Step-by-step explanation:

if im wrong tell me but if im not pls mark brainllest!

Answer:

This triangle is Acute.

Step-by-step explanation:

To figure this out you add the length of the two smaller sides if the sum is greater than the longest side then the answer is Acute. I really hope this helps have a wonderful day!

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The given expression is;

[tex]f(x) = 3x + 2 \\\\ g(x) = x_2 + 1[/tex]

[tex](f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1[/tex]

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.

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Answer:

rst = ust + usr

6x+12 = 78 + 3x - 12

3x = 54

3x+66 = 54 + 66

3x +66= 120

thus rst = 120

The measure of angle ∠RST in degree is 156°

The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.

Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°

Now, ∠RSU+UST=∠RST

Putting the values of ∠RST and ∠UST we get,

78 + (3x - 12) = 6x + 12

78 + 3x - 12 - 6x - 12 = 0

54 - 3x = 0

3x = 54

So, x = 54/3=18

Therefore, (6x + 12)°=(6×18 + 12)°

=(144 + 12)°

=156°

Hence the measure of angle ∠RST is 156°

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If Dana paid a total of $18,321.60, then the amount that she paid for in service charges will be $730.08

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

For service charge

[tex]\rm Pv = PMT[(1 - (1 + (r/k))^{-kn}) / (r/k)][/tex]

Where;

Pv is the amount of the loan = $15400

PMT is monthly payment

R is interest rate = 6.68% = 0.0668

K is number of times compounded monthly = 12

N is time = 4years

PMT the subject of the formula gives

[tex]PMT = Pv/ [(1 - (1 + (r/k))^{-kn}) /(r/k)][/tex]

PMT = 15,400 ÷ ((1 − (1 + 0.0668 ÷ 12)^(−12 × 4)) ÷ (0.0668 ÷ 12))

PMT = 366.49

Thus, the total amount paid

A = 366.49 × 12months × 4years

A = $17,591.52

Thus, the Service charge is

S.C = 18,321.60 − 17,591.52

S.C = $730.08

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The formula for the area of a triangle is 1 / 2 × base × height. This formula can be more easily written as Area = 1 / 2 bh. The formula of Area = 1 / 2 bh works for all triangles, no matter what size or shape.

Answer:

9.

Step-by-step explanation:

6 9 12 15:-  multiplying by 3.

Answer:

B) 9

Step-by-step explanation:

When looking in both the horizontal and vertical direction of the missing space, we can see that the difference between the two numbers, 12 and 15, is 3.

15 - 12 = 3

Using this, we can see that each space on the second row and second column change by 3. Therefore, when looking at the missing space in the sequence, we can figure out that it is 9 by adding 3 to 6.

An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation [tex]m^2+2m[/tex]. Since there is only one value that can satisfy this equation that is 2.

Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

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Answer:

S = 0.6md

Step-by-step explanation:

Formula

[tex]⟼ \sf \: \blue { \boxed{s \: = 0.6m \times d}}[/tex]

Step-by-step explanation:

As, we know it 60% is equal to 0.6

Therefore,:

[tex]⟼ \sf \: \green { \boxed{s \: = 0.6m \times d}}[/tex]

In conclusion, according to the word problem the score was 60% the total mark multiplied by difficulty as and as we all know it 60% equals 0.6 therefore the score equals 0.6m which is Marks × difficulty factor of the dive

Answer:

0.829

Step-by-step explanation:

Answer:

Your answer is 4

Step-by-step explanation:

(52 - 2(2)) / (9 + 3)

(52 - 4) / (9 + 3)

48 / 12 = 4

Here, we are given the cost of Jose for 1 year for attending college i.e $14500/year, and we need to find the total cost for Jose to attend college for 4 years, so here we can just use unitary method, we can just multiply the whole cost for 1 year by 4, to get the total cost for 4 years, as :

[tex]{:\implies \quad \sf Cost\:\: for\:\: 1\:\: year= \$14500}[/tex]

Now, multiplying by 4 on both sides will yield :

[tex]{:\implies \quad \sf Cost\:\: for\:\: 4\:\: years= \$14500\times 4}[/tex]

[tex]{:\implies \quad \boxed{\bf{Cost\:\: for\:\: 4\:\: years= \$58000}}}[/tex]

This is the required answer

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

Using this formula

Total cost of tuition=Cost of tuition books and fees×Number of years

Where:

Cost of tuition books and fees=$14,500 per year

Number of years=4 years

Let plug in the formula

Total cost of tuition=$14,500 per year x 4 year

Total cost of tuition=$58,000

Inconclusion the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

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Answer:

Choose all but C

Step-by-step explanation:

Givens

Area = 182 m^2

Perimeter = 54 m

Solution.

B: solves for the length, not the width. Area = L*w. Area / w = L. But to get to the length, you need to solve for the width. So this statement can be used. B is true.

C is not true. The length and width differ by 1 which means one of them is even and the other is odd. See below under A.

D is also true. 2L = 54 - 2w   Divide both sides by 2

2L/2 = 54/2 - 2w/2

L = 27 - w

E is true.

L * w = 182                              Divide both sides by w

L = 182/w

The only one we don't know about is A. We have to solve the problem to get the answer to A.

P= 2L + 2w = 54

2L + 2w = 54

L + w = 27

L = 27 - w

L*w = 182

(27 - w ) * w  = 182                   Remove the brackets

27w - w^2 = 182                      Subtract 27w - w^2  from both sides.

0 = w^2 - 27w + 182                Notice the sign change. Subtraction does that.

This factors into

(w - 13)(w - 14)

A turns out to be true, because w can be 13 or 14. When W = 13, L = 14.

When w = 14, L = 13

Answer:

200 questions

Step-by-step explanation:

Here,

total answers Gabriella answered=72

grade = 36%

total number of question = ?(X)

We know,

36% of X = 72

or, 36x/100 = 72

or, 36x = 72*100

or, x = 7200/36

or, x = 200

Answer:

No

Step-by-step explanation:

If 18 are papaya or banana and none are guava then the remaining two trees would split the 36 50-50

Answer:

s the answer is 40

n

Step-by-step explanation:

a the formula is A=bh

p so 8*5=40

dsan168

Answer:

5/16

Step-by-step explanation:

When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.

So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16

Answer:

$24

Step-by-step explanation:

Cost per plate: $2

Cost per Bowl: $2 + $4 = $6

Cost of 1 Plate and 1 Bowl: $2 + $6 = $8

Total cost of $96 divided by Cost of 1 Plate and 1 Bowl $8 = 12 sets of 1 Plate and 1 Bowl

12 plates x $2 Cost per Plate = $24

Answer:

$24

Step-by-step explanation:

Let [tex]b[/tex] = bowl

Let [tex]p[/tex] = plate

Given:

1) We can translate these into algebra. Since Rachel has equal number of bowls and plates, [tex]b=p[/tex], totaling to $96.

[tex]b=p\\2p + 6b = 96[/tex]

2) We can solve for [tex]p[/tex] these two equations simultaneously using the substitution ot elimination method. I will demonstrate using the substitution method here.

[tex]2p + 6(p) = 96\\2p+ 6p = 96\\8p = 96\\p = \frac{96}{8} \\p = 12[/tex]

So, Rachel bought 12 plates and 12 bowls since plates are equivalent to bowls.

3) Use ratio to find the the cost of the plates.

[tex]1p[/tex] = $2

[tex]12p[/tex] = $24

Let's see

[tex]\\ \rm\Rrightarrow speed=20yd/s[/tex]

[tex]\\ \rm\Rrightarrow Speed=20(3)=60ft/s[/tex]

Option D

The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.

The three types of solution of an equation are-

The first equation given in the problem is,

[tex]-3|2x+ 1.2| = -1[/tex]

This equation has one solution. This in not correct option.

The second equation given in the problem is,

[tex]3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}[/tex]

This equation has one solution. This in correct option.

Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

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Answer: 11.25 ft³

Step-by-step explanation:

     We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.

V = L * W * H

V = 2.5 * 3 * 1.5

V = 11.25 ft³

       The volume of the rectangular prism is 11.25 ft³.

Answer:

Height of base (x) is 9cm exact

Step-by-step explanation:

Answer:

60 MPH over the limit

Step-by-step explanation:

5 times 12 - 60

Answer:

3,255

Step-by-step explanation:

,

Answer:

1/2

Step-by-step explanation:

the probability of the die rolling an even number  =  the probability of the die rolling an odd number  =1/2

Let us name these  2  dice as  A  and  B

One die can roll an even and the other can roll an odd, in the following cases

A  rolls even and  B  rolls odd. The probability of this happening  =1/2×1/2

A  rolls odd and  B  rolls even. The probability of this happening  =1/2×1/2

∴  The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2

Answer:

955.168 cm²

Step-by-step explanation:

The formula to find the surface area of a cylinder is :

Surface area = 2 π r ( r +  h )

Here,

r ⇒ radius ⇒ 8 cm

h ⇒ height ⇒ 11 cm

So, Let us solve now.

Surface area = 2 π r ( r +  h )

Surface area  = 2 × 3.142 × 8 ( 8 + 11 )

Surface area  = 50.272 × 19

Surface area  = 955.168 cm²

Answer:

[tex]192cm^{2}[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} bh[/tex]

We know that b is the measurement of the base, 12, and h is the height of the cone, 32. Now we can simply insert those numbers into the equation and solve it.

[tex]A = \frac{1}{2} (12*32)\\\\A = \frac{1}{2} (384)\\\\A = \frac{384}{2} \\\\A = 192[/tex]